├── .gitignore
├── .ipynb_checkpoints
└── testImg-checkpoint.ipynb
├── .vscode
└── settings.json
├── CamDown.py
├── CommonFunctions.py
├── Doc
├── Images
│ ├── QuadRotorPlus.png
│ ├── QuadRotorX.png
│ ├── dir_spyder.png
│ ├── dir_spyderSelect.png
│ ├── dir_spyder_set.png
│ ├── equ_gps.gif
│ ├── equ_imu.gif
│ ├── sensors_3d.png
│ ├── sensors_att.png
│ ├── sensors_pos.png
│ ├── spyder_effect.png
│ ├── spyder_qt5set1.png
│ ├── spyder_qt5set2.png
│ ├── test_2d.png
│ └── test_3d.png
└── SensorSystem.md
├── LICENSE
├── MemoryStore.py
├── ModuleTest
├── dynamic_actuator.m
├── dynamic_basic.m
├── rk4.m
└── testResult.m
├── Paper
├── Modeling and Analysis of Temperature Effect on MEMS Gyroscope.pdf
└── NEO-M8-FW3_DataSheet_(UBX-15031086).pdf
├── QuadrotorFlyGui.py
├── QuadrotorFlyModel.py
├── QuadrotorFlyTest.py
├── README.md
├── SensorBase.py
├── SensorCompass.py
├── SensorGps.py
├── SensorImu.py
├── StateEstimator.py
├── Test
├── Test_full.py
├── Test_fullWithCamdown.py
├── Test_fullWithSensor.py
└── Test_simple.py
├── UuvModel.py
└── testImg.ipynb
/.gitignore:
--------------------------------------------------------------------------------
1 | *.asv
2 | /__pycache__/
3 | /.idea/
4 | /weight/
5 | /logs/
6 | /__pycache__/
7 | /Data/
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/.vscode/settings.json:
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1 | {
2 | "python.pythonPath": "d:\\Anaconda3\\envs\\cpu2\\python.exe"
3 | }
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/CamDown.py:
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1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """'used for manage and generate cam data with set ground-image.
4 | it is a virtual camera
5 |
6 | By xiaobo
7 | Contact linxiaobo110@gmail.com
8 | Created on 十一月 21 20:29 2019
9 | """
10 |
11 | # Copyright (C)
12 | #
13 | # This file is part of quadrotorfly
14 | #
15 | # GWpy is free software: you can redistribute it and/or modify
16 | # it under the terms of the GNU General Public License as published by
17 | # the Free Software Foundation, either version 3 of the License, or
18 | # (at your option) any later version.
19 | #
20 | # GWpy is distributed in the hope that it will be useful,
21 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
22 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
23 | # GNU General Public License for more details.
24 | #
25 | # You should have received a copy of the GNU General Public License
26 | # along with GWpy. If not, see .
27 |
28 |
29 | import numpy as np
30 | import CommonFunctions as Cf
31 | import cv2
32 | from enum import Enum
33 | import enum
34 | from numba import jit
35 |
36 | """
37 | ********************************************************************************************************
38 | **-------------------------------------------------------------------------------------------------------
39 | ** Compiler : python 3.6
40 | ** Module Name: CamDown
41 | ** Module Date: 2019/11/21
42 | ** Module Auth: xiaobo
43 | ** Version : V0.1
44 | ** Description: a virtual camera looking down
45 | **-------------------------------------------------------------------------------------------------------
46 | ** Reversion :
47 | ** Modified By:
48 | ** Date :
49 | ** Content :
50 | ** Notes :
51 | ********************************************************************************************************/
52 | """
53 |
54 |
55 | class CamDownPara(Enum):
56 | Render_Mode_Mem = enum.auto()
57 | Render_Mode_Cpu = enum.auto()
58 | Render_Mode_Gpu = enum.auto()
59 |
60 |
61 | class CamDown(object):
62 | def __init__(self, img_horizon=400, img_vertical=400, img_depth=3,
63 | sensor_horizon=4., sensor_vertical=4., cam_focal=2.36,
64 | ground_img_path='./Data/groundImgWood.jpg',
65 | small_ground_img_path='./Data/groundImgSmall.jpg',
66 | small_land_img_path='./Data/landingMark.jpg',
67 | render_mode=CamDownPara.Render_Mode_Mem):
68 | """
69 | ****************** horizon ****************
70 | *
71 | v
72 | e
73 | r
74 | t
75 | i
76 | c
77 | a
78 | l
79 | ********************************************
80 | :param img_horizon: the num of vertical pixes of the image which is generated by sensor
81 | :param img_vertical: the num of horizon pixes of the image which is generated by sensor
82 | :param img_depth: the num of chanel the image, i.e. rgb is 3
83 | :param sensor_horizon: mm, the height of the active area of the sensor
84 | :param sensor_vertical: mm, the width of the active area of the sensor
85 | :param cam_focal: mm, the focal of the lens of the camera
86 | """
87 | self.imgHorizon = img_horizon
88 | self.imgVertical = img_vertical
89 | self.imgDepth = img_depth
90 | self.skx = sensor_horizon * 1. / img_horizon # skx is sensor_k_x
91 | self.sky = sensor_vertical * 1. / img_vertical # skx is sensor_k_y
92 | self.sx0 = sensor_horizon * 0.5
93 | self.sy0 = sensor_vertical * 0.5
94 | self.camFocal = cam_focal
95 | self.axCamImgArr = np.zeros([self.imgVertical * self.imgHorizon, 3])
96 | self.pixCamImg = np.zeros([self.imgVertical, self.imgHorizon, self.imgDepth], dtype=np.uint8)
97 | self.groundImgPath = ground_img_path
98 | self.groundImg = None
99 |
100 | # small image
101 | self.smallGroundImgPath = small_ground_img_path
102 | self.smallLandingImgPath = small_land_img_path
103 | self.smallGroundImg = None
104 | self.smallLandingImg = None
105 | self.smallImgHorizon = 7854
106 | self.smallImgVertical = 3490
107 | self.smallLandingImgHos = 315
108 | self.smallLandingImgVet = 315
109 | self.renderMode = render_mode
110 |
111 | # init the array
112 | for ii in range(self.imgVertical):
113 | for j in range(self.imgHorizon):
114 | self.axCamImgArr[ii * self.imgHorizon + j, :] = [ii, j, 1]
115 |
116 | def load_ground_img(self):
117 | if self.renderMode == CamDownPara.Render_Mode_Mem:
118 | if self.groundImg is not None:
119 | del self.groundImg
120 | else:
121 | self.groundImg = cv2.imread(self.groundImgPath)
122 | elif self.renderMode == CamDownPara.Render_Mode_Cpu:
123 | if self.smallGroundImg is not None:
124 | del self.smallGroundImg
125 | else:
126 | self.smallGroundImg = cv2.imread(self.smallGroundImgPath)
127 | # if read success, get size of image
128 | if self.smallGroundImg is not None:
129 | self.smallImgVertical, self.smallImgHorizon = self.smallGroundImg.shape
130 | elif self.renderMode == CamDownPara.Render_Mode_Gpu:
131 | if self.smallGroundImg is not None:
132 | del self.smallGroundImg
133 | else:
134 | self.smallGroundImg = cv2.imread(self.smallGroundImgPath)
135 | self.smallLandingImg = cv2.imread(self.smallLandingImgPath)
136 | # if read success, get size of image
137 | if self.smallGroundImg is not None:
138 | self.smallImgVertical, self.smallImgHorizon, _ = self.smallGroundImg.shape
139 | if self.smallLandingImg is not None:
140 | self.smallLandingImgVet, self.smallLandingImgHos, _ = self.smallLandingImg.shape
141 |
142 | def get_img_by_state(self, pos, att):
143 | m_img2sensor = np.array([[self.skx, 0, self.sx0],
144 | [0, -self.sky, -self.sy0],
145 | [0, 0, 1]])
146 | m_sensor2cam = np.array([[pos[2] / self.camFocal, 0, self.imgVertical / 2],
147 | [0, pos[2] / self.camFocal, -self.imgHorizon / 2],
148 | [0, 0, 1]])
149 | m_cam2world = Cf.get_rotation_matrix(att)
150 | m_cam2world[0:2, 2] = pos[0:2]
151 | m_cam2world[2, :] = np.array([0, 0, 1])
152 | m_trans = m_cam2world.dot(m_sensor2cam.dot(m_img2sensor))
153 | if self.renderMode == CamDownPara.Render_Mode_Mem:
154 | ax_real = m_trans.dot(self.axCamImgArr.transpose()).transpose()
155 | for ii in range(self.imgVertical):
156 | for j in range(self.imgHorizon):
157 | self.pixCamImg[ii, j, :] = self.groundImg[int(ax_real[ii * self.imgHorizon + j, 0]),
158 | int(ax_real[ii * self.imgHorizon + j, 1] + 10000), :]
159 | elif self.renderMode == CamDownPara.Render_Mode_Cpu:
160 | ax_real = m_trans.dot(self.axCamImgArr.transpose()).transpose()
161 | for ii in range(self.imgVertical):
162 | for j in range(self.imgHorizon):
163 | ax_vertical = int(ax_real[ii * self.imgHorizon + j, 0]) % self.smallImgVertical
164 | ax_horizon = int(ax_real[ii * self.imgHorizon + j, 1] + 10000) % self.smallImgHorizon
165 | self.pixCamImg[ii, j, :] = self.smallGroundImg[ax_vertical, ax_horizon, :]
166 |
167 | elif self.renderMode == CamDownPara.Render_Mode_Gpu:
168 | ax_real = m_trans.dot(self.axCamImgArr.transpose()).transpose()
169 | accelerate_img_mapping_gpu(ax_real, self.smallGroundImg, self.smallLandingImg, self.pixCamImg,
170 | self.imgVertical, self.imgHorizon, self.smallImgHorizon, self.smallImgVertical,
171 | self.smallLandingImgHos, self.smallLandingImgVet)
172 | return self.pixCamImg
173 |
174 |
175 | @jit(nopython=True)
176 | def accelerate_img_mapping_gpu(m_ax_real, m_img_small, m_img_landing, m_img_result,
177 | img_vertical, img_horizon, small_horizon, small_vertical, land_horizon, land_vertical):
178 | """
179 | # 用来加速映射计算的函数
180 | :param m_ax_real: 映射后的座标
181 | :param m_img_small: 贴图,小图片
182 | :param m_img_result: 目标图像
183 | :param m_img_landing
184 | :param img_vertical: 目标图像高度
185 | :param img_horizon: 目标图像宽度
186 | :param small_horizon: 贴图宽度
187 | :param small_vertical: 贴图高度
188 | :param land_horizon:
189 | :param land_vertical
190 | :return:
191 | """
192 | land_hos_max = 5000 + land_horizon
193 | land_vet_min = 5000 - land_vertical
194 | for ii in range(img_vertical):
195 | for j in range(img_horizon):
196 | ax_vertical = int(m_ax_real[ii * img_horizon + j, 0])
197 | ax_horizon = int(m_ax_real[ii * img_horizon + j, 1] + 10000)
198 | if (ax_horizon > 5000) and (ax_horizon < land_hos_max) and (ax_vertical > land_vet_min) \
199 | and (ax_vertical < 5000):
200 | ax_horizon = ax_horizon - 5000
201 | ax_vertical = ax_vertical - land_vet_min
202 | m_img_result[ii, j, :] = m_img_landing[ax_vertical, ax_horizon, :]
203 | else:
204 | ax_vertical = ax_vertical % small_vertical
205 | ax_horizon = ax_horizon % small_horizon
206 | m_img_result[ii, j, :] = m_img_small[ax_vertical, ax_horizon, :]
207 | return m_img_result
208 |
209 |
210 | if __name__ == '__main__':
211 | " used for testing this module"
212 | testFlag = 3
213 |
214 | if testFlag == 1:
215 | cam1 = CamDown()
216 | print('init completed!')
217 | cam1.load_ground_img()
218 | print('Load img completed!')
219 | pos_0 = np.array([4251.97508977, -5843.00458236, 227.35483937])
220 | att_0 = np.array([-0.13647458, -0.1990263, 0.27836947])
221 | img1 = cam1.get_img_by_state(pos_0, att_0)
222 | import matplotlib.pyplot as plt
223 | plt.imshow(cam1.pixCamImg / 255)
224 | cv2.imwrite('Data/test.jpg', img1)
225 |
226 | elif testFlag == 2:
227 | import matplotlib.pyplot as plt
228 | # import matplotlib as mpl
229 | from QuadrotorFlyModel import QuadModel, QuadSimOpt, QuadParas, StructureType, SimInitType
230 | import MemoryStore
231 | D2R = np.pi / 180
232 |
233 | print("PID controller test: ")
234 | uavPara = QuadParas(structure_type=StructureType.quad_x)
235 | simPara = QuadSimOpt(init_mode=SimInitType.fixed, enable_sensor_sys=False,
236 | init_att=np.array([10., -10., 30]), init_pos=np.array([5, -5, 0]))
237 | quad1 = QuadModel(uavPara, simPara)
238 | record = MemoryStore.DataRecord()
239 | record.clear()
240 | step_cnt = 0
241 |
242 | # init the camera
243 | cam1 = CamDown()
244 | cam1.load_ground_img()
245 | print('Load img completed!')
246 | fourcc = cv2.VideoWriter_fourcc(*'MJPG')
247 | out1 = cv2.VideoWriter('Data/img/test.avi', fourcc, 1 / quad1.uavPara.ts, (cam1.imgVertical, cam1.imgHorizon))
248 | for i in range(1000):
249 | ref = np.array([0., 0., 1., 0.])
250 | stateTemp = quad1.observe()
251 | # get image
252 | pos_0 = quad1.position * 1000
253 | att_0 = quad1.attitude
254 | img1 = cam1.get_img_by_state(pos_0, att_0)
255 | # file_name = 'Data/img/test_' + str(i) + '.jpg'
256 | # cv2.imwrite(file_name, img1)
257 | out1.write(img1)
258 |
259 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
260 | print('action: ', action2)
261 | action2 = np.clip(action2, 0.1, 0.9)
262 | quad1.step(action2)
263 | record.buffer_append((stateTemp, action2))
264 | step_cnt = step_cnt + 1
265 | record.episode_append()
266 | out1.release()
267 |
268 | print('Quadrotor structure type', quad1.uavPara.structureType)
269 | # quad1.reset_states()
270 | print('Quadrotor get reward:', quad1.get_reward())
271 | data = record.get_episode_buffer()
272 | bs = data[0]
273 | ba = data[1]
274 | t = range(0, record.count)
275 | # mpl.style.use('seaborn')
276 | fig1 = plt.figure(1)
277 | plt.clf()
278 | plt.subplot(3, 1, 1)
279 | plt.plot(t, bs[t, 6] / D2R, label='roll')
280 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
281 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
282 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
283 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
284 | plt.subplot(3, 1, 2)
285 | plt.plot(t, bs[t, 0], label='x')
286 | plt.plot(t, bs[t, 1], label='y')
287 | plt.ylabel('Position (m)', fontsize=15)
288 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
289 | plt.subplot(3, 1, 3)
290 | plt.plot(t, bs[t, 2], label='z')
291 | plt.ylabel('Altitude (m)', fontsize=15)
292 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
293 | plt.show()
294 | # performance test
295 | elif testFlag == 3:
296 | import matplotlib.pyplot as plt
297 | # import matplotlib as mpl
298 | from QuadrotorFlyModel import QuadModel, QuadSimOpt, QuadParas, StructureType, SimInitType
299 | import MemoryStore
300 | import time
301 | D2R = np.pi / 180
302 | video_write_flag = True
303 |
304 | print("PID controller test: ")
305 | uavPara = QuadParas(structure_type=StructureType.quad_x)
306 | simPara = QuadSimOpt(init_mode=SimInitType.fixed, enable_sensor_sys=False,
307 | init_att=np.array([0., 0., 0]), init_pos=np.array([0, -0, 0]))
308 | quad1 = QuadModel(uavPara, simPara)
309 | record = MemoryStore.DataRecord()
310 | record.clear()
311 | step_cnt = 0
312 |
313 | # init the camera
314 | cam1 = CamDown(render_mode=CamDownPara.Render_Mode_Gpu)
315 | cam1.load_ground_img()
316 | print('Load img completed!')
317 | if video_write_flag:
318 | v_format = cv2.VideoWriter_fourcc(*'MJPG')
319 | out1 = cv2.VideoWriter('Data/img/test.avi', v_format, 1 / quad1.uavPara.ts, (cam1.imgVertical, cam1.imgHorizon))
320 | for i in range(1000):
321 | if i == 0:
322 | time_start = time.time()
323 | ref = np.array([0., 0., 3., 0.])
324 | stateTemp = quad1.observe()
325 | # get image
326 | pos_0 = quad1.position * 1000
327 | att_0 = quad1.attitude
328 | img1 = cam1.get_img_by_state(pos_0, att_0)
329 | # file_name = 'Data/img/test_' + str(i) + '.jpg'
330 | # cv2.imwrite(file_name, img1)
331 | if video_write_flag:
332 | out1.write(img1)
333 |
334 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
335 | print('action: ', action2)
336 | action2 = np.clip(action2, 0.1, 0.9)
337 | quad1.step(action2)
338 | record.buffer_append((stateTemp, action2))
339 | step_cnt = step_cnt + 1
340 | time_end = time.time()
341 | print('time cost:', str(time_end - time_start))
342 | record.episode_append()
343 | if video_write_flag:
344 | out1.release()
345 |
346 | print('Quadrotor structure type', quad1.uavPara.structureType)
347 | # quad1.reset_states()
348 | print('Quadrotor get reward:', quad1.get_reward())
349 | data = record.get_episode_buffer()
350 | bs = data[0]
351 | ba = data[1]
352 | t = range(0, record.count)
353 | # mpl.style.use('seaborn')
354 | fig1 = plt.figure(1)
355 | plt.clf()
356 | plt.subplot(3, 1, 1)
357 | plt.plot(t, bs[t, 6] / D2R, label='roll')
358 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
359 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
360 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
361 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
362 | plt.subplot(3, 1, 2)
363 | plt.plot(t, bs[t, 0], label='x')
364 | plt.plot(t, bs[t, 1], label='y')
365 | plt.ylabel('Position (m)', fontsize=15)
366 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
367 | plt.subplot(3, 1, 3)
368 | plt.plot(t, bs[t, 2], label='z')
369 | plt.ylabel('Altitude (m)', fontsize=15)
370 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
371 | plt.show()
372 |
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/CommonFunctions.py:
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1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """This file implement many common methods and constant
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 五月 05 11:03 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import warnings
30 |
31 | """
32 | ********************************************************************************************************
33 | **-------------------------------------------------------------------------------------------------------
34 | ** Compiler : python 3.6
35 | ** Module Name: CommonFunctions
36 | ** Module Date: 2019/5/5
37 | ** Module Auth: xiaobo
38 | ** Version : V0.1
39 | ** Description: create the file
40 | **-------------------------------------------------------------------------------------------------------
41 | ** Reversion :
42 | ** Modified By:
43 | ** Date :
44 | ** Content :
45 | ** Notes :
46 | ********************************************************************************************************/
47 | """
48 |
49 |
50 | D2R = np.pi / 180
51 |
52 |
53 | class QuadrotorFlyError(Exception):
54 | """General exception of QuadrotorFly"""
55 | def __init__(self, error_info):
56 | super().__init__(self)
57 | self.errorInfo = error_info
58 | warnings.warn("QuadrotorFly Error:" + self.errorInfo, DeprecationWarning)
59 |
60 | def __str__(self):
61 | return "QuadrotorFly Error:" + self.errorInfo
62 |
63 |
64 | def get_rotation_matrix(att):
65 | cos_att = np.cos(att)
66 | sin_att = np.sin(att)
67 |
68 | rotation_x = np.array([[1, 0, 0], [0, cos_att[0], -sin_att[0]], [0, sin_att[0], cos_att[0]]])
69 | rotation_y = np.array([[cos_att[1], 0, sin_att[1]], [0, 1, 0], [-sin_att[1], 0, cos_att[1]]])
70 | rotation_z = np.array([[cos_att[2], -sin_att[2], 0], [sin_att[2], cos_att[2], 0], [0, 0, 1]])
71 | rotation_matrix = np.dot(rotation_z, np.dot(rotation_y, rotation_x))
72 |
73 | return rotation_matrix
74 |
75 |
76 | def get_rotation_inv_matrix(att):
77 | att = -att
78 | cos_att = np.cos(att)
79 | sin_att = np.sin(att)
80 |
81 | rotation_x = np.array([[1, 0, 0], [0, cos_att[0], -sin_att[0]], [0, sin_att[0], cos_att[0]]])
82 | rotation_y = np.array([[cos_att[1], 0, sin_att[1]], [0, 1, 0], [-sin_att[1], 0, cos_att[1]]])
83 | rotation_z = np.array([[cos_att[2], -sin_att[2], 0], [sin_att[2], cos_att[2], 0], [0, 0, 1]])
84 | rotation_matrix = np.dot(rotation_x, np.dot(rotation_y, rotation_z))
85 |
86 | return rotation_matrix
87 |
88 |
89 | if __name__ == '__main__':
90 | try:
91 | raise QuadrotorFlyError('Quadrotor Exception Test')
92 | except QuadrotorFlyError as e:
93 | print(e)
94 |
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1 | # v0.2 更新的内容
2 | 1. 加入了传感器子系统(默认不使能),包含IMU(陀螺仪+加速度计),GPS,compass(磁力计),
3 | 1. 加入了一个简单的卡尔曼滤波估计器。
4 | 1. 加入了时间系统,即无人机有一个自己的内部时间,每次迭代会累计采样周期,reset回导致时间归零。
5 | 2. 参考例子在StateEstimator.py和Test_fullWithSensor.py
6 | 3. 可以通过继承SensorBase来完成自定义传感器, 通过继承StateEstimatorBase来实现自定义的位姿估计器
7 |
8 | 每个传感器考虑不同的特性,主要内容如下:
9 | * IMU考虑噪声和零飘,100Hz的更新频率(与系统默认相同)
10 | * GPS考虑低采样率(10Hz)、噪声、启动延时(1s)和时延(100ms,即latency)
11 | * 磁力计考虑噪声和偏置,坐标系假设为东北天
12 |
13 | # 使能传感器系统后的注意事项
14 | 下面假设quad1是QuadrotorFlyModel类的一个实例,并且这个类在实例化时使能了传感器系统,即
15 | ```python
16 | q1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(enable_sensor_sys=True))
17 | ```
18 |
19 | ## 及时获取时间戳
20 | 不同的传感器采样时刻和启动的时长是不一样的,因此需要启动时要注意延时一定的时间。
21 | 使用quad1.ts来获取当前时间戳
22 |
23 | ## 模型调用接口的返回值发生变化
24 | 使能传感器系统后,quad1.step函数和observe函数返回的是传感器信息,传感器信息采用字典类型(dict)储存,格式如下:
25 |
26 | ```python
27 | print(quad1.observe())
28 | {'imu': (True, array([ 5.78443156e-02, -3.81653176e-01, -9.50556019e+00, 1.75481697e-03,
29 | -2.82903321e-02, 6.36374403e-02])),
30 | 'gps': (False, array([ 1.00240709, -0.24003651, 0.64546363])),
31 | 'compass': (True, array([ 7.89924613, 32.83536768, -93.90494583]))}
32 | ```
33 |
34 | 其中,字典的键名是传感器的名称(imu, gps, compass),值的第一个参数是传感器这一刻是否更新(True代表更新,False反之),第二个值是传感器数据,定义分别如下:
35 |
36 | | 名称|imu|gps|compass|
37 | | --------- | -------- | -----: | --: |
38 | |参数1-3|加速度(m/(s^2))|位置(m)|磁场强度(T) |
39 | |参数4-6| 角速度(rad/s)|x|x|
40 |
41 | 注意,这些传感器的值是带有噪声和零飘的,并且零飘是传感器初始化的时候随机的, 可以通过quad1.imu0.gyroBias和quad1.imu0.accBias获取imu的零飘。假设磁力计的北边和正北大概差16度。
42 |
43 | ## 真实状态和估计状态存在差异
44 | 控制的目的是稳定系统的真实状态,但是只能观测到传感器返回的信息,通过估计器(观测器、滤波器之类的名称)解算得到系统状态与真实的状态会有一定的差异(受估计器性能影响)。但是可以通过quad1.state(这是一个属性化的函数)获得无人机的真实状态,保存数据的时候注意两组数据都需要保存,方便对比。
45 |
46 | # 带传感器的完整实验
47 | ```python
48 | # 弧度到角度的转换参数
49 | D2R = Qfm.D2R
50 | # 仿真参数设置
51 | simPara = Qfm.QuadSimOpt(
52 | # 初值重置方式(随机或者固定);姿态初值参数(随机就是上限,固定就是设定值);位置初值参数(同上)
53 | init_mode=Qfm.SimInitType.rand, init_att=np.array([5., 5., 5.]), init_pos=np.array([1., 1., 1.]),
54 | # 仿真运行的最大位置,最大速度,最大姿态角(角度,不是弧度注意),最大角速度(角度每秒)
55 | max_position=8, max_velocity=8, max_attitude=180, max_angular=200,
56 | # 系统噪声,分别在位置环和速度环
57 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
58 | #执行器模式,简单模式没有电机动力学,
59 | actuator_mode=Qfm.ActuatorMode.dynamic
60 | )
61 | # 无人机参数设置,可以为不同的无人机设置不同的参数
62 | uavPara = Qfm.QuadParas(
63 | # 重力加速度;采样时间;机型plus或者x
64 | g=9.8, tim_sample=0.01, structure_type=Qfm.StructureType.quad_plus,
65 | # 无人机臂长(米);质量(千克);飞机绕三个轴的转动惯量(千克·平方米)
66 | uav_l=0.45, uav_m=1.5, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
67 | # 螺旋桨推力系数(牛每平方(弧度每秒)),螺旋桨扭力系数(牛·米每平方(弧度每秒)),旋翼转动惯量,
68 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_i=9.9e-5,
69 | # 电机转速比例参数(度每秒),电机转速偏置参数(度每秒),电机相应时间(秒)
70 | rotor_cr=646, rotor_wb=166, rotor_t=1.36e-2
71 | )
72 |
73 | # 使用参数新建无人机
74 | quad1 = Qfm.QuadModel(uavPara, simPara)
75 | # 新建卡尔曼滤波器(已实现的,作为参考)
76 | filter1 = StateEstimator.KalmanFilterSimple()
77 | # 新建GUI
78 | gui = Qfg.QuadrotorFlyGui([quad1])
79 | # 新建存储对象,用于储存过程数据
80 | record = MemoryStore.DataRecord()
81 |
82 | # 复位
83 | quad1.reset_states()
84 | record.clear()
85 | filter1.reset(quad1.state)
86 |
87 | # 设置imu零飘,这个实际是拿不到的,这里简化了
88 | filter1.gyroBias = quad1.imu0.gyroBias
89 | filter1.accBias = quad1.imu0.accBias
90 | print(filter1.gyroBias, filter1.accBias)
91 |
92 | # 设置仿真时间
93 | t = np.arange(0, 30, 0.01)
94 | ii_len = len(t)
95 |
96 | # 仿真过程
97 | for ii in range(ii_len):
98 | # 等待传感器启动
99 | if ii < 100:
100 | # 获取传感器数据
101 | sensor_data1 = quad1.observe()
102 | # 在传感器启动前使用系统状态直接获取控制器值
103 | _, oil = quad1.get_controller_pid(quad1.state)
104 | # 其实只需要油门维持稳定
105 | action = np.ones(4) * oil
106 | # 执行一步
107 | quad1.step(action)
108 | # 把获取到的传感器数据给估计器
109 | state_est = filter1.update(sensor_data1, quad1.ts)
110 | # 储存数据
111 | record.buffer_append((quad1.state, state_est))
112 | else:
113 | # 获取传感器数据
114 | sensor_data1 = quad1.observe()
115 | # 使用估计器估计的状态来计算控制量而非真实的状态
116 | action, oil = quad1.get_controller_pid(filter1.state, np.array([0, 0, 2, 0]))
117 | # 执行一步
118 | quad1.step(action)
119 | # 把获取到的传感器数据给估计器
120 | state_est = filter1.update(sensor_data1, quad1.ts)
121 | # 储存数据
122 | record.buffer_append((quad1.state, state_est))
123 | # 这个不能省去
124 | record.episode_append()
125 |
126 | # 输出结果
127 | # 1. 获取最新的数据
128 | data = record.get_episode_buffer()
129 | # 1.1 真实的状态
130 | bs_r = data[0]
131 | # 1.2 估计的状态
132 | bs_e = data[1]
133 | # 2. 产生时间序列
134 | t = range(0, record.count)
135 | # 3. 画图
136 | # 3.1 画姿态和角速度
137 | fig1 = plt.figure(2)
138 | yLabelList = ['roll', 'pitch', 'yaw', 'rate_roll', 'rate_pit', 'rate_yaw']
139 | for ii in range(6):
140 | plt.subplot(6, 1, ii + 1)
141 | plt.plot(t, bs_r[:, 6 + ii] / D2R, '-b', label='real')
142 | plt.plot(t, bs_e[:, 6 + ii] / D2R, '-g', label='est')
143 | plt.legend()
144 | plt.ylabel(yLabelList[ii])
145 |
146 | # 3.2 画位置和速度
147 | yLabelList = ['p_x', 'p_y', 'p_z', 'vel_x', 'vel_y', 'vel_z']
148 | plt.figure(3)
149 | for ii in range(6):
150 | plt.subplot(6, 1, ii + 1)
151 | plt.plot(t, bs_r[:, ii], '-b', label='real')
152 | plt.plot(t, bs_e[:, ii], '-g', label='est')
153 | plt.legend()
154 | plt.ylabel(yLabelList[ii])
155 | plt.show()
156 | print("Simulation finish!")
157 | ```
158 |
159 | 结果
160 | 1. 从3d的效果图可以看出有一点抖动
161 | 
162 |
163 | 2. 位置的真实和估计
164 | 
165 |
166 | 3. 姿态的真实和估计
167 | 
168 |
169 | # 基本原理
170 | ## 传感器仿真的原理
171 | ### IMU考虑噪声和零飘,100Hz的更新频率(与系统默认相同)
172 |
173 | 陀螺仪参考的参数来自传感器MPU6500
174 |
175 | 
176 |
177 |
178 | 其中下标带o的是传感器的输出,$\omega$是真实的角速度,$a_F$是真实的合外力造成的加速度,g是重力加速度,$R_{i2b}$是惯性系到机体系的转换矩阵, $b_g$和$b_a$分别是陀螺仪和加速度计的零飘,$w_g$和$w_a$分别是陀螺仪和加速度计的噪声,这里假设成白噪声。
179 |
180 | ### GPS考虑低采样率、噪声、启动延时和时延
181 | GPS默认的参数来自M8N,采样率为10H、精度为1米、启动延时为1s,时延(即latency)是100ms。时延和启动延时是不一样的,时延指由于采样过程或者传输过程导致采集的数据表征的是之前时刻的状态,启动延时就是启动的前1秒内没有响应,之后就有响应。
182 |
183 | 
184 |
185 | 其中t代表连续的时间,$t_k$是采样的序列,$T_s$和$T_l$分别代表启动延时和时延,$w_p$是传感器噪声。
186 |
187 | ### 磁力计主要考虑低采样率
188 | 与imu类似,采样率只有imu的1/10,假设的惯性坐标系为东北天。
189 |
190 |
191 |
192 | ## 最简卡尔曼滤波器的原理
193 | 懒,下次再说吧,详细见代码。简单的说就是首先判断各个传感器是否更新,更新的话就运行相应的更新程序。在姿态估计上,陀螺仪当作过程更新,加速度计(就是测重力方向)和磁力计当作测量更新;在位置估计上,加速度计做过程更新,gps做测量更新。
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--------------------------------------------------------------------------------
/MemoryStore.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """The file used to implement the data store and replay
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on Wed Jan 17 10:40:44 2018
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | from collections import deque
29 | import random
30 | import numpy as np
31 |
32 | """
33 | ********************************************************************************************************
34 | **-------------------------------------------------------------------------------------------------------
35 | ** Compiler : python 3.6
36 | ** Module Name: MemoryStore
37 | ** Module Date: 2018-04-17
38 | ** Module Auth: xiaobo
39 | ** Version : V0.1
40 | ** Description: create the module
41 | **-------------------------------------------------------------------------------------------------------
42 | ** Reversion : V0.2
43 | ** Modified By: xiaobo
44 | ** Date : 2019-4-25
45 | ** Content : rewrite the module, add note
46 | ** Notes :
47 | ********************************************************************************************************/
48 | **-------------------------------------------------------------------------------------------------------
49 | ** Reversion : V0.3
50 | ** Modified By: xiaobo
51 | ** Date : 2019-5-20
52 | ** Content : modify the data record, compatible wit v0.2, store data each episode independently
53 | ** Notes :
54 | ********************************************************************************************************/
55 | """
56 |
57 |
58 | class ReplayBuffer(object):
59 | """ storing data in order replaying for train algorithm"""
60 |
61 | def __init__(self, buffer_size, random_seed=123):
62 | # size of minimize buffer is able to train
63 | self.buffer_size = buffer_size
64 | # counter for replay buffer
65 | self.count = 0
66 | # buffer, contain all data together
67 | self.buffer = deque()
68 | # used for random sampling
69 | random.seed(random_seed)
70 | # when count rise over the buffer_size, the train can begin
71 | self.isBufferFull = False
72 | # counter for episode
73 | self.episodeNum = 0
74 | # record the start position of each episode in buffer
75 | self.episodePos = deque()
76 | # record the sum rewards of steps for each episode
77 | self.episodeRewards = deque()
78 |
79 | def buffer_append(self, experience):
80 | """append data to buffer, should run each step after system update"""
81 | if self.count < self.buffer_size:
82 | self.buffer.append(experience)
83 | self.count += 1
84 | self.isBufferFull = False
85 | else:
86 | self.buffer.popleft()
87 | self.buffer.append(experience)
88 | self.isBufferFull = True
89 |
90 | def episode_append(self, rewards):
91 | self.episodeNum += 1
92 | self.episodePos.append(self.count)
93 | self.episodeRewards.append(rewards)
94 |
95 | def size(self):
96 | return self.count
97 |
98 | def buffer_sample_batch(self, batch_size):
99 | """sample a batch of data with size of batch_size"""
100 | if self.count < batch_size:
101 | batch = random.sample(self.buffer, self.count)
102 | else:
103 | batch = random.sample(self.buffer, batch_size)
104 |
105 | return batch
106 |
107 | def clear(self):
108 | self.buffer.clear()
109 | self.count = 0
110 | self.episodeNum = 0
111 | self.episodePos.clear()
112 | self.episodeRewards.clear()
113 |
114 |
115 | class DataRecord(object):
116 | """data record for show result"""
117 | def __init__(self, compatibility_mode=False):
118 | # new buffer, store data sepeartely with different episode, new in 0.3
119 | self.episodeList = list()
120 | self.bufferTemp = deque()
121 | self.compatibilityMode = compatibility_mode
122 |
123 | # counter for replay buffer
124 | self.count = 0
125 |
126 | # counter for episode
127 | self.episodeNum = 0
128 |
129 | # record the sum rewards of steps for each episode
130 | self.episodeRewards = deque()
131 | # record the average td error of steps for each episode
132 | self.episodeTdErr = deque()
133 | # record some sample of weights, once after episode
134 | self.episodeWeights = deque()
135 | # record some sample of weights, once each step, for observing the vary of weights
136 | self.weights = deque()
137 |
138 | if self.compatibilityMode:
139 | # buffer, contain all data together, discarded in 0.3
140 | self.buffer = deque()
141 | # record the start position of each episode in buffer, discarded in 0.3
142 | self.episodePos = deque()
143 |
144 | def buffer_append(self, experience, weights=0):
145 | """append data to buffer, should run each step after system update"""
146 | self.bufferTemp.append(experience)
147 | self.count += 1
148 | self.weights.append(weights)
149 |
150 | if self.compatibilityMode:
151 | self.buffer.append(experience)
152 |
153 | # if self.count < self.buffer_size:
154 | # self.buffer.append(experience)
155 | # self.count += 1
156 | # self.isBufferFull = False
157 | # else:
158 | # self.buffer.popleft()
159 | # self.buffer.append(experience)
160 |
161 | def episode_append(self, rewards=0, td_err=0, weights=0):
162 | """append data to episode buffer, should run each episode after episode finish"""
163 | self.episodeNum += 1
164 | self.episodeRewards.append(rewards)
165 | self.episodeTdErr.append(td_err)
166 | self.episodeWeights.append(weights)
167 |
168 | self.episodeList.append(self.bufferTemp)
169 | self.bufferTemp = deque()
170 | if self.compatibilityMode:
171 | self.episodePos.append(self.count)
172 |
173 | def get_episode_buffer(self, index=-1):
174 | if index == -1:
175 | index = self.episodeNum - 1
176 | elif index > (self.episodeNum - 1):
177 | self.print_mess("Does not exist this episode!")
178 | else:
179 | index = index
180 | return
181 |
182 | buffer_temp = self.episodeList[index]
183 | data = list()
184 | item_len = len(buffer_temp[0])
185 | for ii in range(item_len):
186 | x = np.array([_[ii] for _ in buffer_temp])
187 | data.append(x)
188 | return data
189 |
190 | def size(self):
191 | return self.count
192 |
193 | def clear(self):
194 | self.count = 0
195 | self.episodeNum = 0
196 | self.episodeRewards.clear()
197 | self.bufferTemp.clear()
198 | self.episodeList.clear()
199 | if self.compatibilityMode:
200 | self.buffer.clear()
201 | self.episodePos.clear()
202 |
203 | @classmethod
204 | def print_mess(cls, mes=""):
205 | # implement with print or warning if the project exist
206 | print(mes)
207 |
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/ModuleTest/dynamic_actuator.m:
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/ModuleTest/dynamic_basic.m:
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/ModuleTest/testResult.m:
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1 | tim_sample = 0.01;
2 | rotor_ct = 1.11e-5;
3 | rotor_cm = 1.49e-7;
4 | rotor_cr=646;
5 | rotor_wb=166;
6 | rotor_i=9.90e-5;
7 | rotor_t=1.36e-2;
8 |
9 | testFlag = 2;
10 |
11 | % acutator
12 | if testFlag == 1
13 | rotorRate = 0;
14 | disp('resutl 1');
15 | for u = 0.2:0.2:0.8
16 | rateDot = 1/rotor_t * (rotor_cr * u + rotor_wb - rotorRate)
17 | end
18 | disp('resutl 2');
19 | for u = 0.2:0.2:0.8
20 | rotorRate = 2000 * u;%400,800....
21 | rateDot = 1/rotor_t * (rotor_cr * u + rotor_wb - rotorRate)
22 | end
23 | disp('resutl 3');
24 | rotorRate = 0;
25 | f = @dynamic_actuator;
26 | for u = 0.2:0.2:0.8
27 | rotorRate = 0;
28 | rotorRate = rk4(f, rotorRate, u, tim_sample)
29 | end
30 | end
31 |
32 | if testFlag == 2
33 | stateTemp = [1., 2., 3., 0.2, 0.3, 0.4, 0.3, 0.4, 0.5, 0.4, 0.5, 0.6];
34 | u = [100, 20, 20, 20];
35 | disp('resutl1');
36 | result1 = dynamic_basic(stateTemp, u)
37 | disp('result2');
38 | f2 = @dynamic_basic;
39 | result2 = rk4(f2, stateTemp, u, tim_sample)
40 | end
41 |
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/Paper/NEO-M8-FW3_DataSheet_(UBX-15031086).pdf:
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/QuadrotorFlyGui.py:
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1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """This file implement the GUI for QuadrotorFly
4 | This module refer the 'quadcopter simulator' by abhijitmajumdar
5 |
6 | By xiaobo
7 | Contact linxiaobo110@gmail.com
8 | Created on Apr 29 20:53 2019
9 | """
10 |
11 | # Copyright (C)
12 | #
13 | # This file is part of QuadrotorFly
14 | #
15 | # GWpy is free software: you can redistribute it and/or modify
16 | # it under the terms of the GNU General Public License as published by
17 | # the Free Software Foundation, either version 3 of the License, or
18 | # (at your option) any later version.
19 | #
20 | # GWpy is distributed in the hope that it will be useful,
21 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
22 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
23 | # GNU General Public License for more details.
24 | #
25 | # You should have received a copy of the GNU General Public License
26 | # along with GWpy. If not, see .
27 |
28 |
29 | import numpy as np
30 | import QuadrotorFlyModel as Qfm
31 | import matplotlib.pyplot as plt
32 | import mpl_toolkits.mplot3d.axes3d as axes3d
33 | import CommonFunctions as Cf
34 |
35 | """
36 | ********************************************************************************************************
37 | **-------------------------------------------------------------------------------------------------------
38 | ** Compiler : python 3.6
39 | ** Module Name: QuadrotorFlyGui
40 | ** Module Date: 2019/4/29
41 | ** Module Auth: xiaobo
42 | ** Version : V0.1
43 | ** Description:
44 | **-------------------------------------------------------------------------------------------------------
45 | ** Reversion :
46 | ** Modified By:
47 | ** Date :
48 | ** Content :
49 | ** Notes :
50 | ********************************************************************************************************/
51 | """
52 |
53 |
54 | class QuadrotorFlyGuiEnv(object):
55 | def __init__(self, bound_x=3., bound_y=3., bound_z=5.):
56 | """Define the environment of quadrotor simulation
57 | :param bound_x:
58 | :param bound_y:
59 | :param bound_z:
60 | """
61 | self.fig = plt.figure()
62 | self.boundX = bound_x * 1.
63 | self.boundY = bound_y * 1.
64 | self.boundZ = bound_z * 1.
65 | self.ax = axes3d.Axes3D(self.fig)
66 | self.ax.set_xlim3d([-self.boundX, self.boundX])
67 | self.ax.set_ylim3d([-self.boundY, self.boundY])
68 | self.ax.set_zlim3d([0, self.boundZ])
69 | self.ax.set_xlabel('X')
70 | self.ax.set_ylabel('Y')
71 | self.ax.set_zlabel('Z')
72 | self.ax.set_title('QuadrotorFly Simulation')
73 |
74 |
75 | # def get_rotation_matrix(att):
76 | # cos_att = np.cos(att)
77 | # sin_att = np.sin(att)
78 | #
79 | # rotation_x = np.array([[1, 0, 0], [0, cos_att[0], -sin_att[0]], [0, sin_att[0], cos_att[0]]])
80 | # rotation_y = np.array([[cos_att[1], 0, sin_att[1]], [0, 1, 0], [-sin_att[1], 0, cos_att[1]]])
81 | # rotation_z = np.array([[cos_att[2], -sin_att[2], 0], [sin_att[2], cos_att[2], 0], [0, 0, 1]])
82 | # rotation_matrix = np.dot(rotation_z, np.dot(rotation_y, rotation_x))
83 | #
84 | # return rotation_matrix
85 |
86 |
87 | class QuadrotorFlyGuiUav(object):
88 | """Draw quadrotor class"""
89 | def __init__(self, quads: list, ax: axes3d.Axes3D):
90 | self.quads = list()
91 | self.quadGui = list()
92 | self.ax = ax
93 |
94 | # type checking
95 | for quad_temp in quads:
96 | if isinstance(quad_temp, Qfm.QuadModel):
97 | self.quads.append(quad_temp)
98 | else:
99 | raise Cf.QuadrotorFlyError("Not a QuadrotorModel type")
100 |
101 | index = 1
102 | for quad_temp in self.quads:
103 | label = ax.text([], [], [], str(index), fontsize='large')
104 | index += 1
105 | if quad_temp.uavPara.structureType == Qfm.StructureType.quad_plus:
106 | hub, = ax.plot([], [], [], marker='o', color='green', markersize=6, antialiased=False)
107 | bar_x, = ax.plot([], [], [], color='red', linewidth=3, antialiased=False)
108 | bar_y, = ax.plot([], [], [], color='black', linewidth=3, antialiased=False)
109 | self.quadGui.append({'hub': hub, 'barX': bar_x, 'barY': bar_y, 'label': label})
110 | elif quad_temp.uavPara.structureType == Qfm.StructureType.quad_x:
111 | hub, = self.ax.plot([], [], [], marker='o', color='green', markersize=6, antialiased=False)
112 | front_bar1, = self.ax.plot([], [], [], color='red', linewidth=3, antialiased=False)
113 | front_bar2, = self.ax.plot([], [], [], color='red', linewidth=3, antialiased=False)
114 | back_bar1, = self.ax.plot([], [], [], color='black', linewidth=3, antialiased=False)
115 | back_bar2, = self.ax.plot([], [], [], color='black', linewidth=3, antialiased=False)
116 | self.quadGui.append({'hub': hub, 'bar_frontLeft': front_bar1, 'bar_frontRight': front_bar2,
117 | 'bar_rearLeft': back_bar1, 'bar_rearRight': back_bar2, 'label': label})
118 |
119 | def render(self):
120 | counts = len(self.quads)
121 | for ii in range(counts):
122 | quad = self.quads[ii]
123 | quad_gui = self.quadGui[ii]
124 | uav_l = quad.uavPara.uavL
125 | position = quad.position
126 | # move label
127 | quad_gui['label'].set_position((position[0] + uav_l, position[1]))
128 | quad_gui['label'].set_3d_properties(position[2] + uav_l, zdir='x')
129 | # move uav
130 | if quad.uavPara.structureType == Qfm.StructureType.quad_plus:
131 | attitude = quad.attitude
132 | rot_matrix = Cf.get_rotation_matrix(attitude)
133 | points = np.array([[-uav_l, 0, 0], [uav_l, 0, 0], [0, -uav_l, 0], [0, uav_l, 0], [0, 0, 0]]).T
134 | points_rotation = np.dot(rot_matrix, points)
135 | points_rotation[0, :] += position[0]
136 | points_rotation[1, :] += position[1]
137 | points_rotation[2, :] += position[2]
138 | quad_gui['barX'].set_data(points_rotation[0, 0:2], points_rotation[1, 0:2])
139 | quad_gui['barX'].set_3d_properties(points_rotation[2, 0:2])
140 | quad_gui['barY'].set_data(points_rotation[0, 2:4], points_rotation[1, 2:4])
141 | quad_gui['barY'].set_3d_properties(points_rotation[2, 2:4])
142 | quad_gui['hub'].set_data(points_rotation[0, 4], points_rotation[1, 4])
143 | quad_gui['hub'].set_3d_properties(points_rotation[2, 4])
144 | elif quad.uavPara.structureType == Qfm.StructureType.quad_x:
145 | attitude = quad.attitude
146 | rot_matrix = Cf.get_rotation_matrix(attitude)
147 | pos_rotor = uav_l * np.sqrt(0.5)
148 | # this points is the position of rotor in the body frame; the [0, 0, 0] is the center of UAV;
149 | # and the sequence is front_left, front_right, back_left, back_right.
150 | points = np.array([[pos_rotor, pos_rotor, 0], [0, 0, 0], [pos_rotor, -pos_rotor, 0], [0, 0, 0],
151 | [-pos_rotor, pos_rotor, 0], [0, 0, 0], [-pos_rotor, -pos_rotor, 0], [0, 0, 0]]).T
152 | # trans axi from body-frame to world-frame
153 | points_rotation = np.dot(rot_matrix, points)
154 | points_rotation[0, :] += position[0]
155 | points_rotation[1, :] += position[1]
156 | points_rotation[2, :] += position[2]
157 | quad_gui['bar_frontLeft'].set_data(points_rotation[0, 0:2], points_rotation[1, 0:2])
158 | quad_gui['bar_frontLeft'].set_3d_properties(points_rotation[2, 0:2])
159 | quad_gui['bar_frontRight'].set_data(points_rotation[0, 2:4], points_rotation[1, 2:4])
160 | quad_gui['bar_frontRight'].set_3d_properties(points_rotation[2, 2:4])
161 | quad_gui['bar_rearLeft'].set_data(points_rotation[0, 4:6], points_rotation[1, 4:6])
162 | quad_gui['bar_rearLeft'].set_3d_properties(points_rotation[2, 4:6])
163 | quad_gui['bar_rearRight'].set_data(points_rotation[0, 6:8], points_rotation[1, 6:8])
164 | quad_gui['bar_rearRight'].set_3d_properties(points_rotation[2, 6:8])
165 | quad_gui['hub'].set_data(position[0], position[1])
166 | quad_gui['hub'].set_3d_properties(position[2])
167 |
168 |
169 | class QuadrotorFlyGui(object):
170 | """ Gui manage class"""
171 | def __init__(self, quads: list):
172 | self.quads = quads
173 | self.env = QuadrotorFlyGuiEnv()
174 | self.ax = self.env.ax
175 | self.quadGui = QuadrotorFlyGuiUav(self.quads, self.ax)
176 |
177 | def render(self):
178 | self.quadGui.render()
179 | plt.pause(0.000000000000001)
180 |
181 |
182 | if __name__ == '__main__':
183 | import MemoryStore
184 | " used for testing this module"
185 | D2R = Qfm.D2R
186 | testFlag = 1
187 | if testFlag == 1:
188 | # import matplotlib as mpl
189 | print("PID controller test: ")
190 | uavPara = Qfm.QuadParas(structure_type=Qfm.StructureType.quad_plus)
191 | simPara = Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.rand,
192 | init_att=np.array([10., 10., 0]), init_pos=np.array([0, 3, 0]))
193 | quad1 = Qfm.QuadModel(uavPara, simPara)
194 | record = MemoryStore.DataRecord()
195 | record.clear()
196 | # multi uav test
197 | quad2 = Qfm.QuadModel(uavPara, simPara)
198 |
199 | # gui init
200 | gui = QuadrotorFlyGui([quad1, quad2])
201 |
202 | # simulation begin
203 | step_cnt = 0
204 | for i in range(1000):
205 | ref = np.array([0., 0., 1., 0.])
206 | stateTemp = quad1.observe()
207 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
208 | print('action: ', action2)
209 | action2 = np.clip(action2, 0.1, 0.9)
210 | quad1.step(action2)
211 |
212 | # multi uav test
213 | action2, oil2 = quad2.get_controller_pid(quad2.observe(), ref)
214 | quad2.step(action2)
215 |
216 | gui.render()
217 | record.buffer_append((stateTemp, action2))
218 | step_cnt = stateTemp + 1
219 |
220 | record.episode_append()
221 |
222 | print('Quadrotor structure type', quad1.uavPara.structureType)
223 | # quad1.reset_states()
224 | print('Quadrotor get reward:', quad1.get_reward())
225 | data = record.get_episode_buffer()
226 | bs = data[0]
227 | ba = data[1]
228 | t = range(0, record.count)
229 | # mpl.style.use('seaborn')
230 | fig1 = plt.figure(2)
231 | plt.clf()
232 | plt.subplot(3, 1, 1)
233 | plt.plot(t, bs[t, 6] / D2R, label='roll')
234 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
235 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
236 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
237 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
238 | plt.subplot(3, 1, 2)
239 | plt.plot(t, bs[t, 0], label='x')
240 | plt.plot(t, bs[t, 1], label='y')
241 | plt.ylabel('Position (m)', fontsize=15)
242 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
243 | plt.subplot(3, 1, 3)
244 | plt.plot(t, bs[t, 2], label='z')
245 | plt.ylabel('Altitude (m)', fontsize=15)
246 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
247 | plt.show()
248 |
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/QuadrotorFlyModel.py:
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1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """The file used to describe the dynamic of quadrotor UAV
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on Fri Apr 19 10:40:44 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import enum
30 | from enum import Enum
31 | import MemoryStore
32 | import SensorImu
33 | import SensorBase
34 | import SensorGps
35 | import SensorCompass
36 |
37 | """
38 | ********************************************************************************************************
39 | **-------------------------------------------------------------------------------------------------------
40 | ** Compiler : python 3.6
41 | ** Module Name: QuadrotorFlyModel
42 | ** Module Date: 2019-04-19
43 | ** Module Auth: xiaobo
44 | ** Version : V0.1
45 | ** Description: create the module
46 | **-------------------------------------------------------------------------------------------------------
47 | ** Reversion :
48 | ** Modified By:
49 | ** Date :
50 | ** Content :
51 | ** Notes :
52 | ********************************************************************************************************/
53 | """
54 |
55 | # definition of key constant
56 | D2R = np.pi / 180
57 | state_dim = 12
58 | action_dim = 4
59 | state_bound = np.array([10, 10, 10, 5, 5, 5, 80 * D2R, 80 * D2R, 180 * D2R, 100 * D2R, 100 * D2R, 100 * D2R])
60 | action_bound = np.array([1, 1, 1, 1])
61 |
62 |
63 | def rk4(func, x0, action, h):
64 | """Runge Kutta 4 order update function
65 | :param func: system dynamic
66 | :param x0: system state
67 | :param action: control input
68 | :param h: time of sample
69 | :return: state of next time
70 | """
71 | k1 = func(x0, action)
72 | k2 = func(x0 + h * k1 / 2, action)
73 | k3 = func(x0 + h * k2 / 2, action)
74 | k4 = func(x0 + h * k3, action)
75 | # print('rk4 debug: ', k1, k2, k3, k4)
76 | x1 = x0 + h * (k1 + 2 * k2 + 2 * k3 + k4) / 6
77 | return x1
78 |
79 |
80 | class StructureType(Enum):
81 | quad_x = enum.auto()
82 | quad_plus = enum.auto()
83 |
84 |
85 | class QuadParas(object):
86 | """Define the parameters of quadrotor model
87 |
88 | """
89 |
90 | def __init__(self, g=9.81, rotor_num=4, tim_sample=0.01, structure_type=StructureType.quad_plus,
91 | uav_l=0.450, uav_m=1.50, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
92 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_cr=646, rotor_wb=166, rotor_i=9.90e-5, rotor_t=1.36e-2):
93 | """init the quadrotor parameters
94 | These parameters are able to be estimation in web(https://flyeval.com/) if you do not have a real UAV.
95 | common parameters:
96 | -g : N/kg, acceleration gravity
97 | -rotor-num : int, number of rotors, e.g. 4, 6, 8
98 | -tim_sample : s, sample time of system
99 | -structure_type: quad_x, quad_plus
100 | uav:
101 | -uav_l : m, distance from center of mass to center of rotor
102 | -uav_m : kg, the mass of quadrotor
103 | -uav_ixx : kg.m^2 central principal moments of inertia of UAV in x
104 | -uav_iyy : kg.m^2 central principal moments of inertia of UAV in y
105 | -uav_izz : kg.m^2 central principal moments of inertia of UAV in z
106 | rotor (assume that four rotors are the same):
107 | -rotor_ct : N/(rad/s)^2, lump parameter thrust coefficient, which translate rate of rotor to thrust
108 | -rotor_cm : N.m/(rad/s)^2, lump parameter torque coefficient, like ct, usd in yaw
109 | -rotor_cr : rad/s, scale para which translate oil to rate of motor
110 | -rotor_wb : rad/s, bias para which translate oil to rate of motor
111 | -rotor_i : kg.m^2, inertia of moment of rotor(including motor and propeller)
112 | -rotor_t : s, time para of dynamic response of motor
113 | """
114 | self.g = g
115 | self.numOfRotors = rotor_num
116 | self.ts = tim_sample
117 | self.structureType = structure_type
118 | self.uavL = uav_l
119 | self.uavM = uav_m
120 | self.uavInertia = np.array([uav_ixx, uav_iyy, uav_izz])
121 | self.rotorCt = rotor_ct
122 | self.rotorCm = rotor_cm
123 | self.rotorCr = rotor_cr
124 | self.rotorWb = rotor_wb
125 | self.rotorInertia = rotor_i
126 | self.rotorTimScale = 1 / rotor_t
127 |
128 |
129 | class SimInitType(Enum):
130 | rand = enum.auto()
131 | fixed = enum.auto()
132 |
133 |
134 | class ActuatorMode(Enum):
135 | simple = enum.auto()
136 | dynamic = enum.auto()
137 | disturbance = enum.auto()
138 | dynamic_voltage = enum.auto()
139 | disturbance_voltage = enum.auto()
140 |
141 |
142 | class QuadSimOpt(object):
143 | """contain the parameters for guiding the simulation process
144 | """
145 |
146 | def __init__(self, init_mode=SimInitType.rand, init_att=np.array([5, 5, 5]), init_pos=np.array([1, 1, 1]),
147 | max_position=10, max_velocity=10, max_attitude=180, max_angular=200,
148 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
149 | actuator_mode=ActuatorMode.simple, enable_sensor_sys=False):
150 | """ init the parameters for simulation process, focus on conditions during an episode
151 | :param init_mode:
152 | :param init_att:
153 | :param init_pos:
154 | :param sysnoise_bound_pos:
155 | :param sysnoise_bound_att:
156 | :param actuator_mode:
157 | :param enable_sensor_sys: whether the sensor system is enable, including noise and bias of sensor
158 | """
159 | self.initMode = init_mode
160 | self.initAtt = init_att
161 | self.initPos = init_pos
162 | self.actuatorMode = actuator_mode
163 | self.sysNoisePos = sysnoise_bound_pos
164 | self.sysNoiseAtt = sysnoise_bound_att
165 | self.maxPosition = max_position
166 | self.maxVelocity = max_velocity
167 | self.maxAttitude = max_attitude * D2R
168 | self.maxAngular = max_angular * D2R
169 | self.enableSensorSys = enable_sensor_sys
170 |
171 |
172 | class QuadActuator(object):
173 | """Dynamic of actuator including motor and propeller
174 | """
175 |
176 | def __init__(self, quad_para: QuadParas, mode: ActuatorMode):
177 | """Parameters is maintain together
178 | :param quad_para: parameters of quadrotor,maintain together
179 | :param mode: 'simple', without dynamic of motor; 'dynamic' with dynamic;
180 | """
181 | self.para = quad_para
182 | self.motorPara_scale = self.para.rotorTimScale * self.para.rotorCr
183 | self.motorPara_bias = self.para.rotorTimScale * self.para.rotorWb
184 | self.mode = mode
185 |
186 | # states of actuator
187 | self.outThrust = np.zeros([self.para.numOfRotors])
188 | self.outTorque = np.zeros([self.para.numOfRotors])
189 | # rate of rotor
190 | self.rotorRate = np.zeros([self.para.numOfRotors])
191 |
192 | def dynamic_actuator(self, rotor_rate, action):
193 | """dynamic of motor and propeller
194 | input: rotorRate, u
195 | output: rotorRateDot,
196 | """
197 |
198 | rate_dot = self.motorPara_scale * action + self.motorPara_bias - self.para.rotorTimScale * rotor_rate
199 | return rate_dot
200 |
201 | def reset(self):
202 | """reset all state"""
203 |
204 | self.outThrust = np.zeros([self.para.numOfRotors])
205 | self.outTorque = np.zeros([self.para.numOfRotors])
206 | # rate of rotor
207 | self.rotorRate = np.zeros([self.para.numOfRotors])
208 |
209 | def step(self, action: 'int > 0'):
210 | """calculate the next state based on current state and u
211 | :param action:
212 | :return:
213 | """
214 | action = np.clip(action, 0, 1)
215 | # if u > 1:
216 | # u = 1
217 |
218 | if self.mode == ActuatorMode.simple:
219 | # without dynamic of motor
220 | self.rotorRate = self.para.rotorCr * action + self.para.rotorWb
221 | elif self.mode == ActuatorMode.dynamic:
222 | # with dynamic of motor
223 | self.rotorRate = rk4(self.dynamic_actuator, self.rotorRate, action, self.para.ts)
224 | else:
225 | self.rotorRate = 0
226 |
227 | self.outThrust = self.para.rotorCt * np.square(self.rotorRate)
228 | self.outTorque = self.para.rotorCm * np.square(self.rotorRate)
229 | return self.outThrust, self.outTorque
230 |
231 |
232 | class QuadModel(object):
233 | """module interface, main class including basic dynamic of quad
234 | """
235 |
236 | def __init__(self, uav_para: QuadParas, sim_para: QuadSimOpt):
237 | """init a quadrotor
238 | :param uav_para: parameters of quadrotor,maintain together
239 | :param sim_para: 'simple', without dynamic of motor; 'dynamic' with dynamic;
240 | """
241 | self.uavPara = uav_para
242 | self.simPara = sim_para
243 | self.actuator = QuadActuator(self.uavPara, sim_para.actuatorMode)
244 |
245 | # states of quadrotor
246 | # -position, m
247 | self.position = np.array([0, 0, 0])
248 | # -velocity, m/s
249 | self.velocity = np.array([0, 0, 0])
250 | # -attitude, rad
251 | self.attitude = np.array([0, 0, 0])
252 | # -angular, rad/s
253 | self.angular = np.array([0, 0, 0])
254 | # accelerate, m/(s^2)
255 | self.acc = np.zeros(3)
256 |
257 | # time control, s
258 | self.__ts = 0
259 |
260 | # initial the sensors
261 | if self.simPara.enableSensorSys:
262 | self.sensorList = list()
263 | self.imu0 = SensorImu.SensorImu()
264 | self.gps0 = SensorGps.SensorGps()
265 | self.mag0 = SensorCompass.SensorCompass()
266 | self.sensorList.append(self.imu0)
267 | self.sensorList.append(self.gps0)
268 | self.sensorList.append(self.mag0)
269 |
270 | # initial the states
271 | self.reset_states()
272 |
273 | @property
274 | def ts(self):
275 | """return the tick of system"""
276 | return self.__ts
277 |
278 | def generate_init_att(self):
279 | """used to generate a init attitude according to simPara"""
280 | angle = self.simPara.initAtt * D2R
281 | if self.simPara.initMode == SimInitType.rand:
282 | phi = (1 * np.random.random() - 0.5) * angle[0]
283 | theta = (1 * np.random.random() - 0.5) * angle[1]
284 | psi = (1 * np.random.random() - 0.5) * angle[2]
285 | else:
286 | phi = angle[0]
287 | theta = angle[1]
288 | psi = angle[2]
289 | return np.array([phi, theta, psi])
290 |
291 | def generate_init_pos(self):
292 | """used to generate a init position according to simPara"""
293 | pos = self.simPara.initPos
294 | if self.simPara.initMode == SimInitType.rand:
295 | x = (1 * np.random.random() - 0.5) * pos[0]
296 | y = (1 * np.random.random() - 0.5) * pos[1]
297 | z = (1 * np.random.random() - 0.5) * pos[2]
298 | else:
299 | x = pos[0]
300 | y = pos[1]
301 | z = pos[2]
302 | return np.array([x, y, z])
303 |
304 | def reset_states(self, att='none', pos='none'):
305 | self.__ts = 0
306 | self.actuator.reset()
307 | if isinstance(att, str):
308 | self.attitude = self.generate_init_att()
309 | else:
310 | self.attitude = att
311 |
312 | if isinstance(pos, str):
313 | self.position = self.generate_init_pos()
314 | else:
315 | self.position = pos
316 |
317 | self.velocity = np.array([0, 0, 0])
318 | self.angular = np.array([0, 0, 0])
319 |
320 | # sensor system reset
321 | if self.simPara.enableSensorSys:
322 | for sensor in self.sensorList:
323 | sensor.reset(self.state)
324 |
325 | def dynamic_basic(self, state, action):
326 | """ calculate /dot(state) = f(state) + u(state)
327 | This function will be executed many times during simulation, so high performance is necessary.
328 | :param state:
329 | 0 1 2 3 4 5
330 | p_x p_y p_z v_x v_y v_z
331 | 6 7 8 9 10 11
332 | roll pitch yaw v_roll v_pitch v_yaw
333 | :param action: u1(sum of thrust), u2(torque for roll), u3(pitch), u4(yaw)
334 | :return: derivatives of state inclfrom bokeh.plotting import figure
335 | """
336 | # variable used repeatedly
337 | att_cos = np.cos(state[6:9])
338 | att_sin = np.sin(state[6:9])
339 | noise_pos = self.simPara.sysNoisePos * np.random.random(3)
340 | noise_att = self.simPara.sysNoiseAtt * np.random.random(3)
341 |
342 | dot_state = np.zeros([12])
343 | # dynamic of position cycle
344 | dot_state[0:3] = state[3:6]
345 | # we need not to calculate the whole rotation matrix because just care last column
346 | dot_state[3:6] = action[0] / self.uavPara.uavM * np.array([
347 | att_cos[2] * att_sin[1] * att_cos[0] + att_sin[2] * att_sin[0],
348 | att_sin[2] * att_sin[1] * att_cos[0] - att_cos[2] * att_sin[0],
349 | att_cos[0] * att_cos[1]
350 | ]) - np.array([0, 0, self.uavPara.g]) + noise_pos
351 |
352 | # dynamic of attitude cycle
353 | dot_state[6:9] = state[9:12]
354 | # Coriolis force on UAV from motor, this is affected by the direction of rotation.
355 | # Pay attention, it needs to be modify when the model of uav varies.
356 | # The signals of this equation should be same with toque for yaw
357 | rotor_rate_sum = (self.actuator.rotorRate[3] + self.actuator.rotorRate[2]
358 | - self.actuator.rotorRate[1] - self.actuator.rotorRate[0])
359 |
360 | para = self.uavPara
361 | dot_state[9:12] = np.array([
362 | state[10] * state[11] * (para.uavInertia[1] - para.uavInertia[2]) / para.uavInertia[0]
363 | - para.rotorInertia / para.uavInertia[0] * state[10] * rotor_rate_sum
364 | + para.uavL * action[1] / para.uavInertia[0],
365 | state[9] * state[11] * (para.uavInertia[2] - para.uavInertia[0]) / para.uavInertia[1]
366 | + para.rotorInertia / para.uavInertia[1] * state[9] * rotor_rate_sum
367 | + para.uavL * action[2] / para.uavInertia[1],
368 | state[9] * state[10] * (para.uavInertia[0] - para.uavInertia[1]) / para.uavInertia[2]
369 | + action[3] / para.uavInertia[2]
370 | ]) + noise_att
371 |
372 | ''' Just used for test
373 | temp1 = state[10] * state[11] * (para.uavInertia[1] - para.uavInertia[2]) / para.uavInertia[0]
374 | temp2 = - para.rotorInertia / para.uavInertia[0] * state[10] * rotor_rate_sum
375 | temp3 = + para.uavL * action[1] / para.uavInertia[0]
376 | print('dyanmic Test', temp1, temp2, temp3, action)
377 | '''
378 |
379 | return dot_state
380 |
381 | def observe(self):
382 | """out put the system state, with sensor system or without sensor system"""
383 | if self.simPara.enableSensorSys:
384 | sensor_data = dict()
385 | for index, sensor in enumerate(self.sensorList):
386 | if isinstance(sensor, SensorBase.SensorBase):
387 | # name = str(index) + '-' + sensor.get_name()
388 | name = sensor.get_name()
389 | sensor_data.update({name: sensor.observe()})
390 | return sensor_data
391 | else:
392 | return np.hstack([self.position, self.velocity, self.attitude, self.angular])
393 |
394 | @property
395 | def state(self):
396 | return np.hstack([self.position, self.velocity, self.attitude, self.angular])
397 |
398 | def is_finished(self):
399 | if (np.max(np.abs(self.position)) < self.simPara.maxPosition)\
400 | and (np.max(np.abs(self.velocity) < self.simPara.maxVelocity))\
401 | and (np.max(np.abs(self.attitude) < self.simPara.maxAttitude))\
402 | and (np.max(np.abs(self.angular) < self.simPara.maxAngular)):
403 | return False
404 | else:
405 | return True
406 |
407 | def get_reward(self):
408 | reward = np.sum(np.square(self.position)) / 8 + np.sum(np.square(self.velocity)) / 20 \
409 | + np.sum(np.square(self.attitude)) / 3 + np.sum(np.square(self.angular)) / 10
410 | return reward
411 |
412 | def rotor_distribute_dynamic(self, thrusts, torque):
413 | """ calculate torque according to the distribution of rotors
414 | :param thrusts:
415 | :param torque:
416 | :return:
417 | """
418 | ''' The structure of quadrotor, left is '+' and the right is 'x'
419 | The 'x' 'y' in middle defines the positive direction X Y axi in body-frame, which is a right hand frame.
420 | The numbers inside the rotors indicate the index of the motors;
421 | The signals show the direction of rotation, positive is ccw while the negative is cw.
422 | ---------------------------------------------------------------------------------------------------
423 | ******
424 | ** 3 ** **** ****
425 | ** - ** ** ** ** **
426 | ** ** ** 3 ** ** 1 **
427 | ** ** ** - ** ** + **
428 | ** ** ** ** **
429 | **** ** **** **** ** ** ** ****
430 | ** ** ** ** ** ** x(+) *** ***
431 | ** 2 ** ** ** ** 1 ** y(+) y(-) ** **
432 | ** + ** ** ** ** + ** x(-) ** **
433 | ** ** ****** ** ** * ** ** *
434 | **** ** **** **** ** ** ****
435 | ** ** ** ** **
436 | ** ** ** 2 ** ** 4 **
437 | ** ** ** + ** ** - **
438 | ** 4 ** ** ** ** **
439 | ** - ** **** ****
440 | ******
441 | ---------------------------------------------------------------------------------------------------
442 | '''
443 | forces = np.zeros(4)
444 | if self.uavPara.structureType == StructureType.quad_plus:
445 | forces[0] = np.sum(thrusts)
446 | forces[1] = thrusts[1] - thrusts[0]
447 | forces[2] = thrusts[3] - thrusts[2]
448 | forces[3] = torque[3] + torque[2] - torque[1] - torque[0]
449 | elif self.uavPara.structureType == StructureType.quad_x:
450 | forces[0] = np.sum(thrusts)
451 | forces[1] = -thrusts[0] + thrusts[1] + thrusts[2] - thrusts[3]
452 | forces[2] = -thrusts[0] + thrusts[1] - thrusts[2] + thrusts[3]
453 | forces[3] = -torque[0] - torque[1] + torque[2] + torque[3]
454 | else:
455 | forces = np.zeros(4)
456 |
457 | return forces
458 |
459 | def step(self, action: 'int > 0'):
460 |
461 | self.__ts += self.uavPara.ts
462 | # 1.1 Actuator model, calculate the thrust and torque
463 | thrusts, toques = self.actuator.step(action)
464 |
465 | # 1.2 Calculate the force distribute according to 'x' type or '+' type, assum '+' type
466 | forces = self.rotor_distribute_dynamic(thrusts, toques)
467 |
468 | # 1.3 Basic model, calculate the basic model, the u need to be given directly in test-mode for Matlab
469 | state_temp = np.hstack([self.position, self.velocity, self.attitude, self.angular])
470 | state_next = rk4(self.dynamic_basic, state_temp, forces, self.uavPara.ts)
471 | [self.position, self.velocity, self.attitude, self.angular] = np.split(state_next, 4)
472 | # calculate the accelerate
473 | state_dot = self.dynamic_basic(state_temp, forces)
474 | self.acc = state_dot[3:6]
475 |
476 | # 2. Calculate Sensor sensor model
477 | if self.simPara.enableSensorSys:
478 | for index, sensor in enumerate(self.sensorList):
479 | if isinstance(sensor, SensorBase.SensorBase):
480 | sensor.update(np.hstack([state_next, self.acc]), self.__ts)
481 | ob = self.observe()
482 |
483 | # 3. Check whether finish (failed or completed)
484 | finish_flag = self.is_finished()
485 |
486 | # 4. Calculate a reference reward
487 | reward = self.get_reward()
488 |
489 | return ob, reward, finish_flag
490 |
491 | def get_controller_pid(self, state, ref_state=np.array([0, 0, 1, 0])):
492 | """ pid controller
493 | :param state: system state, 12
494 | :param ref_state: reference value for x, y, z, yaw
495 | :return: control value for four motors
496 | """
497 |
498 | # position-velocity cycle, velocity cycle is regard as kd
499 | kp_pos = np.array([0.3, 0.3, 0.8])
500 | kp_vel = np.array([0.15, 0.15, 0.5])
501 | # decoupling about x-y
502 | phy = state[8]
503 | # de_phy = np.array([[np.sin(phy), -np.cos(phy)], [np.cos(phy), np.sin(phy)]])
504 | # de_phy = np.array([[np.cos(phy), np.sin(phy)], [np.sin(phy), -np.cos(phy)]])
505 | de_phy = np.array([[np.cos(phy), -np.sin(phy)], [np.sin(phy), np.cos(phy)]])
506 | err_pos = ref_state[0:3] - np.array([state[0], state[1], state[2]])
507 | ref_vel = err_pos * kp_pos
508 | err_vel = ref_vel - np.array([state[3], state[4], state[5]])
509 | # calculate ref without decoupling about phy
510 | # ref_angle = kp_vel * err_vel
511 | # calculate ref with decoupling about phy
512 | ref_angle = np.zeros(3)
513 | ref_angle[0:2] = np.matmul(de_phy, kp_vel[0] * err_vel[0:2])
514 |
515 | # attitude-angular cycle, angular cycle is regard as kd
516 | kp_angle = np.array([1.0, 1.0, 0.8])
517 | kp_angular = np.array([0.2, 0.2, 0.2])
518 | # ref_angle = np.zeros(3)
519 | err_angle = np.array([-ref_angle[1], ref_angle[0], ref_state[3]]) - np.array([state[6], state[7], state[8]])
520 | ref_rate = err_angle * kp_angle
521 | err_rate = ref_rate - [state[9], state[10], state[11]]
522 | con_rate = err_rate * kp_angular
523 |
524 | # the control value in z direction needs to be modify considering gravity
525 | err_altitude = (ref_state[2] - state[2]) * 0.5
526 | con_altitude = (err_altitude - state[5]) * 0.25
527 | oil_altitude = 0.6 + con_altitude
528 | if oil_altitude > 0.75:
529 | oil_altitude = 0.75
530 |
531 | action_motor = np.zeros(4)
532 | if self.uavPara.structureType == StructureType.quad_plus:
533 | action_motor[0] = oil_altitude - con_rate[0] - con_rate[2]
534 | action_motor[1] = oil_altitude + con_rate[0] - con_rate[2]
535 | action_motor[2] = oil_altitude - con_rate[1] + con_rate[2]
536 | action_motor[3] = oil_altitude + con_rate[1] + con_rate[2]
537 | elif self.uavPara.structureType == StructureType.quad_x:
538 | action_motor[0] = oil_altitude - con_rate[2] - con_rate[1] - con_rate[0]
539 | action_motor[1] = oil_altitude - con_rate[2] + con_rate[1] + con_rate[0]
540 | action_motor[2] = oil_altitude + con_rate[2] - con_rate[1] + con_rate[0]
541 | action_motor[3] = oil_altitude + con_rate[2] + con_rate[1] - con_rate[0]
542 | else:
543 | action_motor = np.zeros(4)
544 |
545 | action_pid = action_motor
546 | return action_pid, oil_altitude
547 |
548 |
549 | if __name__ == '__main__':
550 | " used for testing this module"
551 | testFlag = 3
552 |
553 | if testFlag == 1:
554 | # test for actuator
555 | qp = QuadParas()
556 | ac0 = QuadActuator(qp, ActuatorMode.simple)
557 | print("QuadActuator Test")
558 | print("dynamic result0:", ac0.rotorRate)
559 | result1 = ac0.dynamic_actuator(ac0.rotorRate, np.array([0.2, 0.4, 0.6, 0.8]))
560 |
561 | print("dynamic result1:", result1)
562 | result2 = ac0.dynamic_actuator(np.array([400, 800, 1200, 1600]), np.array([0.2, 0.4, 0.6, 0.8]))
563 | print("dynamic result2:", result2)
564 | ac0.reset()
565 | ac0.step(np.array([0.2, 0.4, 0.6, 0.8]))
566 | print("dynamic result3:", ac0.rotorRate, ac0.outTorque, ac0.outThrust)
567 | print("QuadActuator Test Completed! ---------------------------------------------------------------")
568 | elif testFlag == 2:
569 | print("Basic model test: ")
570 | uavPara = QuadParas()
571 | simPara = QuadSimOpt(init_mode=SimInitType.fixed, actuator_mode=ActuatorMode.dynamic,
572 | init_att=np.array([0.2, 0.2, 0.2]), init_pos=np.array([0, 0, 0]))
573 | quad1 = QuadModel(uavPara, simPara)
574 | u = np.array([100., 20., 20., 20.])
575 | stateTemp = np.array([1., 2., 3., 0.2, 0.3, 0.4, 0.3, 0.4, 0.5, 0.4, 0.5, 0.6])
576 | result1 = quad1.dynamic_basic(stateTemp, np.array([100., 20., 20., 20.]))
577 | print("result1 ", result1)
578 | [quad1.pos, quad1.velocity, quad1.attitude, quad1.angular] = np.split(stateTemp, 4)
579 | result2 = quad1.step(u)
580 | print("result2 ", result2, quad1.pos, quad1.velocity, quad1.attitude, quad1.angular)
581 | elif testFlag == 3:
582 | import matplotlib.pyplot as plt
583 | import matplotlib as mpl
584 | print("PID controller test: ")
585 | uavPara = QuadParas(structure_type=StructureType.quad_x)
586 | simPara = QuadSimOpt(init_mode=SimInitType.fixed, enable_sensor_sys=False,
587 | init_att=np.array([10., -10., 30]), init_pos=np.array([5, -5, 0]))
588 | quad1 = QuadModel(uavPara, simPara)
589 | record = MemoryStore.DataRecord()
590 | record.clear()
591 | step_cnt = 0
592 | for i in range(1000):
593 | ref = np.array([0., 0., 1., 0.])
594 | stateTemp = quad1.observe()
595 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
596 | print('action: ', action2)
597 | action2 = np.clip(action2, 0.1, 0.9)
598 | quad1.step(action2)
599 | record.buffer_append((stateTemp, action2))
600 | step_cnt = step_cnt + 1
601 | record.episode_append()
602 |
603 | print('Quadrotor structure type', quad1.uavPara.structureType)
604 | # quad1.reset_states()
605 | print('Quadrotor get reward:', quad1.get_reward())
606 | data = record.get_episode_buffer()
607 | bs = data[0]
608 | ba = data[1]
609 | t = range(0, record.count)
610 | # mpl.style.use('seaborn')
611 | fig1 = plt.figure(1)
612 | plt.clf()
613 | plt.subplot(3, 1, 1)
614 | plt.plot(t, bs[t, 6] / D2R, label='roll')
615 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
616 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
617 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
618 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
619 | plt.subplot(3, 1, 2)
620 | plt.plot(t, bs[t, 0], label='x')
621 | plt.plot(t, bs[t, 1], label='y')
622 | plt.ylabel('Position (m)', fontsize=15)
623 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
624 | plt.subplot(3, 1, 3)
625 | plt.plot(t, bs[t, 2], label='z')
626 | plt.ylabel('Altitude (m)', fontsize=15)
627 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
628 | plt.show()
629 |
--------------------------------------------------------------------------------
/QuadrotorFlyTest.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """This file is used for testing the QuadrotorFly
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 五月 06 17:13 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 | import QuadrotorFlyGui as Qfg
31 | import MemoryStore
32 | import matplotlib.pyplot as plt
33 | from enum import Enum
34 | import enum
35 | import StateEstimator
36 | import CamDown
37 | import time
38 | import cv2
39 |
40 | """
41 | ********************************************************************************************************
42 | **-------------------------------------------------------------------------------------------------------
43 | ** Compiler : python 3.6
44 | ** Module Name: QuadrotorFlyTest
45 | ** Module Date: 2019/5/6
46 | ** Module Auth: xiaobo
47 | ** Version : V0.1
48 | ** Description: 'Replace the content between'
49 | **-------------------------------------------------------------------------------------------------------
50 | ** Reversion :
51 | ** Modified By:
52 | ** Date :
53 | ** Content :
54 | ** Notes :
55 | ********************************************************************************************************/
56 | """
57 |
58 |
59 | class TestPara(Enum):
60 | Test_Module_Dynamic = enum.auto()
61 | Test_Module_Dynamic_Sensor = enum.auto()
62 | Test_Module_Dynamic_CamDown = enum.auto()
63 |
64 |
65 | D2R = Qfm.D2R
66 | testFlag = TestPara.Test_Module_Dynamic_Sensor
67 |
68 | if testFlag == TestPara.Test_Module_Dynamic:
69 | print("QuadrotorFly Dynamic Test: ")
70 | # define the quadrotor parameters
71 | uavPara = Qfm.QuadParas()
72 | # define the simulation parameters
73 | simPara = Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.rand,
74 | init_att=np.array([10., 10., 0]), init_pos=np.array([0, 3, 0]))
75 | # define the data capture
76 | record = MemoryStore.DataRecord()
77 | record.clear()
78 | # define the first uav
79 | quad1 = Qfm.QuadModel(uavPara, simPara)
80 | # define the second uav
81 | quad2 = Qfm.QuadModel(uavPara, simPara)
82 | # gui init
83 | gui = Qfg.QuadrotorFlyGui([quad1, quad2])
84 |
85 | # simulation begin
86 | for i in range(1000):
87 | # set the reference
88 | ref = np.array([0., 0., 1., 0.])
89 |
90 | # update the first uav
91 | stateTemp = quad1.observe()
92 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
93 | quad1.step(action2)
94 | # update the second uav
95 | action2, oil2 = quad2.get_controller_pid(quad2.observe(), ref)
96 | quad2.step(action2)
97 |
98 | # gui render
99 | gui.render()
100 |
101 | # store data
102 | record.buffer_append((stateTemp, action2))
103 |
104 | # Data_recorder 0.3+ store episode data with independent deque
105 | record.episode_append()
106 |
107 | # draw result
108 | data = record.get_episode_buffer()
109 | bs = data[0]
110 | ba = data[1]
111 | t = range(0, record.count)
112 | fig1 = plt.figure(2)
113 | plt.clf()
114 | # draw position
115 | plt.subplot(3, 1, 1)
116 | plt.plot(t, bs[t, 6] / D2R, label='roll')
117 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
118 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
119 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
120 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
121 | # draw position
122 | plt.subplot(3, 1, 2)
123 | plt.plot(t, bs[t, 0], label='x')
124 | plt.plot(t, bs[t, 1], label='y')
125 | plt.ylabel('Position (m)', fontsize=15)
126 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
127 | # draw altitude
128 | plt.subplot(3, 1, 3)
129 | plt.plot(t, bs[t, 2], label='z')
130 | plt.ylabel('Altitude (m)', fontsize=15)
131 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
132 | plt.show()
133 |
134 | elif testFlag == TestPara.Test_Module_Dynamic_Sensor:
135 | # from QuadrotorFly import QuadrotorFlyModel as Qfm
136 | q1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.fixed, enable_sensor_sys=True,
137 | init_pos=np.array([5, -4, 0]), init_att=np.array([0, 0, 5])))
138 | # init the estimator
139 | s1 = StateEstimator.KalmanFilterSimple()
140 | # set the init state of estimator
141 | s1.reset(q1.state)
142 | # simulation period
143 | t = np.arange(0, 30, 0.01)
144 | ii_len = len(t)
145 | stateRealArr = np.zeros([ii_len, 12])
146 | stateEstArr = np.zeros([ii_len, 12])
147 | meaArr = np.zeros([ii_len, 3])
148 |
149 | # set the bias
150 | s1.gyroBias = q1.imu0.gyroBias
151 | s1.accBias = q1.imu0.accBias
152 | s1.magRef = q1.mag0.para.refField
153 | print(s1.gyroBias, s1.accBias)
154 |
155 | for ii in range(ii_len):
156 | # wait for start
157 | if ii < 100:
158 | sensor_data1 = q1.observe()
159 | _, oil = q1.get_controller_pid(q1.state)
160 | action = np.ones(4) * oil
161 | q1.step(action)
162 | stateEstArr[ii] = s1.update(sensor_data1, q1.ts)
163 | stateRealArr[ii] = q1.state
164 | else:
165 | sensor_data1 = q1.observe()
166 | action, oil = q1.get_controller_pid(s1.state, np.array([0, 0, 3, 0]))
167 | q1.step(action)
168 | stateEstArr[ii] = s1.update(sensor_data1, q1.ts)
169 | stateRealArr[ii] = q1.state
170 | import matplotlib.pyplot as plt
171 | plt.figure(1)
172 | ylabelList = ['roll', 'pitch', 'yaw', 'rate_roll', 'rate_pit', 'rate_yaw']
173 | for ii in range(6):
174 | plt.subplot(6, 1, ii + 1)
175 | plt.plot(t, stateRealArr[:, 6 + ii] / D2R, '-b', label='real')
176 | plt.plot(t, stateEstArr[:, 6 + ii] / D2R, '-g', label='est')
177 | plt.legend()
178 | plt.ylabel(ylabelList[ii])
179 | # plt.show()
180 |
181 | ylabelList = ['p_x', 'p_y', 'p_z', 'vel_x', 'vel_y', 'vel_z']
182 | plt.figure(2)
183 | for ii in range(6):
184 | plt.subplot(6, 1, ii + 1)
185 | plt.plot(t, stateRealArr[:, ii], '-b', label='real')
186 | plt.plot(t, stateEstArr[:, ii], '-g', label='est')
187 | plt.legend()
188 | plt.ylabel(ylabelList[ii])
189 | plt.show()
190 | elif testFlag == TestPara.Test_Module_Dynamic_CamDown:
191 | import matplotlib.pyplot as plt
192 | from QuadrotorFlyModel import QuadModel, QuadSimOpt, QuadParas, StructureType, SimInitType
193 | D2R = np.pi / 180
194 | video_write_flag = True
195 |
196 | print("PID controller test: ")
197 | uavPara = QuadParas(structure_type=StructureType.quad_x)
198 | simPara = QuadSimOpt(init_mode=SimInitType.fixed, enable_sensor_sys=False,
199 | init_att=np.array([5., -5., 0]), init_pos=np.array([5, -5, 0]))
200 | quad1 = QuadModel(uavPara, simPara)
201 | record = MemoryStore.DataRecord()
202 | record.clear()
203 | step_cnt = 0
204 |
205 | # init the camera
206 | cam1 = CamDown.CamDown(render_mode=CamDown.CamDownPara.Render_Mode_Gpu)
207 | cam1.load_ground_img()
208 | print('Load img completed!')
209 | if video_write_flag:
210 | v_format = cv2.VideoWriter_fourcc(*'MJPG')
211 | out1 = cv2.VideoWriter('Data/img/test.avi', v_format, 1 / quad1.uavPara.ts, (cam1.imgVertical, cam1.imgHorizon))
212 | for i in range(1000):
213 | if i == 0:
214 | time_start = time.time()
215 | ref = np.array([0., 0., 3., 0.])
216 | stateTemp = quad1.observe()
217 | # get image
218 | pos_0 = quad1.position * 1000
219 | att_0 = quad1.attitude
220 | img1 = cam1.get_img_by_state(pos_0, att_0)
221 | # file_name = 'Data/img/test_' + str(i) + '.jpg'
222 | # cv2.imwrite(file_name, img1)
223 | if video_write_flag:
224 | out1.write(img1)
225 |
226 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
227 | print('action: ', action2)
228 | action2 = np.clip(action2, 0.1, 0.9)
229 | quad1.step(action2)
230 | record.buffer_append((stateTemp, action2))
231 | step_cnt = step_cnt + 1
232 | time_end = time.time()
233 | print('time cost:', str(time_end - time_start))
234 | record.episode_append()
235 | if video_write_flag:
236 | out1.release()
237 |
238 | print('Quadrotor structure type', quad1.uavPara.structureType)
239 | # quad1.reset_states()
240 | print('Quadrotor get reward:', quad1.get_reward())
241 | data = record.get_episode_buffer()
242 | bs = data[0]
243 | ba = data[1]
244 | t = range(0, record.count)
245 | # mpl.style.use('seaborn')
246 | fig1 = plt.figure(1)
247 | plt.clf()
248 | plt.subplot(3, 1, 1)
249 | plt.plot(t, bs[t, 6] / D2R, label='roll')
250 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
251 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
252 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
253 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
254 | plt.subplot(3, 1, 2)
255 | plt.plot(t, bs[t, 0], label='x')
256 | plt.plot(t, bs[t, 1], label='y')
257 | plt.ylabel('Position (m)', fontsize=15)
258 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
259 | plt.subplot(3, 1, 3)
260 | plt.plot(t, bs[t, 2], label='z')
261 | plt.ylabel('Altitude (m)', fontsize=15)
262 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
263 | plt.show()
264 |
--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
1 | # QuadrotorFly四旋翼无人机动力学模型
2 |
3 | 主要目的是开发一个用于无人机动力学仿真的简单易用、功能相对齐全的仿真环境(也许是水论文环境)。
4 |
5 | # 0.3 版本主要更新
6 |
7 | 1. 加入了下视摄像头,假设在无人机的质心位置存在一个垂直机体并向下的摄像头,用来观测地面的图像和纹理,可以通过这个来试验光流等视觉定位算法
8 |
9 | 2. 下视摄像头图像的渲染提供了内存,cpu,gpu三种模式,内存就是把整个地面的图像全部放在内存里(会占用1G左右内存),cpu/gpu是通过贴图渲染,实验发现gpu渲染的效率是cpu的20倍左右(测试环境,i7-8086,gtx1080)
10 |
11 | 3. 调用的参考例子在Test目录下的Test_fullWithCamdown.py (有详细的注释)
12 |
13 | 4. 测试可能需要的地板图片和停机坪图片在这里
14 |
15 | [地板图片][http://qiniu.xiaobolin.cn/QuadrotorFlyGit/groundImgSmall.jpg]
16 |
17 | [停机坪图片][http://qiniu.xiaobolin.cn/QuadrotorFlyGit/landingMark.jpg]
18 |
19 | 5. 缺乏光流算法验证测试,可惜我不会呀。。。。。。。
20 |
21 | # 0.2 版本主要更新
22 | 详情见[传感器系统](Doc/SensorSystem.md)
23 | 1. 加入了传感器子系统(默认不使能),包含IMU(陀螺仪+加速度计),GPS,compass(磁力计),
24 | 1. 加入了一个简单的卡尔曼滤波估计器。
25 | 1. 加入了时间系统,即无人机有一个自己的内部时间,每次迭代会累计采样周期,reset回导致时间归零。
26 | 2. 参考例子在StateEstimator.py和Test_fullWithSensor.py
27 | 3. 可以通过继承SensorBase来完成自定义传感器, 通过继承StateEstimatorBase来实现
28 |
29 | # 主要功能(已实现)
30 |
31 | ## 模型功能
32 |
33 | - [四旋翼基本动力学模型](#四旋翼基本动力学模型),即电机推力到角速度、速度的动力学模型。
34 | - [电机动力学模型](#电机动力学模型),简化成一阶惯性系统,控制输入为百分比(即0-1的小数)。
35 | - 系统干扰,作用在基本动力学模型上的均值可设定的随机噪声
36 | - 机型选择,**'x'** 型或 **'+'** 型。见[常见机型](#常见四旋翼无人机机型)
37 | - 提供了常见控制器以供参考,现有PD控制器
38 | - 提供了奖励函数以供学习算法使用
39 | - 状态边界检查,超出最大值后finish标志变成True
40 | - 传感器系统(imu、gps、compass)
41 | - 下视摄像头,可以用于视觉导航【新】
42 | - 时间戳
43 |
44 | ## 仿真功能
45 |
46 | - 支持随机初始位置、固定初始位置两种启动模式
47 | - 采样时间可设定,状态更新方式采用4阶龙格库塔方法
48 | - GUI动画,目前基于matplotlib搭建,支持多机
49 |
50 | # 环境与依赖
51 | ## 环境
52 | python3 + 你喜欢的编辑器
53 | 新手推荐anconda+spyder简单粗暴,入门建议anaconda+jupyter快捷稳定逼格高,想长期学习的建议anaconda+pycharm门槛高功能强大到难以想象。
54 | ## 需要的库
55 | - numpy
56 | - matplotlib
57 | - numba (0.3 后需要)
58 | - opencv (0.3 后需要)
59 |
60 | ## 我使用的环境
61 | - win10 + Anaconda (python 3.6)+ Pycharm
62 |
63 | # 使用教程
64 | 这些程序在pycharm、spyder下运行通过。jupyter的测试程序是工程目录下的TestInJupyter.ipynb,模型可以运行,不过gui动画不会动,暂时还没有修复。使用过程中有什么建议或者问题可以联系我729527658@qq.com.
65 |
66 | ## 测试
67 | 下载解压(建议使用git克隆)后运行其中的 **QuadrotorFlyTest.py**文件。
68 | git克隆指令
69 | ```bash
70 | git clone https://github.com/linxiaobo110/QuadrotorFly.git
71 | ```
72 |
73 | 成功运行可以看到以下效果:
74 | 
75 | 运行结束后在画面单击可以看整个过程的飞行曲线
76 | 
77 |
78 | ## 最简实现
79 | 不画图和记录数据,就是了解整个调用流程。可以在当前目录里新建一个Test_simple.py(这个代码在Test文件夹里有),然后放入以下代码:
80 | ```python
81 | # 包含头文件
82 | import numpy as np
83 | import QuadrotorFlyModel as Qfm
84 | # 定义无人机参数
85 | uavPara = Qfm.QuadParas()
86 | # 定义仿真的参数
87 | simPara = Qfm.QuadSimOpt()
88 | # 使用参数新建一个无人机
89 | quad1 = Qfm.QuadModel(uavPara, simPara)
90 |
91 | # 仿真循环开始,总共1000步
92 | print("Simplest simulation begin!")
93 | for i in range(1000):
94 | # 设定目标,分别是x,y,z的位置,和偏航角的角度
95 | ref = np.array([0., 0., 1., 0.])
96 | # 获取无人机的状态,
97 | # 共12个维度分别是,xyz位置,xyz速度,roll pitch yaw姿态角,roll pitch yaw 角速度
98 | stateTemp = quad1.observe()
99 | # 通过无人机状态计算控制量,这也是自行设计控制器应修改的地方
100 | # 这是一个内置的控制器,返回值是给各个电机的控制量即油门的大小
101 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
102 | # 使用控制量更新无人机,控制量是4维向量,范围0-1
103 | quad1.step(action2)
104 |
105 | print("Simulation finish!")
106 | ```
107 |
108 | 遇到“No module name ‘QuadrotorFlyGui’ ”或者 “No module name ‘QuadrotorFlyModel’”,见[工程环境设置错误](#工程环境设置错误)。
109 |
110 | ## 自定义仿真参数
111 | 在工程下新建Test_full.py(这个代码在Test文件夹里有),然后复制以下代码:
112 |
113 | ```python
114 | # 包含文件
115 | import numpy as np
116 | import QuadrotorFlyModel as Qfm
117 | import QuadrotorFlyGui as Qfg
118 | import MemoryStore
119 | import matplotlib.pyplot as plt
120 | # 角度到弧度的转换
121 | D2R = Qfm.D2R
122 | # 仿真参数设置
123 | simPara = Qfm.QuadSimOpt(
124 | # 初值重置方式(随机或者固定);姿态初值参数(随机就是上限,固定就是设定值);位置初值参数(同上)
125 | init_mode=Qfm.SimInitType.rand, init_att=np.array([5., 5., 5.]), init_pos=np.array([1., 1., 1.]),
126 | # 仿真运行的最大位置,最大速度,最大姿态角(角度,不是弧度注意),最大角速度(角度每秒)
127 | max_position=8, max_velocity=8, max_attitude=180, max_angular=200,
128 | # 系统噪声,分别在位置环和速度环
129 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
130 | #执行器模式,简单模式没有电机动力学,
131 | actuator_mode=Qfm.ActuatorMode.dynamic
132 | )
133 | # 无人机参数设置,可以为不同的无人机设置不同的参数
134 | uavPara = Qfm.QuadParas(
135 | # 重力加速度;采样时间;机型plus或者x
136 | g=9.8, tim_sample=0.01, structure_type=Qfm.StructureType.quad_plus,
137 | # 无人机臂长(米);质量(千克);飞机绕三个轴的转动惯量(千克·平方米)
138 | uav_l=0.45, uav_m=1.5, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
139 | # 螺旋桨推力系数(牛每平方(弧度每秒)),螺旋桨扭力系数(牛·米每平方(弧度每秒)),旋翼转动惯量,
140 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_i=9.9e-5,
141 | # 电机转速比例参数(度每秒),电机转速偏置参数(度每秒),电机相应时间(秒)
142 | rotor_cr=646, rotor_wb=166, rotor_t=1.36e-2
143 | )
144 | # 使用参数新建无人机
145 | quad1 = Qfm.QuadModel(uavPara, simPara)
146 |
147 | # 初始化GUI,并添加无人机
148 | gui = Qfg.QuadrotorFlyGui([quad1])
149 |
150 | # 初始化记录器,用于记录飞行数据
151 | record = MemoryStore.DataRecord()
152 |
153 | # 重置系统
154 | # 当需要跑多次重复实验时注意重置系统,
155 | quad1.reset_states()
156 | record.clear()
157 |
158 | # 仿真过程
159 | print("Simplest simulation begin!")
160 | for i in range(1000):
161 | # 模型更新
162 | # 设置目标
163 | ref = np.array([0., 0., 1., 0.])
164 | # 获取无人机的状态,共12维的向量
165 | # 分别是,xyz位置,xyz速度,roll pitch yaw姿态角,roll pitch yaw 角速度
166 | stateTemp = quad1.observe()
167 | # 通过无人机状态计算控制量,这也是自行设计控制器应修改的地方
168 | # 这是一个内置的控制器,返回值是给各个电机的控制量即油门的大小
169 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
170 | # 使用控制量更新无人机,控制量是4维向量,范围0-1
171 | quad1.step(action2)
172 |
173 | # 记录数据
174 | record.buffer_append((stateTemp, action2))
175 |
176 | # 渲染GUI
177 | gui.render()
178 |
179 | record.episode_append()
180 | # 输出结果
181 | ## 获取记录中的状态
182 | data = record.get_episode_buffer()
183 | bs = data[0]
184 | ## 获取记录中的控制量
185 | ba = data[1]
186 |
187 | ## 生成时间序列
188 | t = range(0, record.count)
189 | ## 画图
190 | fig1 = plt.figure(2)
191 | plt.clf()
192 | ## 姿态图
193 | plt.subplot(3, 1, 1)
194 | plt.plot(t, bs[t, 6] / D2R, label='roll')
195 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
196 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
197 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
198 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
199 | ## 位置图(xy)
200 | plt.subplot(3, 1, 2)
201 | plt.plot(t, bs[t, 0], label='x')
202 | plt.plot(t, bs[t, 1], label='y')
203 | plt.ylabel('Position (m)', fontsize=15)
204 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
205 | ## 高度图
206 | plt.subplot(3, 1, 3)
207 | plt.plot(t, bs[t, 2], label='z')
208 | plt.ylabel('Altitude (m)', fontsize=15)
209 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
210 | print("Simulation finish!")
211 | ```
212 |
213 | 在spyder下的运行效果:
214 | 
215 |
216 | 如果遇到spyder运行时,图片在终端里显示(就是没有弹出新窗口),见[Spyder图形渲染设置](#spyder图形渲染设置)。
217 |
218 | # 基础知识
219 |
220 | ## 常见四旋翼无人机机型
221 |
222 | - **+** 型四旋翼无人机
223 |
224 | 
225 |
226 | - **X** 型四旋翼无人机
227 |
228 | 
229 |
230 | ## 四旋翼基本动力学模型
231 |
232 |
233 |
234 | 其中$p_x,p_y,p_z$ 是位置,$\varphi,\theta,\psi$是姿态,$\tau_{0,1,2,3}$分别是总体推力,绕x轴、y轴,z轴的扭力。
235 |
236 | ## 电机动力学模型
237 |
238 |
239 |
240 | 其中$\omega$是电机的转速;$u$是输入给电机的控制信号;$T,M$分别是电机产生的推力和扭力。
241 |
242 | ## 动力学中的力与螺旋桨产生的力关系
243 | 以十型举例
244 |
245 |
246 |
247 | # FAQ
248 | ## 工程环境设置错误
249 |
250 | - 现象:
251 | ModuleNotFoundError: No module named 'QuadrotorFlyGui'
252 | - 原因:
253 | 这是因为工程运行的目录不是QuadrotorFly目录,比如在Test里,或者是在一个上级的目录。
254 | - 解决办法
255 |
256 | 如果上级目录,修改import语句成
257 | ```python
258 | # 其他类似
259 | import QuadrotorFly.QuadrotorFlyGui
260 | ```
261 |
262 | 如果是在Test里,或者不确定在哪里,直接修改程序运行目录
263 | 1. spyder编辑器
264 | 选择为每个文件单独指定配置文件
265 | 
266 | 选择指定文件夹
267 | 
268 | 选择QuadrotorFly目录
269 | 
270 |
271 | ## Spyder图形渲染设置
272 | 选择tool->preferences
273 | 
274 | 设置合适的渲染工具,不是inline
275 | 
276 |
277 |
278 |
--------------------------------------------------------------------------------
/SensorBase.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """'abstract class for sensors, define the general call interface'
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 20 22:35 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import enum
30 | from enum import Enum
31 | import abc
32 |
33 | """
34 | ********************************************************************************************************
35 | **-------------------------------------------------------------------------------------------------------
36 | ** Compiler : python 3.6
37 | ** Module Name: SensorBase
38 | ** Module Date: 2019/6/20
39 | ** Module Auth: xiaobo
40 | ** Version : V0.1
41 | ** Description: 'Replace the content between'
42 | **-------------------------------------------------------------------------------------------------------
43 | ** Reversion :
44 | ** Modified By:
45 | ** Date :
46 | ** Content :
47 | ** Notes :
48 | ********************************************************************************************************/
49 | """
50 |
51 |
52 | class SensorType(Enum):
53 | """Define the sensor types"""
54 | none = enum.auto()
55 | imu = enum.auto()
56 | compass = enum.auto()
57 | gps = enum.auto()
58 |
59 |
60 | class SensorBase(object, metaclass=abc.ABCMeta):
61 | """Define the abstract sensor_base class"""
62 | sensorType = SensorType.none
63 |
64 | def __init__(self):
65 | super(SensorBase, self).__init__()
66 | # the update tick of last one
67 | self._lastTick = 0
68 | self._isUpdated = False
69 |
70 | @property
71 | def last_tick(self):
72 | """the update tick of last one"""
73 | return self._lastTick
74 |
75 | @property
76 | def is_updated(self):
77 | return self._isUpdated
78 |
79 | def observe(self):
80 | """return the sensor data"""
81 | pass
82 |
83 | def update(self, real_state, ts):
84 | """Calculating the output data of sensor according to real state of vehicle,
85 | the difference between update and get_data is that this method will be called when system update,
86 | but the get_data is called when user need the sensor data.
87 | :param real_state: real system state from vehicle
88 | :param ts: the system tick
89 | """
90 | pass
91 |
92 | def reset(self, real_state):
93 | """reset the sensor"""
94 | pass
95 |
96 | def get_name(self):
97 | """get the name of sensor, format: type:model-no"""
98 | pass
99 |
--------------------------------------------------------------------------------
/SensorCompass.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """Implement the sensor details about compass
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 23 11:24 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | from SensorBase import SensorBase, SensorType
30 | import CommonFunctions as Cf
31 |
32 | """
33 | ********************************************************************************************************
34 | **-------------------------------------------------------------------------------------------------------
35 | ** Compiler : python 3.6
36 | ** Module Name: SensorCompass
37 | ** Module Date: 2019/6/23
38 | ** Module Auth: xiaobo
39 | ** Version : V0.1
40 | ** Description: 'Replace the content between'
41 | **-------------------------------------------------------------------------------------------------------
42 | ** Reversion :
43 | ** Modified By:
44 | ** Date :
45 | ** Content :
46 | ** Notes :
47 | ********************************************************************************************************/
48 | """
49 |
50 |
51 | class CompassPara(object):
52 | def __init__(self, max_update_frequency=50, start_delay=0, latency=0, name="compass",
53 | accuracy=0.5):
54 | """
55 | :param max_update_frequency: max-update-frequency supported, Hz
56 | :param start_delay: the sensor start after this time, s
57 | :param latency: the state captured is indeed the state before, s
58 | :param name: the name of sensor,
59 | :param accuracy: the accuracy, uT
60 | """
61 | self.minTs = 1 / max_update_frequency
62 | self.startDelay = start_delay
63 | self.latency = latency
64 | self.name = name
65 | self.accuracy = accuracy
66 |
67 | # the world-frame used in QuadrotorFly is East-North-Sky
68 | # varying magnetic filed or fixed one
69 | self.refFlagFixed = True
70 | self.refField = np.array([9.805, 34.252, -93.438])
71 |
72 |
73 | class SensorCompass(SensorBase):
74 |
75 | def __init__(self, para=CompassPara()):
76 | """
77 | :param para:
78 | """
79 | SensorBase.__init__(self)
80 | self.para = para
81 | self.sensorType = SensorType.compass
82 | self.magMea = np.zeros(3)
83 |
84 | def observe(self):
85 | """return the sensor data"""
86 | return self._isUpdated, self.magMea
87 |
88 | def update(self, real_state, ts):
89 | """Calculating the output data of sensor according to real state of vehicle,
90 | the difference between update and get_data is that this method will be called when system update,
91 | but the get_data is called when user need the sensor data.
92 | the real_state here should be a 12 degree vector,
93 | :param real_state:
94 | 0 1 2 3 4 5
95 | p_x p_y p_z v_x v_y v_z
96 | 6 7 8 9 10 11
97 | roll pitch yaw v_roll v_pitch v_yaw
98 | :param ts: system tick now
99 | """
100 |
101 | # process the update period
102 | if (ts - self._lastTick) >= self.para.minTs:
103 | self._isUpdated = True
104 | self._lastTick = ts
105 | else:
106 | self._isUpdated = False
107 |
108 | if self._isUpdated:
109 | # Magnetic sensor
110 | mag_world = self.para.refField
111 | rot_matrix = Cf.get_rotation_inv_matrix(real_state[6:9])
112 | acc_body = np.dot(rot_matrix, mag_world)
113 | noise_mag = (1 * np.random.random(3) - 0.5) * np.sqrt(self.para.accuracy)
114 | self.magMea = acc_body + noise_mag
115 | else:
116 | # keep old
117 | pass
118 |
119 | return self.observe()
120 |
121 | def reset(self, real_state):
122 | """reset the sensor"""
123 | self._lastTick = 0
124 |
125 | def get_name(self):
126 | """get the name of sensor, format: type:model-no"""
127 | return self.para.name
128 |
129 |
130 | if __name__ == '__main__':
131 | " used for testing this module"
132 | D2R = Cf.D2R
133 | testFlag = 1
134 | if testFlag == 1:
135 | from QuadrotorFly import QuadrotorFlyModel as Qfm
136 | q1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.fixed,
137 | init_att=np.array([5, 6, 8])))
138 | s1 = SensorCompass()
139 | t = np.arange(0, 10, 0.01)
140 | ii_len = len(t)
141 | stateArr = np.zeros([ii_len, 12])
142 | meaArr = np.zeros([ii_len, 3])
143 | for ii in range(ii_len):
144 | state = q1.observe()
145 | action, oil = q1.get_controller_pid(state)
146 | q1.step(action)
147 |
148 | flag, meaArr[ii] = s1.update(state, q1.ts)
149 | stateArr[ii] = state
150 |
151 | estArr = np.zeros(ii_len)
152 | for i, x in enumerate(meaArr):
153 | temp = Cf.get_rotation_matrix(stateArr[i, 6:9])
154 | ref_temp = np.dot(temp, np.array([0, 0, s1.para.refField[2]]))
155 | # estArr[i] = np.arctan2(temp[0], temp[1])
156 | mea_temp = meaArr[i, :]
157 | # mea_temp[0] -= s1.para.refField[2] * np.sin(stateArr[i, 7])
158 | # mea_temp[1] -= s1.para.refField[2] * np.sin(stateArr[i, 6])
159 | print(mea_temp, ref_temp)
160 | mag_body1 = mea_temp[1] * np.cos(stateArr[i, 6]) - mea_temp[2] * np.sin(stateArr[i, 6])
161 | mag_body2 = (mea_temp[0] * np.cos(stateArr[i, 7]) +
162 | mea_temp[1] * np.sin(stateArr[i, 6]) * np.sin(stateArr[i, 7]) +
163 | mea_temp[2] * np.cos(stateArr[i, 6]) * np.sin(stateArr[i, 7]))
164 | if (mag_body1 != 0) and (mag_body2 != 0):
165 | estArr[i] = np.arctan2(-mag_body1, mag_body2) + 90 * D2R - 16 * D2R
166 |
167 | print((estArr[100] - stateArr[100, 9]) / D2R)
168 | import matplotlib.pyplot as plt
169 | plt.figure(3)
170 | plt.plot(t, stateArr[:, 8] / D2R, '-b', label='real')
171 | plt.plot(t, estArr / D2R, '-g', label='mea')
172 | plt.show()
173 | # plt.plot(t, flagArr * 100, '-r', label='update flag')
174 |
--------------------------------------------------------------------------------
/SensorGps.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """Implement the sensor details about Gps
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 21 22:59 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | from SensorBase import SensorBase, SensorType
30 | import queue
31 |
32 | """
33 | ********************************************************************************************************
34 | **-------------------------------------------------------------------------------------------------------
35 | ** Compiler : python 3.6
36 | ** Module Name: SensorGps
37 | ** Module Date: 2019/6/21
38 | ** Module Auth: xiaobo
39 | ** Version : V0.1
40 | ** Description: 'Replace the content between'
41 | **-------------------------------------------------------------------------------------------------------
42 | ** Reversion :
43 | ** Modified By:
44 | ** Date :
45 | ** Content :
46 | ** Notes :
47 | ********************************************************************************************************/
48 | """
49 |
50 |
51 | class GpsPara(object):
52 | def __init__(self, max_update_frequency=10, start_delay=1, latency=0.2, name="gps",
53 | accuracy_horizontal=2.5):
54 | """
55 | :param max_update_frequency: max-update-frequency supported, Hz
56 | :param start_delay: the sensor start after this time, s
57 | :param latency: the state captured is indeed the state before, s
58 | :param name: the name of sensor,
59 | :param accuracy_horizontal: the accuracy, m
60 | """
61 | self.minTs = 1 / max_update_frequency
62 | self.name = name
63 | self.startDelay = start_delay
64 | # important, the latency is assumed to be larger than minTs
65 | self.latency = latency
66 | self.accuracyHorizon = accuracy_horizontal
67 |
68 |
69 | class SensorGps(SensorBase):
70 | def __init__(self, para=GpsPara()):
71 | SensorBase.__init__(self)
72 | self.sensorType = SensorType.gps
73 | self.para = para
74 | self._posMea = np.zeros(3)
75 | # the history data is used to implement the latency
76 | self._posHisReal = queue.Queue()
77 |
78 | def observe(self):
79 | """return the sensor data"""
80 | return self._isUpdated, self._posMea
81 |
82 | def update(self, real_state, ts):
83 | """Calculating the output data of sensor according to real state of vehicle,
84 | the difference between update and get_data is that this method will be called when system update,
85 | but the get_data is called when user need the sensor data.
86 | the real_state here should be a 12 degree vector,
87 | :param real_state:
88 | 0 1 2 3 4 5
89 | p_x p_y p_z v_x v_y v_z
90 | 6 7 8 9 10 11
91 | roll pitch yaw v_roll v_pitch v_yaw
92 | :param ts: system tick now
93 | """
94 | # process the latency
95 | real_state_latency = np.zeros(3)
96 | if ts < self.para.latency:
97 | self._posHisReal.put(real_state)
98 | else:
99 | self._posHisReal.put(real_state)
100 | real_state_latency = self._posHisReal.get()
101 |
102 | # process the star_time
103 | if ts < self.para.startDelay:
104 | self._posMea = np.zeros(3)
105 | self._isUpdated = False
106 | else:
107 | # process the update period
108 | if (ts - self._lastTick) >= self.para.minTs:
109 | self._isUpdated = True
110 | self._lastTick = ts
111 | else:
112 | self._isUpdated = False
113 |
114 | if self._isUpdated:
115 | noise_gps = (1 * np.random.random(3) - 0.5) * self.para.accuracyHorizon
116 | self._posMea = real_state_latency[0:3] + noise_gps
117 | else:
118 | # keep old
119 | pass
120 |
121 | return self.observe()
122 |
123 | def reset(self, real_state):
124 | """reset the sensor"""
125 | self._lastTick = 0
126 | self._posMea = np.zeros(3)
127 | if not self._posHisReal.empty():
128 | self._posHisReal.queue.clear()
129 |
130 | def get_name(self):
131 | """get the name of sensor, format: type:model-no"""
132 | return self.para.name
133 |
134 |
135 | if __name__ == '__main__':
136 | " used for testing this module"
137 | testFlag = 1
138 | if testFlag == 1:
139 | s1 = SensorGps()
140 | t1 = np.arange(0, 5, 0.01)
141 | nums = len(t1)
142 | vel = np.sin(t1)
143 | pos = np.zeros([nums, 3])
144 | posMea = np.zeros([nums, 3])
145 | flagArr = np.zeros([nums, 3])
146 | for ii in range(nums):
147 | if ii > 0:
148 | pos[ii] = pos[ii - 1] + vel[ii]
149 |
150 | for ii in range(nums):
151 | flagArr[ii], posMea[ii] = s1.update(np.hstack([pos[ii], np.zeros(9)]), t1[ii])
152 |
153 | import matplotlib.pyplot as plt
154 | plt.figure(1)
155 | plt.plot(t1, pos, '-b', label='real')
156 | plt.plot(t1, posMea, '-g', label='measure')
157 | plt.plot(t1, flagArr * 100, '-r', label='update flag')
158 | plt.legend()
159 | plt.show()
160 |
--------------------------------------------------------------------------------
/SensorImu.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """Implement the sensor details about imu
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 21 10:33 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | # import QuadrotorFly.SensorBase as SensorBase
30 | from SensorBase import SensorBase, SensorType
31 | import CommonFunctions as Cf
32 |
33 | """
34 | ********************************************************************************************************
35 | **-------------------------------------------------------------------------------------------------------
36 | ** Compiler : python 3.6
37 | ** Module Name: SensorImu
38 | ** Module Date: 2019/6/21
39 | ** Module Auth: xiaobo
40 | ** Version : V0.1
41 | ** Description: this module referenced the source of sensor part in AirSim, data sheet of mpu6050
42 | **-------------------------------------------------------------------------------------------------------
43 | ** Reversion :
44 | ** Modified By:
45 | ** Date :
46 | ** Content :
47 | ** Notes :
48 | ********************************************************************************************************/
49 | """
50 |
51 | D2R = Cf.D2R
52 | g = 9.8
53 |
54 |
55 | class ImuPara(object):
56 | def __init__(self, gyro_zro_tolerance_init=5, gyro_zro_var=30, gyro_noise_sd=0.01, min_time_sample=0.01,
57 | acc_zgo_tolerance=60, acc_zg_var_temp=1.5, acc_noise_sd=300, name='imu'
58 | ):
59 | """
60 | zro is zero rate output, sd is spectral density, zgo is zero g output
61 | :param gyro_zro_tolerance_init: the zero-bias of gyro, \deg/s
62 | :param gyro_zro_var: the noise variation in normal temperature, \deg/s
63 | :param gyro_noise_sd: the rate noise spectral density, \deg/s/\sqrt(Hz)
64 | :param acc_zgo_tolerance: the zeros of acc, mg
65 | :param acc_zg_var_temp: the noise variation vs temperature (-40~85), mg/(\degC)
66 | :param acc_noise_sd: the rate noise spectral density, mg\sqrt(Hz)
67 | :param name: the name of sensor
68 | :param min_time_sample: min sample time
69 | """
70 | # transfer the unit for general define
71 | # transfer to \rad/s
72 | self.gyroZroToleranceInit = gyro_zro_tolerance_init * D2R
73 | self.gyroZroVar = gyro_zro_var * (D2R**2)
74 | self.gyroNoiseSd = gyro_noise_sd # i do not understand it, in fact
75 | # transfer to m/(s^2)
76 | self.accZroToleranceInit = acc_zgo_tolerance / 1000 * g
77 | std_temp = 1 / 1000 * g * 60 # assumed the temperature is 20 (\degC) here
78 | self.accZroVar = acc_zg_var_temp * (std_temp**2)
79 | self.accNoiseSd = acc_noise_sd # i do not understand it, in fact
80 | self.name = name
81 | self.minTs = min_time_sample
82 |
83 |
84 | mpu6050 = ImuPara(5, 30, 0.01)
85 |
86 |
87 | class SensorImu(SensorBase):
88 |
89 | def __init__(self, imu_para=mpu6050):
90 | """
91 | :param imu_para:
92 | """
93 | SensorBase.__init__(self)
94 | self.para = imu_para
95 | self.sensorType = SensorType.imu
96 | self.angularMea = np.zeros(3)
97 | self.gyroBias = (1 * np.random.random(3) - 0.5) * self.para.gyroZroToleranceInit
98 | self.accMea = np.zeros(3)
99 | self.accBias = (1 * np.random.random(3) - 0.5) * self.para.accZroToleranceInit
100 |
101 | def observe(self):
102 | """return the sensor data"""
103 | return self._isUpdated, np.hstack([self.accMea, self.angularMea])
104 |
105 | def update(self, real_state, ts):
106 | """Calculating the output data of sensor according to real state of vehicle,
107 | the difference between update and get_data is that this method will be called when system update,
108 | but the get_data is called when user need the sensor data.
109 | the real_state here should be a 12 degree vector,
110 | :param real_state:
111 | 0 1 2 3 4 5
112 | p_x p_y p_z v_x v_y v_z
113 | 6 7 8 9 10 11 12 13 14
114 | roll pitch yaw v_roll v_pitch v_yaw a_x a_y a_z
115 | :param ts: system tick now
116 | """
117 |
118 | # process the update period
119 | if (ts - self._lastTick) >= self.para.minTs:
120 | self._isUpdated = True
121 | self._lastTick = ts
122 | else:
123 | self._isUpdated = False
124 |
125 | if self._isUpdated:
126 | # gyro
127 | noise_gyro = (1 * np.random.random(3) - 0.5) * np.sqrt(self.para.gyroZroVar)
128 | self.angularMea = real_state[9:12] + noise_gyro + self.gyroBias
129 |
130 | # accelerator
131 | acc_world = real_state[12:15] * 0.2 + np.array([0, 0, -g])
132 | # acc_world = np.array([0, 0, -g])
133 | rot_matrix = Cf.get_rotation_inv_matrix(real_state[6:9])
134 | acc_body = np.dot(rot_matrix, acc_world)
135 | noise_acc = (1 * np.random.random(3) - 0.5) * np.sqrt(self.para.gyroZroVar)
136 | # print(real_state[12:15], acc_body)
137 | self.accMea = acc_body + noise_acc + self.accBias
138 | else:
139 | # keep old
140 | pass
141 |
142 | return self.observe()
143 |
144 | def reset(self, real_state):
145 | """reset the sensor"""
146 | self._lastTick = 0
147 |
148 | def get_name(self):
149 | """get the name of sensor, format: type:model-no"""
150 | return self.para.name
151 |
152 |
153 | if __name__ == '__main__':
154 | " used for testing this module"
155 | testFlag = 2
156 | if testFlag == 1:
157 | s1 = SensorImu()
158 | flag1, v1 = s1.update(np.random.random(12), 0.1)
159 | flag2, v2 = s1.update(np.random.random(12), 0.105)
160 | print(flag1, "val", v1, flag2, "val", v2)
161 |
162 | elif testFlag == 2:
163 | from QuadrotorFly import QuadrotorFlyModel as Qfm
164 | q1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.fixed,
165 | init_att=np.array([15, -20, 5])))
166 | s1 = SensorImu()
167 | t = np.arange(0, 10, 0.01)
168 | ii_len = len(t)
169 | stateArr = np.zeros([ii_len, 12])
170 | meaArr = np.zeros([ii_len, 6])
171 | for ii in range(ii_len):
172 | state = q1.observe()
173 | action, oil = q1.get_controller_pid(state)
174 | q1.step(action)
175 |
176 | flag, meaArr[ii] = s1.update(np.hstack([state, q1.acc]), q1.ts)
177 | stateArr[ii] = state
178 |
179 | estArr = np.zeros([ii_len, 3])
180 | estArrAcc = np.zeros([ii_len, 3])
181 | for ii in range(ii_len):
182 | if ii > 0:
183 | angle_dot = (meaArr[ii, 3:6] - s1.gyroBias) * q1.uavPara.ts
184 | estArr[ii] = estArr[ii - 1] + angle_dot
185 | meaAccTemp = meaArr[ii, 0:3] - s1.accBias
186 | acc_sum1 = np.sqrt(np.square(meaAccTemp[1]) + np.square(meaAccTemp[2]))
187 | acc_sum2 = np.sqrt(np.square(meaAccTemp[0]) + np.square(meaAccTemp[2]))
188 | estArrAcc[ii, 0] = -np.arctan2(meaAccTemp[0], acc_sum1)
189 | estArrAcc[ii, 1] = np.arctan2(meaAccTemp[1], acc_sum2)
190 |
191 | import matplotlib.pyplot as plt
192 | # plt.figure(1)
193 | for ii in range(3):
194 | plt.subplot(3, 1, ii + 1)
195 | plt.plot(t, stateArr[:, 6 + ii] / D2R, '-b', label='real')
196 | plt.plot(t, estArr[:, ii] / D2R, '-g', label='gyro angle')
197 | plt.plot(t, estArrAcc[:, ii] / D2R, '-m', label='acc angle')
198 | plt.show()
199 | # plt.figure(2)
200 | # plt.plot(t, stateArr[:, 3:6], '-b', label='real')
201 | # plt.plot(t, meaArr[:, 0:3], '-g', label='measure')
202 | # plt.show()
203 | # plt.plot(t, flagArr * 100, '-r', label='update flag')
204 |
--------------------------------------------------------------------------------
/StateEstimator.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """This module is design a state estimator for quadrotor according the data from sensors
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 24 19:17 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 | import abc
31 | import CommonFunctions as Cf
32 |
33 | """
34 | ********************************************************************************************************
35 | **-------------------------------------------------------------------------------------------------------
36 | ** Compiler : python 3.6
37 | ** Module Name: StateEstimator
38 | ** Module Date: 2019/6/24
39 | ** Module Auth: xiaobo
40 | ** Version : V0.1
41 | ** Description: 'Replace the content between'
42 | **-------------------------------------------------------------------------------------------------------
43 | ** Reversion :
44 | ** Modified By:
45 | ** Date :
46 | ** Content :
47 | ** Notes :
48 | ********************************************************************************************************/
49 | """
50 |
51 |
52 | class StateEstimatorBase(object, metaclass=abc.ABCMeta):
53 | def __init__(self):
54 | super(StateEstimatorBase, self).__init__()
55 | self._name = "State estimator"
56 |
57 | def update(self, sensor_data, ts):
58 | """Calculating the output data of sensor according to real state of vehicle,
59 | the difference between update and get_data is that this method will be called when system update,
60 | but the get_data is called when user need the sensor data.
61 | :param sensor_data real system state from vehicle
62 | :param ts: the system tick
63 | """
64 | pass
65 |
66 | def reset(self, state_init):
67 | pass
68 |
69 | @property
70 | def name(self):
71 | return self._name
72 |
73 |
74 | class KalmanFilterSimple(StateEstimatorBase):
75 | def __init__(self):
76 | StateEstimatorBase.__init__(self)
77 | self.state = np.zeros(12)
78 | self.imuTickPre = 0
79 | self.gpsTickPre = 0
80 | self.magTickPre = 0
81 | self.gyroBias = np.zeros(3)
82 | self.accBias = np.zeros(3)
83 | self.magRef = np.zeros(3)
84 |
85 | def reset(self, state_init):
86 | self.state = state_init
87 |
88 | def update(self, sensor_data, ts):
89 | # print(sensor_data)
90 | # print(sensor_data['imu'])
91 | # print()
92 | data_imu = sensor_data['imu'][1]
93 | data_gps = sensor_data['gps'][1]
94 | data_mag = sensor_data['compass'][1]
95 |
96 | angle_mea = np.zeros(3)
97 | # pos_pct = np.zeros(3)
98 | # angle_pct = np.zeros(3)
99 | # pos_mea = np.zeros(3)
100 |
101 | if sensor_data['imu'][0]:
102 | period_temp = ts - self.imuTickPre
103 | self.imuTickPre = ts
104 |
105 | # attitude estimation
106 | angle_pct = self.state[6:9] + (data_imu[3:6] - self.gyroBias) * period_temp
107 |
108 | angle_acc = np.zeros(3)
109 | mea_acc_temp = data_imu[0:3] - self.accBias
110 | acc_sum1 = np.sqrt(np.square(mea_acc_temp[1]) + np.square(mea_acc_temp[2]))
111 | acc_sum2 = np.sqrt(np.square(mea_acc_temp[0]) + np.square(mea_acc_temp[2]))
112 | angle_acc[1] = np.arctan2(mea_acc_temp[0], acc_sum1)
113 | angle_acc[0] = -np.arctan2(mea_acc_temp[1], acc_sum2)
114 | angle_mea[0:2] = angle_pct[0:2] + 0.1 * (angle_acc[0:2] - angle_pct[0:2])
115 | self.state[6:8] = angle_mea[0:2]
116 | self.state[9:12] = data_imu[3:6]
117 | self.state[8] = angle_pct[2]
118 |
119 | # velocity estimation
120 | rot_matrix = Cf.get_rotation_inv_matrix(self.state[6:9])
121 | acc_ext = np.dot(rot_matrix, mea_acc_temp) + np.array([0, 0, 9.8])
122 | # print(acc_ext, mea_acc_temp)
123 | acc_ext[2] = mea_acc_temp[2] / np.cos(self.state[6]) / np.cos(self.state[7]) + 9.8
124 | self.state[3:5] = self.state[3:5] + acc_ext[0:2] * period_temp * 0.5
125 | self.state[0:2] = self.state[0:2] + self.state[3:5] * period_temp * 0.5
126 | self.state[5] = self.state[5] + acc_ext[2] * period_temp * 5
127 | self.state[2] = self.state[2] + self.state[5] * period_temp
128 |
129 | if sensor_data['compass'][0]:
130 | roll_cos = np.cos(self.state[6])
131 | roll_sin = np.sin(self.state[6])
132 | pitch_cos = np.cos(self.state[7])
133 | pitch_sin = np.sin(self.state[7])
134 | mag_body1 = data_mag[1] * roll_cos - data_mag[2] * roll_sin
135 | mag_body2 = (data_mag[0] * pitch_cos +
136 | data_mag[1] * roll_sin * pitch_sin +
137 | data_mag[2] * roll_cos * pitch_sin)
138 | if (mag_body1 != 0) and (mag_body2 != 0):
139 | angle_mag = np.arctan2(-mag_body1, mag_body2) + 90 * Cf.D2R - 16 * Cf.D2R
140 | angle_mea[2] = self.state[8] + 0.1 * (angle_mag - self.state[8])
141 | self.state[8] = angle_mea[2]
142 | # self.state[8] = angle_pct[2]
143 |
144 | if sensor_data['gps'][0]:
145 | period_temp = ts - self.gpsTickPre
146 | self.gpsTickPre = ts
147 |
148 | # position
149 | pos_pct = self.state[0:3] # + self.state[3:6] * period_temp # the predict has been done with acc
150 | pos_mea = pos_pct + 0.2 * (data_gps - pos_pct)
151 |
152 | # velocity
153 | vel_gps = (data_gps - self.state[0:3]) / period_temp
154 | vel_mea12 = self.state[3:5] + (pos_mea[0:2] - pos_pct[0:2]) * 0.1 + (vel_gps[0:2] - self.state[3:5]) * 0.00
155 | vel_mea3 = self.state[5] + (pos_mea[2] - pos_pct[2]) * 0.1 + (vel_gps[2] - self.state[5]) * 0.003
156 |
157 | self.state[0:3] = pos_mea[0:3]
158 | self.state[3:6] = np.hstack([vel_mea12, vel_mea3])
159 |
160 | return self.state
161 |
162 |
163 | if __name__ == '__main__':
164 | " used for testing this module"
165 | D2R = Cf.D2R
166 | testFlag = 1
167 | if testFlag == 1:
168 | # from QuadrotorFly import QuadrotorFlyModel as Qfm
169 | q1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.fixed, enable_sensor_sys=True,
170 | init_pos=np.array([5, -4, 0]), init_att=np.array([0, 0, 5])))
171 | # init the estimator
172 | s1 = KalmanFilterSimple()
173 | # set the init state of estimator
174 | s1.reset(q1.state)
175 | # simulation period
176 | t = np.arange(0, 30, 0.01)
177 | ii_len = len(t)
178 | stateRealArr = np.zeros([ii_len, 12])
179 | stateEstArr = np.zeros([ii_len, 12])
180 | meaArr = np.zeros([ii_len, 3])
181 |
182 | # set the bias
183 | s1.gyroBias = q1.imu0.gyroBias
184 | s1.accBias = q1.imu0.accBias
185 | s1.magRef = q1.mag0.para.refField
186 | print(s1.gyroBias, s1.accBias)
187 |
188 | for ii in range(ii_len):
189 | # wait for start
190 | if ii < 100:
191 | sensor_data1 = q1.observe()
192 | _, oil = q1.get_controller_pid(q1.state)
193 | action = np.ones(4) * oil
194 | q1.step(action)
195 | stateEstArr[ii] = s1.update(sensor_data1, q1.ts)
196 | stateRealArr[ii] = q1.state
197 | else:
198 | sensor_data1 = q1.observe()
199 | action, oil = q1.get_controller_pid(s1.state, np.array([0, 0, 4, 0]))
200 | q1.step(action)
201 | stateEstArr[ii] = s1.update(sensor_data1, q1.ts)
202 | stateRealArr[ii] = q1.state
203 | import matplotlib.pyplot as plt
204 | plt.figure(1)
205 | ylabelList = ['roll', 'pitch', 'yaw', 'rate_roll', 'rate_pit', 'rate_yaw']
206 | for ii in range(6):
207 | plt.subplot(6, 1, ii + 1)
208 | plt.plot(t, stateRealArr[:, 6 + ii] / D2R, '-b', label='real')
209 | plt.plot(t, stateEstArr[:, 6 + ii] / D2R, '-g', label='est')
210 | plt.legend()
211 | plt.ylabel(ylabelList[ii])
212 | # plt.show()
213 |
214 | ylabelList = ['p_x', 'p_y', 'p_z', 'vel_x', 'vel_y', 'vel_z']
215 | plt.figure(2)
216 | for ii in range(6):
217 | plt.subplot(6, 1, ii + 1)
218 | plt.plot(t, stateRealArr[:, ii], '-b', label='real')
219 | plt.plot(t, stateEstArr[:, ii], '-g', label='est')
220 | plt.legend()
221 | plt.ylabel(ylabelList[ii])
222 | plt.show()
223 |
224 |
--------------------------------------------------------------------------------
/Test/Test_full.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """a more completed test example for QuadrotorFly
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 五月 06 18:41 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of quadrotorfly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 | import QuadrotorFlyGui as Qfg
31 | import MemoryStore
32 | import matplotlib.pyplot as plt
33 |
34 |
35 | """
36 | ********************************************************************************************************
37 | **-------------------------------------------------------------------------------------------------------
38 | ** Compiler : python 3.6
39 | ** Module Name: Test_full
40 | ** Module Date: 2019/5/6
41 | ** Module Auth: xiaobo
42 | ** Version : V0.1
43 | ** Description: 'Replace the content between'
44 | **-------------------------------------------------------------------------------------------------------
45 | ** Reversion :
46 | ** Modified By:
47 | ** Date :
48 | ** Content :
49 | ** Notes :
50 | ********************************************************************************************************/
51 | """
52 | # 角度到弧度的转换
53 | D2R = Qfm.D2R
54 | # 仿真参数设置
55 | simPara = Qfm.QuadSimOpt(
56 | # 初值重置方式(随机或者固定);姿态初值参数(随机就是上限,固定就是设定值);位置初值参数(同上)
57 | init_mode=Qfm.SimInitType.rand, init_att=np.array([5., 5., 5.]), init_pos=np.array([1., 1., 1.]),
58 | # 仿真运行的最大位置,最大速度,最大姿态角(角度,不是弧度注意),最大角速度(角度每秒)
59 | max_position=8, max_velocity=8, max_attitude=180, max_angular=200,
60 | # 系统噪声,分别在位置环和速度环
61 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
62 | #执行器模式,简单模式没有电机动力学,
63 | actuator_mode=Qfm.ActuatorMode.dynamic
64 | )
65 | # 无人机参数设置,可以为不同的无人机设置不同的参数
66 | uavPara = Qfm.QuadParas(
67 | # 重力加速度;采样时间;机型plus或者x
68 | g=9.8, tim_sample=0.01, structure_type=Qfm.StructureType.quad_plus,
69 | # 无人机臂长(米);质量(千克);飞机绕三个轴的转动惯量(千克·平方米)
70 | uav_l=0.45, uav_m=1.5, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
71 | # 螺旋桨推力系数(牛每平方(弧度每秒)),螺旋桨扭力系数(牛·米每平方(弧度每秒)),旋翼转动惯量,
72 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_i=9.9e-5,
73 | # 电机转速比例参数(度每秒),电机转速偏置参数(度每秒),电机相应时间(秒)
74 | rotor_cr=646, rotor_wb=166, rotor_t=1.36e-2
75 | )
76 | # 使用参数新建无人机
77 | quad1 = Qfm.QuadModel(uavPara, simPara)
78 |
79 | # 初始化GUI,并添加无人机
80 | gui = Qfg.QuadrotorFlyGui([quad1])
81 |
82 | # 初始化记录器,用于记录飞行数据
83 | record = MemoryStore.DataRecord()
84 |
85 | # 重置系统
86 | # 当需要跑多次重复实验时注意重置系统,
87 | quad1.reset_states()
88 | record.clear()
89 |
90 | # 仿真过程
91 | print("Simplest simulation begin!")
92 | for i in range(1000):
93 | # 模型更新
94 | # 设置目标
95 | ref = np.array([0., 0., 1., 0.])
96 | # 获取无人机的状态,共12维的向量
97 | # 分别是,xyz位置,xyz速度,roll pitch yaw姿态角,roll pitch yaw 角速度
98 | stateTemp = quad1.observe()
99 | # 通过无人机状态计算控制量,这也是自行设计控制器应修改的地方
100 | # 这是一个内置的控制器,返回值是给各个电机的控制量即油门的大小
101 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
102 | # 使用控制量更新无人机,控制量是4维向量,范围0-1
103 | quad1.step(action2)
104 |
105 | # 记录数据
106 | record.buffer_append((stateTemp, action2))
107 |
108 | # 渲染GUI
109 | gui.render()
110 |
111 | record.episode_append()
112 | # 输出结果
113 | ## 获取记录中的状态
114 | data = record.get_episode_buffer()
115 | bs = data[0]
116 | ## 获取记录中的控制量
117 | ba = data[1]
118 | ## 生成时间序列
119 | t = range(0, record.count)
120 | ## 画图
121 | fig1 = plt.figure(2)
122 | plt.clf()
123 | ## 姿态图
124 | plt.subplot(3, 1, 1)
125 | plt.plot(t, bs[t, 6] / D2R, label='roll')
126 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
127 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
128 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
129 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
130 | ## 位置图(xy)
131 | plt.subplot(3, 1, 2)
132 | plt.plot(t, bs[t, 0], label='x')
133 | plt.plot(t, bs[t, 1], label='y')
134 | plt.ylabel('Position (m)', fontsize=15)
135 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
136 | ## 高度图
137 | plt.subplot(3, 1, 3)
138 | plt.plot(t, bs[t, 2], label='z')
139 | plt.ylabel('Altitude (m)', fontsize=15)
140 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
141 | plt.show()
142 | print("Simulation finish!")
143 |
--------------------------------------------------------------------------------
/Test/Test_fullWithCamdown.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """a more completed test example for QuadrotorFly with camdown module
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 十二月 07 13:03 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 | import QuadrotorFlyGui as Qfg
31 | import MemoryStore
32 | import matplotlib.pyplot as plt
33 | import CamDown
34 | import os
35 | import cv2
36 | import time
37 |
38 | """
39 | ********************************************************************************************************
40 | **-------------------------------------------------------------------------------------------------------
41 | ** Compiler : python 3.6
42 | ** Module Name: Test_fullWithCamdown
43 | ** Module Date: 2019/12/7
44 | ** Module Auth: xiaobo
45 | ** Version : V0.1
46 | ** Description: 'Replace the content between'
47 | **-------------------------------------------------------------------------------------------------------
48 | ** Reversion :
49 | ** Modified By:
50 | ** Date :
51 | ** Content :
52 | ** Notes :
53 | ********************************************************************************************************/
54 | """
55 |
56 | # translate degree to rad
57 | D2R = Qfm.D2R
58 | # set the simulation para
59 | simPara = Qfm.QuadSimOpt(
60 | # initial mode(random or fixed, default is random);init para for attitude(bound in random mode,
61 | # direct value in fixed mode);init papa for position (like init_att)
62 | init_mode=Qfm.SimInitType.rand, init_att=np.array([5., 5., 5.]), init_pos=np.array([1., 1., 1.]),
63 | # max position(unit is m), max velocity(unit is m/s), max attitude(unit is degree), max angular(unit is deg/s)
64 | max_position=8, max_velocity=8, max_attitude=180, max_angular=200,
65 | # system noise (internal noisy, default is 0)
66 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
67 | # mode for actuator(motor) (with dynamic or not), enable the sensor system (default is false)
68 | actuator_mode=Qfm.ActuatorMode.dynamic, enable_sensor_sys=False,
69 | )
70 | # set the para for quadrotor
71 | uavPara = Qfm.QuadParas(
72 | # gravity accelerate;sample period;frame type (plus or x)
73 | g=9.8, tim_sample=0.01, structure_type=Qfm.StructureType.quad_plus,
74 | # length of arm(m);mass(kg);the moment of inertia around xyz(kg·m^2)
75 | uav_l=0.45, uav_m=1.5, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
76 | # para from motor speed to thrust (N/(rad/s)), papa from motor speed to torque (N ·m/(rad/s)), MoI of motor
77 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_i=9.9e-5,
78 | # proportional parameter from u to motor speed (deg/s), bias parameters from u to motor (deg/s), response time
79 | rotor_cr=646, rotor_wb=166, rotor_t=1.36e-2
80 | )
81 |
82 | # all above is the default parameters expect the enable_sensor_sys
83 | # crete the UAV with set parameters
84 | quad1 = Qfm.QuadModel(uav_para=uavPara, sim_para=simPara)
85 |
86 | # create the UAV camdown object
87 | cam1 = CamDown.CamDown(
88 | # the resolution and depth (RGB is 3, gray is 1) of the the sensor
89 | img_horizon=400, img_vertical=400, img_depth=3,
90 | # the physical size of the active area of the sensor (unit is mm), the focal of the lens (unit is mm)
91 | sensor_horizon=4., sensor_vertical=4., cam_focal=2.36,
92 | # the path of the ground image, used in MEM render mode, doesn't need in other mode
93 | ground_img_path='../Data/groundImgWood.jpg',
94 | # the path of the mapping image, used in other render mode except MEM
95 | small_ground_img_path='../Data/groundImgSmall.jpg',
96 | # the path of the mapping image(in the center), used in other render mode except MEM
97 | small_land_img_path='../Data/landingMark.jpg',
98 | # render mode, could be Render_Mode_Gpu, Render_Mode_Cpu, Render_Mode_Mem, GPU mode is recommended
99 | render_mode=CamDown.CamDownPara.Render_Mode_Gpu)
100 | # load ground image
101 | cam1.load_ground_img()
102 |
103 | # create path for video store
104 | if not os.path.exists('../Data/img'):
105 | os.mkdir('../Data/img')
106 | v_format = cv2.VideoWriter_fourcc(*'MJPG')
107 | out1 = cv2.VideoWriter('../Data/img/test.avi', v_format, 1 / quad1.uavPara.ts, (cam1.imgVertical, cam1.imgHorizon))
108 |
109 | # create the gui with created UAV
110 | gui = Qfg.QuadrotorFlyGui([quad1])
111 |
112 | # crate the record, used to record the data between UAV fly
113 | record = MemoryStore.DataRecord()
114 |
115 | # reset the system
116 | quad1.reset_states()
117 | record.clear()
118 |
119 | t = np.arange(0, 15, 0.01)
120 | ii_len = len(t)
121 |
122 | print('Camera module test begin:')
123 | time_start = time.time()
124 | # simulation process
125 | for ii in range(ii_len):
126 | # get the state of the quadrotor
127 | stateTemp = quad1.observe()
128 | # calculate image according the state
129 | pos_0 = quad1.position * 1000
130 | att_0 = quad1.attitude
131 | img1 = cam1.get_img_by_state(pos_0, att_0)
132 |
133 | # calculate the control value
134 | action, oil = quad1.get_controller_pid(stateTemp, np.array([0, 0, 3, 0]))
135 | # execute the dynamic of quadrotor
136 | quad1.step(action)
137 | print('action:', action)
138 |
139 | # store the real state and the estimated state
140 | record.buffer_append((stateTemp, action))
141 | # write the video steam
142 | out1.write(img1)
143 | gui.render()
144 | out1.release()
145 | # gui.render()
146 | time_end = time.time()
147 | print('time cost:', str(time_end - time_start))
148 | record.episode_append()
149 |
150 | # output the result
151 | # 1. get data form record
152 | data = record.get_episode_buffer()
153 | # 1.1 get the state
154 | bs = data[0]
155 | # 1.2 get the action
156 | ba = data[1]
157 |
158 | # 2. plot result
159 | t = range(0, record.count)
160 | fig1 = plt.figure(2)
161 | plt.clf()
162 | # 2.1 figure attitude
163 | plt.subplot(3, 1, 1)
164 | plt.plot(t, bs[t, 6] / D2R, label='roll')
165 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
166 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
167 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
168 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
169 | # 2.2 figure position
170 | plt.subplot(3, 1, 2)
171 | plt.plot(t, bs[t, 0], label='x')
172 | plt.plot(t, bs[t, 1], label='y')
173 | plt.ylabel('Position (m)', fontsize=15)
174 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
175 | # 2.3 figure position
176 | plt.subplot(3, 1, 3)
177 | plt.plot(t, bs[t, 2], label='z')
178 | plt.ylabel('Altitude (m)', fontsize=15)
179 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
180 | plt.show()
181 | print("Simulation finish!")
182 | print('Saved video is under the ../Data/img/test.mp4')
183 |
--------------------------------------------------------------------------------
/Test/Test_fullWithSensor.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """a more completed test example with sensor system for QuadrotorFly
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 六月 29 21:26 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 | import QuadrotorFlyGui as Qfg
31 | import MemoryStore
32 | import matplotlib.pyplot as plt
33 | import StateEstimator
34 |
35 | """
36 | ********************************************************************************************************
37 | **-------------------------------------------------------------------------------------------------------
38 | ** Compiler : python 3.6
39 | ** Module Name: Test_fullWithSensor
40 | ** Module Date: 2019/6/29
41 | ** Module Auth: xiaobo
42 | ** Version : V0.1
43 | ** Description: 'Replace the content between'
44 | **-------------------------------------------------------------------------------------------------------
45 | ** Reversion :
46 | ** Modified By:
47 | ** Date :
48 | ** Content :
49 | ** Notes :
50 | ********************************************************************************************************/
51 | """
52 |
53 | # translate degree to rad
54 | D2R = Qfm.D2R
55 | # set the simulation para
56 | simPara = Qfm.QuadSimOpt(
57 | # initial mode(random or fixed, default is random);init para for attitude(bound in random mode,
58 | # direct value in fixed mode);init papa for position (like init_att)
59 | init_mode=Qfm.SimInitType.rand, init_att=np.array([5., 5., 5.]), init_pos=np.array([1., 1., 1.]),
60 | # max position(unit is m), max velocity(unit is m/s), max attitude(unit is degree), max angular(unit is deg/s)
61 | max_position=8, max_velocity=8, max_attitude=180, max_angular=200,
62 | # system noise (internal noisy, default is 0)
63 | sysnoise_bound_pos=0, sysnoise_bound_att=0,
64 | # mode for actuator(motor) (with dynamic or not), enable the sensor system (default is false)
65 | actuator_mode=Qfm.ActuatorMode.dynamic, enable_sensor_sys=True,
66 | )
67 | # set the para for quadrotor
68 | uavPara = Qfm.QuadParas(
69 | # gravity accelerate;sample period;frame type (plus or x)
70 | g=9.8, tim_sample=0.01, structure_type=Qfm.StructureType.quad_plus,
71 | # length of arm(m);mass(kg);the moment of inertia around xyz(kg·m^2)
72 | uav_l=0.45, uav_m=1.5, uav_ixx=1.75e-2, uav_iyy=1.75e-2, uav_izz=3.18e-2,
73 | # para from motor speed to thrust (N/(rad/s)), papa from motor speed to torque (N ·m/(rad/s)), MoI of motor
74 | rotor_ct=1.11e-5, rotor_cm=1.49e-7, rotor_i=9.9e-5,
75 | # proportional parameter from u to motor speed (deg/s), bias parameters from u to motor (deg/s), response time
76 | rotor_cr=646, rotor_wb=166, rotor_t=1.36e-2
77 | )
78 |
79 | # all above is the default parameters expect the enable_sensor_sys
80 | # crete the UAV with set parameters
81 | # quad1 = Qfm.QuadModel(uavPara, simPara)
82 | quad1 = Qfm.QuadModel(Qfm.QuadParas(), Qfm.QuadSimOpt(init_mode=Qfm.SimInitType.fixed, enable_sensor_sys=True,
83 | init_pos=np.array([5, -3, 0]), init_att=np.array([0, 0, 5])))
84 | # create the estimator
85 | filter1 = StateEstimator.KalmanFilterSimple()
86 |
87 | # create the gui with created UAV
88 | gui = Qfg.QuadrotorFlyGui([quad1])
89 |
90 | # crate the record, used to record the data between UAV fly
91 | record = MemoryStore.DataRecord()
92 |
93 | # reset the system
94 | quad1.reset_states()
95 | record.clear()
96 | filter1.reset(quad1.state)
97 |
98 | # set the real bias for filter directly, it is not real in fact, just a simplify
99 | filter1.gyroBias = quad1.imu0.gyroBias
100 | filter1.accBias = quad1.imu0.accBias
101 | print(filter1.gyroBias, filter1.accBias)
102 |
103 | t = np.arange(0, 30, 0.01)
104 | ii_len = len(t)
105 |
106 | # simulation process
107 | for ii in range(ii_len):
108 | # wait for sensor start
109 | if ii < 100:
110 | # get the sensor data
111 | sensor_data1 = quad1.observe()
112 | # the control value is calculated with real state before the sensor start completely
113 | _, oil = quad1.get_controller_pid(quad1.state)
114 | # just use the oil signal as control value
115 | action = np.ones(4) * oil
116 | # execute the dynamic of quadrotor
117 | quad1.step(action)
118 | # feed the filter with sensor data which will will return the estimated state
119 | state_est = filter1.update(sensor_data1, quad1.ts)
120 | # store the real state and the estimated state
121 | record.buffer_append((quad1.state, state_est))
122 | # stateEstArr[ii] = filter1.update(sensor_data1, quad1.ts)
123 | # stateRealArr[ii] = quad1.state
124 | else:
125 | # get the sensor data
126 | sensor_data1 = quad1.observe()
127 | # calculate the system state based on the state estimated by kalman filter, not the real state
128 | action, oil = quad1.get_controller_pid(filter1.state, np.array([0, 0, 2, 0]))
129 | # execute the dynamic of quadrotor
130 | quad1.step(action)
131 | # feed the filter with sensor data which will will return the estimated state
132 | state_est = filter1.update(sensor_data1, quad1.ts)
133 | # print(state_est)
134 | # store the real state and the estimated state
135 | record.buffer_append((quad1.state, state_est.copy()))
136 | # stateEstArr[ii] = filter1.update(sensor_data1, quad1.ts)
137 | # stateRealArr[ii] = q1.state
138 | # gui.render()
139 |
140 | record.episode_append()
141 | # output the result
142 | # 1. get data form record
143 | data = record.get_episode_buffer()
144 | # 1.1 the real state
145 | bs_r = data[0]
146 | # 1.2 the estimated state
147 | bs_e = data[1]
148 | # 2. generate the time sequence
149 | t = range(0, record.count)
150 | # 3. draw figure
151 | # 3.1 draw the attitude and angular
152 | fig1 = plt.figure(2)
153 | yLabelList = ['roll', 'pitch', 'yaw', 'rate_roll', 'rate_pit', 'rate_yaw']
154 | for ii in range(6):
155 | plt.subplot(6, 1, ii + 1)
156 | plt.plot(t, bs_r[:, 6 + ii] / D2R, '-b', label='real')
157 | plt.plot(t, bs_e[:, 6 + ii] / D2R, '-g', label='est')
158 | plt.legend()
159 | plt.ylabel(yLabelList[ii])
160 |
161 | # 3.2 draw the position and velocity
162 | yLabelList = ['p_x', 'p_y', 'p_z', 'vel_x', 'vel_y', 'vel_z']
163 | plt.figure(3)
164 | for ii in range(6):
165 | plt.subplot(6, 1, ii + 1)
166 | plt.plot(t, bs_r[:, ii], '-b', label='real')
167 | plt.plot(t, bs_e[:, ii], '-g', label='est')
168 | plt.legend()
169 | plt.ylabel(yLabelList[ii])
170 | plt.show()
171 | print("Simulation finish!")
172 |
--------------------------------------------------------------------------------
/Test/Test_simple.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python3
2 | # -*- coding: utf-8 -*-
3 | """The simplest test example
4 |
5 | By xiaobo
6 | Contact linxiaobo110@gmail.com
7 | Created on 五月 06 17:34 2019
8 | """
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of quadrotorfly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 |
28 | import numpy as np
29 | import QuadrotorFlyModel as Qfm
30 |
31 | """
32 | ********************************************************************************************************
33 | **-------------------------------------------------------------------------------------------------------
34 | ** Compiler : python 3.6
35 | ** Module Name: Test_simple
36 | ** Module Date: 2019/5/6
37 | ** Module Auth: xiaobo
38 | ** Version : V0.1
39 | ** Description: 'Replace the content between'
40 | **-------------------------------------------------------------------------------------------------------
41 | ** Reversion :
42 | ** Modified By:
43 | ** Date :
44 | ** Content :
45 | ** Notes :
46 | ********************************************************************************************************/
47 | """
48 |
49 |
50 | uavPara = Qfm.QuadParas()
51 | # define the simulation parameters
52 | simPara = Qfm.QuadSimOpt()
53 | # define the first uav
54 | quad1 = Qfm.QuadModel(uavPara, simPara)
55 |
56 | # simulation begin
57 | print("Simplest simulation begin!")
58 | for i in range(1000):
59 | # set target,i.e., position in x,y,z, and yaw
60 | ref = np.array([0., 0., 1., 0.])
61 | # acquire the state of quadrotor,
62 | # they are 12 degrees' vector,position in xyz,velocity in xyz,
63 | # roll pitch yaw, and angular in roll pitch yaw
64 | stateTemp = quad1.observe()
65 | # calculate the control value; this is a pid controller example
66 | action2, oil = quad1.get_controller_pid(stateTemp, ref)
67 | # update the uav
68 | quad1.step(action2)
69 |
70 | print("Simulation finish!")
71 |
--------------------------------------------------------------------------------
/UuvModel.py:
--------------------------------------------------------------------------------
1 | #!/usr/bin/env python
2 | # -*- encoding: utf-8 -*-
3 | '''
4 | @File : UuvModel.py
5 | @Time : Mon Aug 17 2020 10:15:02
6 | @Author : xiaobo
7 | @Contact : linxiaobo110@gmail.com
8 | '''
9 |
10 | # Copyright (C)
11 | #
12 | # This file is part of QuadrotorFly
13 | #
14 | # GWpy is free software: you can redistribute it and/or modify
15 | # it under the terms of the GNU General Public License as published by
16 | # the Free Software Foundation, either version 3 of the License, or
17 | # (at your option) any later version.
18 | #
19 | # GWpy is distributed in the hope that it will be useful,
20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of
21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 | # GNU General Public License for more details.
23 | #
24 | # You should have received a copy of the GNU General Public License
25 | # along with GWpy. If not, see .
26 |
27 | # here put the import lib
28 | import numpy as np
29 | import MemoryStore
30 | '''
31 | ********************************************************************************************************
32 | **-------------------------------------------------------------------------------------------------------
33 | ** Compiler : python 3.6
34 | ** Module Name: UuvModel.py
35 | ** Module Date: 2020-08-17
36 | ** Module Auth: xiaobo
37 | ** Version : V0.1
38 | ** Description: create the module
39 | **-------------------------------------------------------------------------------------------------------
40 | ** Reversion :
41 | ** Modified By:
42 | ** Date :
43 | ** Content :
44 | ** Notes :
45 | ********************************************************************************************************/
46 | '''
47 |
48 | # definition of key constant
49 | D2R = np.pi / 180
50 | state_dim = 12
51 | action_dim = 4
52 | state_bound = np.array([10, 10, 10, 5, 5, 5, 80 * D2R, 80 * D2R, 180 * D2R, 100 * D2R, 100 * D2R, 100 * D2R])
53 | action_bound = np.array([1, 1, 1, 1])
54 |
55 |
56 | def rk4(func, x0, action, h):
57 | """Runge Kutta 4 order update function
58 | :param func: system dynamic
59 | :param x0: system state
60 | :param action: control input
61 | :param h: time of sample
62 | :return: state of next time
63 | """
64 | k1 = func(x0, action)
65 | k2 = func(x0 + h * k1 / 2, action)
66 | k3 = func(x0 + h * k2 / 2, action)
67 | k4 = func(x0 + h * k3, action)
68 | # print(test)
69 | # print('rk4 debug: ', trans(k1), trans(k2), trans(k3), trans(k4))
70 | x1 = x0 + h * (k1 + 2 * k2 + 2 * k3 + k4) / 6
71 | return x1
72 |
73 | def trans(xx):
74 | s2 = np.zeros(12)
75 | s2[0:3] = xx[3:6]
76 | s2[3:6] = xx[9:12]
77 | s2[6:9] = xx[6:9]
78 | s2[9:12] = xx[0:3]
79 | return s2
80 |
81 |
82 | class UuvParas(object):
83 | """Define the parameters of quadrotor model
84 |
85 | """
86 |
87 | def __init__(self, g=9.8, tim_sample=0.01,
88 | uuv_b=14671, uuv_m=1840, uuv_dis_c=np.array([0.02, -0.005, 0.008]), uuv_j=np.array([289.3, 6771.8, 6771.8]), uuv_lu=1019.2, uuv_s=0.224, uuv_l=7.738,
89 | uuv_cx=0.141, uuv_mx_beta=0.00152, uuv_mx_dr=-0.000319, uuv_mx_dd=-0.0812, uuv_mx_wx=-0.0044, uuv_mx_wy=0.0008, uuv_mx_xp=0,
90 | uuv_cy_alfa=2.32, uuv_cy_de=0.51, uuv_cy_wz=1.17, uuv_my_beta=0.69, uuv_my_dr=-0.11, uuv_my_wx=0, uuv_my_wy=-0.61,
91 | uuv_cz_beta=-2.32, uuv_cz_dr=-0.2, uuv_cz_wy=-1.17, uuv_mz_alpha=0.69, uuv_mz_de=-0.28, uuv_mz_wz=-0.61,
92 | uuv_add_m_k11=0.0222, uuv_add_m_k22=1.1096, uuv_add_m_K44=0.1406, uuv_add_m_k55=3.8129, uuv_add_m_k26=-0.363):
93 | """init the quadrotor parameters
94 | These parameters are able to be estimation in web(https://flyeval.com/) if you do not have a real UAV.
95 | common parameters:
96 | -g : N/kg, acceleration gravity
97 | -tim_sample : s, sample time of system
98 | uuv:
99 | -uuv_b : N, floating force of uuv
100 | -uuv_m : kg, the mass of quadrotor
101 | -uuv_dis_c : m, distance from center of mass to center of floting
102 | -uuv_j : kg.m^2 the central principal moments of inertia of UAV in x,y,z
103 | -uuv_lu : kg/(m^3) the density of water
104 | -uuv_s : m^2 the max area of the uuv in direction x
105 | -uuv_l : m the length of the uuv
106 | -uuv_cx : the factor between drag-force and uuv_s
107 | -uuv_mx_beta: the factor between roll-force and beta
108 | -uuv_mx_dr: the factor between roll-force and delta_r
109 | -uuv_mx_dd: the factor between roll-force and delta_d
110 | -uuv_mx_wx: the factor between roll-force and omega_x
111 | -uuv_mx_wy: the factor between roll-force and omega_y
112 | -uuv_mx_xp:
113 | -uuv_cy_alfa: the factor between up-force and alpha
114 | -uuv_cy_de: the factor between up-force and delta_e
115 | -uuv_cy_wz: the factor between up-force and omega_z
116 | -uuv_my_beta: the factor between yaw-force and beta
117 | -uuv_my_dr: the factor between yaw-force and delta_r
118 | -uuv_my_wx:
119 | -uuv_my_wy: the factor between yaw-force and omega_y
120 | -uuv_cz_beta: the factor between right-force and beta
121 | -uuv_cz_dr: the factor between right-force and delta_r
122 | -uuv_cz_wy: the factor between right-force and omega_y
123 | -uuv_mz_alpha: the factor between pitch-force and alpha
124 | -uuv_mz_de: the factor between pitch-force and delta_e
125 | -uuv_mz_wz: the factor between pitch-force and omega_z
126 | -uuv_add_m_k11: the factor between added mass in x
127 | -uuv_add_m_k22: the factor between added mass in z
128 | -uuv_add_m_K44: the factor between added mass in roll
129 | -uuv_add_m_k55: the factor between added mass in pitch
130 | -uuv_add_m_k26: the factor between added mass in
131 | """
132 | self.ts = tim_sample
133 | self.g = g
134 |
135 | self.B = uuv_b
136 | self.G = uuv_m * g # Gravity of uuv
137 | self.M = uuv_m
138 | self.Dis_c = uuv_dis_c
139 | self.J = uuv_j
140 | self.Lu = uuv_lu
141 | self.S = uuv_s
142 | self.L = uuv_l
143 | self.Cx = uuv_cx
144 | self.MxBeta = uuv_mx_beta
145 | self.MxDr = uuv_mx_dr
146 | self.MxDd = uuv_mx_dd
147 | self.MxWx = uuv_mx_wx
148 | self.MxWy = uuv_mx_wy
149 | self.MxP = 0
150 | self.CyAlpha = uuv_cy_alfa
151 | self.CyDe = uuv_cy_de
152 | self.CyWz = uuv_cy_wz
153 | self.MyBeta = uuv_my_beta
154 | self.MyDr = uuv_my_dr
155 | self.MyWy = uuv_my_wy
156 | self.CzBeta = uuv_cz_beta
157 | self.CzDr = uuv_cz_dr
158 | self.CzWy = uuv_cz_wy
159 | self.MzAlpha = uuv_mz_alpha
160 | self.MzDe = uuv_mz_de
161 | self.MzWz = uuv_mz_wz
162 | self.AddMk11 = uuv_add_m_k11
163 | self.AddMk22 = uuv_add_m_k22
164 | self.AddMk33 = uuv_add_m_k22
165 | self.AddMk44 = uuv_add_m_K44
166 | self.AddMk55 = uuv_add_m_k55
167 | self.AddMk66 = uuv_add_m_k55
168 | self.AddMk26 = uuv_add_m_k26
169 | self.AddMk35 = -uuv_add_m_k26
170 |
171 | V = self.B / (self.Lu * self.g)
172 | self.AddML11 = self.AddMk11 * self.Lu * V
173 | self.AddML22 = self.AddMk22 * self.Lu * V
174 | self.AddML33 = self.AddMk33 * self.Lu * V
175 | self.AddML44 = self.AddMk44 * self.Lu * np.power(V, 5./3)
176 | self.AddML55 = self.AddMk55 * self.Lu * np.power(V, 5./3)
177 | self.AddML66 = self.AddMk66 * self.Lu * np.power(V, 5./3)
178 | self.AddML26 = self.AddMk26 * self.Lu * np.power(V, 4./3)
179 | self.AddML35 = self.AddMk35 * self.Lu * np.power(V, 4./3)
180 |
181 | class UuvModel(object):
182 | def __init__(self, uuv_para: UuvParas):
183 | """init a uuv"""
184 |
185 | self.agtPara = uuv_para # the para of agent
186 | # states of uuv
187 | # -position, m
188 | self.position = np.array([0, 0, 0])
189 | # -velocity, m/s
190 | self.velocity = np.array([0, 0, 0])
191 | # -attitude, rad
192 | self.attitude = np.array([0, 0, 0])
193 | # -angular, rad/s
194 | self.angular = np.array([0, 0, 0])
195 | # accelerate, m/(s^2)
196 | self.acc = np.zeros(3)
197 | # time control, s
198 | self.__ts = 0
199 |
200 | def dynamic_basic(self, state, action, debug=False):
201 | """ calculate /dot(state) = f(state) + u(state)
202 | This function will be executed many times during simulation, so high performance is necessary.
203 | :param state:
204 | 0 1 2 3 4 5
205 | p_x p_y p_z v_x v_y v_z
206 | 6 7 8 9 10 11
207 | roll pitch yaw v_roll v_pitch v_yaw
208 | :param action: u1(sum of thrust), u2(torque for roll), u3(pitch), u4(yaw)
209 | :return: derivatives of state inclfrom bokeh.plotting import figure
210 | """
211 | dot_state = np.zeros([12])
212 | if debug:
213 | test = dict()
214 | p = self.agtPara
215 | a = np.array([
216 | [p.M + p.AddML11, 0, 0, 0, p.M * p.Dis_c[2], -p.M * p.Dis_c[1]],
217 | [0, p.M + p.AddML22, 0, -p.M * p.Dis_c[2], 0, p.M * p.Dis_c[0] + p.AddML26],
218 | [0, 0, p.M + p.AddML33, p.M * p.Dis_c[1], p.AddML35 - p.M * p.Dis_c[0], 0],
219 | [0, -p.M * p.Dis_c[2], p.M * p.Dis_c[1], p.J[0] + p.AddML44, 0, 0],
220 | [p.M * p.Dis_c[2], 0, p.AddML35 - p.M * p.Dis_c[0], 0, p.J[1] + p.AddML55, 0],
221 | [-p.M * p.Dis_c[1], p.M * p.Dis_c[0] + p.AddML26, 0, 0, 0, p.J[2] + p.AddML66]
222 | ])
223 | de = action[0]
224 | dr = action[1]
225 | dd = action[2]
226 | tl = action[3]
227 | # the sequence here is different from the book "yu lei hang xing xue"
228 | vx = state[3]
229 | vy = state[4]
230 | vz = state[5]
231 | wx = state[9]
232 | wy = state[10]
233 | wz = state[11]
234 | pesi = state[8]
235 | sita = state[7]
236 | fai = state[6]
237 | v2 = vx * vx + vy * vy + vz * vz
238 | # speed
239 | v = np.sqrt(v2)
240 | # attack angle
241 | alfa = np.arctan(-vy / vx)
242 | vxy = np.sqrt(vx * vx + vy * vy)
243 | # side angle
244 | beta = np.arctan(vz / vxy)
245 |
246 | salfa = np.sin(alfa)
247 | calfa = np.cos(alfa)
248 | sbeta = np.sin(beta)
249 | cbeta = np.cos(beta)
250 | spesi = np.sin(pesi)
251 | cpesi = np.cos(pesi)
252 | ssita = np.sin(sita)
253 | csita = np.cos(sita)
254 | sfai = np.sin(fai)
255 | cfai = np.cos(fai)
256 |
257 | cvb = np.array([
258 | [calfa * cbeta, salfa, -calfa * sbeta],
259 | [-salfa * cbeta, calfa, salfa * sbeta],
260 | [sbeta, 0, cbeta]
261 | ])
262 |
263 | ceb = np.array([
264 | [csita * cpesi, ssita, -csita * spesi],
265 | [-ssita * cpesi * cfai + spesi * sfai, csita * cfai, ssita * spesi * cfai + cpesi * sfai],
266 | [ssita * cpesi * sfai + spesi * cfai, -csita * sfai, -ssita * spesi * sfai + cpesi * cfai]
267 | ])
268 | if debug:
269 | test['cvb'] = cvb
270 | test['ceb'] = ceb
271 | # print('dynamic test 1: -----------------------')
272 | # print('cvb is ', cvb)
273 | # print('ceb is ', ceb)
274 | fs_v = np.array([-p.Cx * 0.5 * p.Lu * v2 * p.S,
275 | p.CyAlpha * 0.5 * p.Lu * v2 * p.S * alfa + p.CyWz * 0.5 * p.Lu * p.S * p.L * v * wz + p.CyDe * 0.5 * p.Lu * v2 * p.S * de,
276 | p.CzBeta * 0.5 * p.Lu * v2 * p.S * beta + p.CzWy * 0.5 * p.Lu * p.S * p.L * v * wy + p.CzDr * 0.5 * p.Lu * v2 * p.S * dr
277 | ])
278 | # force
279 | fs = cvb.dot(fs_v)
280 |
281 | # torque
282 | ms = np.array([
283 | p.MxBeta * 0.5 * p.Lu * p.S * p.L * v2 * beta + p.MxWx * 0.5 * p.Lu * p.S * (np.square(p.L)) * wx * v
284 | + p.MxDr * 0.5 * p.Lu * p.S * p.L * v2 * dr + p.MxDd * 0.5 * p.Lu * p.S * p.L * v2 * dd + p.MxP * v2,
285 | p.MyBeta * 0.5 * p.Lu * p.S * p.L * v2 * beta + p.MyWy * 0.5 * p.Lu * p.S * (np.square(p.L)) * wy * v + p.MyDr * 0.5 * p.Lu * p.S * p.L * v2 * dr,
286 | p.MzAlpha * 0.5 * p.Lu * p.S * p.L * v2 * alfa + p.MzWz * 0.5 * p.Lu * p.S * (np.square(p.L)) * wz * v + p.MzDe * 0.5 * p.Lu * p.S * p.L * v2 * de
287 | ])
288 | # floating force
289 | fg = ceb.dot(np.array([0, p.B - p.G, 0]))
290 | if debug:
291 | test['fs'] = fs
292 | test['ms'] = ms
293 | test['fg'] = fg
294 |
295 | mg_m = np.array([
296 | [0, -p.Dis_c[2], p.Dis_c[1]],
297 | [p.Dis_c[2], 0, -p.Dis_c[0]],
298 | [-p.Dis_c[1], p.Dis_c[0], 0]
299 | ])
300 | # gravity
301 | mg = mg_m.dot(ceb.dot(np.array([0, -p.G, 0])))
302 | ft = np.array([
303 | [-p.M * (vz * wy - vy * wz + p.Dis_c[1] * wx * wy + p.Dis_c[2] * wx * wz - p.Dis_c[0] * (np.square(wy) + np.square(wz)))],
304 | [-p.M * (vx * wz - vz * wx + p.Dis_c[2] * wy * wz + p.Dis_c[0] * wy * wx - p.Dis_c[1] * (np.square(wz) + np.square(wx)))],
305 | [-p.M * (vy * wx - vx * wy + p.Dis_c[0] * wz * wx + p.Dis_c[1] * wz * wy - p.Dis_c[2] * (np.square(wx) + np.square(wy)))]
306 | ])
307 | mt = np.array([
308 | [-p.M * (p.Dis_c[1] * (vy * wx - vx * wy) + p.Dis_c[2] * (vz * wx - vx * wz)) - (p.J[2] - p.J[1]) * wy * wz],
309 | [-p.M * (p.Dis_c[2] * (vz * wy - vy * wz) + p.Dis_c[0] * (vx * wy - vy * wx)) - (p.J[0] - p.J[2]) * wz * wx],
310 | [-p.M * (p.Dis_c[0] * (vx * wz - vz * wx) + p.Dis_c[1] * (vy * wz - vz * wy)) - (p.J[1] - p.J[0]) * wx * wy]
311 | ])
312 | if debug:
313 | test['mg'] = mg
314 | test['ft'] = ft
315 | test['mt'] = mt
316 | # print('dynamic test 3: -----------------------')
317 | # print('mg is ', mg)
318 | # print('ft is ', ft)
319 | # print('mt is ', mt)
320 |
321 | ftl = np.array([tl, 0, 0])
322 | f = np.hstack([fs.reshape([3]) + fg.reshape([3]) + ft.reshape([3]) + ftl.reshape([3]), ms.reshape([3]) + mg.reshape([3]) + mt.reshape([3])])
323 | df_speed = np.linalg.inv(a).dot(f)
324 | angle_rot = np.array([
325 | [0, cfai / csita, -sfai / csita],
326 | [0, sfai, cfai],
327 | [1, -cfai * np.tan(sita), sfai * np.tan(sita)]
328 | ])
329 | df_2 = angle_rot.dot(np.array([wx, wy, wz]))
330 | df_3 = ceb.dot([vx, vy, vz])
331 | if debug:
332 | test['f'] = f
333 | test['a'] = a
334 | test['df_speed'] = df_speed
335 | test['df_angle'] = df_2
336 |
337 | dot_state[0:3] = df_3
338 | dot_state[3:6] = df_speed[0:3]
339 | dot_state[6:9] = df_2
340 | dot_state[9:12] = df_speed[3:6]
341 | if debug:
342 | return dot_state, test
343 | else:
344 | return dot_state
345 |
346 | def observe(self):
347 | """out put the system state, with sensor system or without sensor system"""
348 | # if self.simPara.enableSensorSys:
349 | # sensor_data = dict()
350 | # for index, sensor in enumerate(self.sensorList):
351 | # if isinstance(sensor, SensorBase.SensorBase):
352 | # # name = str(index) + '-' + sensor.get_name()
353 | # name = sensor.get_name()
354 | # sensor_data.update({name: sensor.observe()})
355 | # return sensor_data
356 | # else:
357 | return np.hstack([self.position, self.velocity, self.attitude, self.angular])
358 |
359 | def get_reward(self):
360 | reward = np.sum(np.square(self.position)) / 8 + np.sum(np.square(self.velocity)) / 20 \
361 | + np.sum(np.square(self.attitude)) / 3 + np.sum(np.square(self.angular)) / 10
362 | return reward
363 |
364 | def step(self, action):
365 |
366 | self.__ts += self.agtPara.ts
367 | # # 1.1 Actuator model, calculate the thrust and torque
368 | # thrusts, toques = self.actuator.step(action)
369 |
370 | # # 1.2 Calculate the force distribute according to 'x' type or '+' type, assum '+' type
371 | # forces = self.rotor_distribute_dynamic(thrusts, toques)
372 |
373 | # 1.3 Basic model, calculate the basic model, the u need to be given directly in test-mode for Matlab
374 | state_temp = np.hstack([self.position, self.velocity, self.attitude, self.angular])
375 | state_next = rk4(self.dynamic_basic, state_temp, action, self.agtPara.ts)
376 | [self.position, self.velocity, self.attitude, self.angular] = np.split(state_next, 4)
377 | # calculate the accelerate
378 | state_dot = self.dynamic_basic(state_temp, action)
379 | self.acc = state_dot[3:6]
380 |
381 | # 2. Calculate Sensor sensor model
382 | # if self.simPara.enableSensorSys:
383 | # for index, sensor in enumerate(self.sensorList):
384 | # if isinstance(sensor, SensorBase.SensorBase):
385 | # sensor.update(np.hstack([state_next, self.acc]), self.__ts)
386 | ob = self.observe()
387 |
388 | # 3. Check whether finish (failed or completed)
389 | finish_flag = False#self.is_finished()
390 |
391 | # 4. Calculate a reference reward
392 | reward = self.get_reward()
393 |
394 | return ob, reward, finish_flag
395 |
396 | if __name__ == '__main__':
397 | " used for testing this module"
398 | testFlag = 3
399 |
400 | if testFlag == 1:
401 | # test case 1
402 | # 使用简单的原始数据测试
403 | para = UuvParas()
404 | agent = UuvModel(para)
405 | xi = np.array([0, 0, 0, 10, 0, 0,
406 | 0, 0, 0, 0, 0, 0])
407 | a0 = np.array([ 0, 0, 0, 10672])
408 | dot_state, test = agent.dynamic_basic(xi, a0 ,debug=True)
409 | ## sec 1 ##############################################################
410 | r_cvb = np.diag(np.ones(3))
411 | r_ceb = np.diag(np.ones(3))
412 | ## sec 2 ##############################################################
413 | r_fs = np.array([-1.6095, 0, 0]) * 1000
414 | r_ms = np.array([0, 0, 0])
415 | r_fg = np.array([0, -3361, 0])
416 | ## sec 3 ##############################################################
417 | r_mg = np.array([144.2560, 0, -360.6400])
418 | r_ft = np.array([0, 0, 0])
419 | r_mt = np.array([0, 0, 0])
420 | ## sec 4 ##############################################################
421 | r_f = 1.0e+04 * np.array([1.2282, -0.3361, 0, 0.0144, 0, -0.0361])
422 | r_a = 1.0e+04 * np.array([
423 | [0.1873, 0, 0, 0, 0.0015, 0.0009],
424 | [ 0, 0.3501, 0, -0.0015, 0, -0.0581],
425 | [ 0, 0, 0.3501, -0.0009, 0.0581, 0],
426 | [ 0, -0.0015, -0.0009, 0.0561, 0, 0],
427 | [0.0015, 0, 0.0581, 0, 1.4148, 0],
428 | [0.0009, -0.0581, 0, 0, 0, 1.4148]
429 | ]),
430 | r_df_speed = np.array([6.5567, -0.9706, 0.0018, 0.2316, -0.0069, -0.0696])
431 | r_df_angle = np.array([0, 0, 0])
432 | print('sec 1: ------------------------------------------------------------')
433 | print('cvb is ', test['cvb'], '. should be ', r_cvb)
434 | print('ceb is ', test['ceb'], '. should be ', r_ceb)
435 | print('sec 2: ------------------------------------------------------------')
436 | print('fs is ', test['fs'], '. should be ', r_fs)
437 | print('ms is ', test['ms'], '. should be ', r_ms)
438 | print('fg is ', test['fg'], '. should be ', r_fg)
439 | print('sec 3: ------------------------------------------------------------')
440 | print('mg is ', test['mg'], '. should be ', r_mg)
441 | print('ft is ', test['ft'], '. should be ', r_ft)
442 | print('mt is ', test['mt'], '. should be ', r_mt)
443 | print('sec 4 -------------------------------------------------------------')
444 | print('f is ', test['f'], '. should be ', r_f)
445 | print('a is ', test['a'], '. should be ', r_a)
446 | print('df_speed is ', test['df_speed'], '. should be ', r_df_speed)
447 | print('df_angle is ', test['df_angle'], '. should be ', r_df_angle)
448 | print('result is ', trans(dot_state))
449 |
450 | elif testFlag == 2:
451 | # import matplotlib.pyplot as plt
452 | para = UuvParas()
453 | agent = UuvModel(para)
454 | s2 = np.zeros(12)
455 | agent.velocity[0] = 10
456 | xi = np.array([0, 0, 0, 10, 0, 0,
457 | 0, 0, 0, 0, 0, 0])
458 | a0 = np.array([ 0, 0, 0, 10672])
459 | # record = MemoryStore.DataRecord()
460 | # record.clear()
461 | step_cnt = 0
462 | action2 = np.zeros(4)
463 | action2[3] = 10672
464 | print('action: ', action2)
465 | agent.step(action2)
466 | s1 = agent.observe()
467 | s2[0:3] = s1[3:6]
468 | s2[3:6] = s1[9:12]
469 | s2[6:9] = s1[6:9]
470 | s2[9:12] = s1[3:6]
471 | print('1', s2)
472 | elif testFlag == 3:
473 | import matplotlib.pyplot as plt
474 | para = UuvParas()
475 | agent = UuvModel(para)
476 | agent.velocity[0] = 10
477 | xi = np.array([0, 0, 0, 10, 0, 0,
478 | 0, 0, 0, 0, 0, 0])
479 | a0 = np.array([ 0, 0, 0, 10672])
480 | record = MemoryStore.DataRecord()
481 | record.clear()
482 | step_cnt = 0
483 | for i in range(2000):
484 | ref = np.array([0., 0., 1., 0.])
485 | stateTemp = agent.observe()
486 |
487 | print(stateTemp)
488 | action2 = np.zeros(4)
489 | action2[3] = 10672
490 | # action2, oil = quad1.get_controller_pid(stateTemp, ref)
491 | print('action: ', action2)
492 | # action2 = np.clip(action2, 0.1, 0.9)
493 | agent.step(action2)
494 | record.buffer_append((stateTemp, action2))
495 | step_cnt = step_cnt + 1
496 | record.episode_append()
497 |
498 |
499 | data = record.get_episode_buffer()
500 | bs = data[0]
501 | ba = data[1]
502 | t = range(0, record.count)
503 | # mpl.style.use('seaborn')
504 | fig1 = plt.figure(1)
505 | plt.clf()
506 | plt.subplot(3, 1, 1)
507 | plt.plot(t, bs[t, 6] / D2R, label='roll')
508 | plt.plot(t, bs[t, 7] / D2R, label='pitch')
509 | plt.plot(t, bs[t, 8] / D2R, label='yaw')
510 | plt.ylabel('Attitude $(\circ)$', fontsize=15)
511 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
512 | plt.subplot(3, 1, 2)
513 | plt.plot(t, bs[t, 4], label='y')
514 | plt.plot(t, bs[t, 5], label='z')
515 | plt.ylabel('Position (m)', fontsize=15)
516 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
517 | plt.subplot(3, 1, 3)
518 | plt.plot(t, bs[t, 3], label='x')
519 | plt.ylabel('Forward (m)', fontsize=15)
520 | plt.legend(fontsize=15, bbox_to_anchor=(1, 1.05))
521 | plt.show()
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