lqr code clean up

This commit is contained in:
Atsushi Sakai
2017-12-27 08:57:50 -08:00
parent fba64ca254
commit 44be333639
4 changed files with 81 additions and 117 deletions

View File

@@ -8,10 +8,8 @@ author Atsushi Sakai (@Atsushi_twi)
import numpy as np
import math
import matplotlib.pyplot as plt
import unicycle_model
from pycubicspline import pycubicspline
from matplotrecorder import matplotrecorder
import scipy.linalg as la
from pycubicspline import pycubicspline
Kp = 1.0 # speed proportional gain
@@ -19,7 +17,37 @@ Kp = 1.0 # speed proportional gain
Q = np.eye(4)
R = np.eye(1)
matplotrecorder.donothing = True
# parameters
dt = 0.1 # time tick[s]
L = 0.5 # Wheel base of the vehicle [m]
max_steer = math.radians(45.0) # maximum steering angle[rad]
show_animation = True
# show_animation = False
class State:
def __init__(self, x=0.0, y=0.0, yaw=0.0, v=0.0):
self.x = x
self.y = y
self.yaw = yaw
self.v = v
def update(state, a, delta):
if delta >= max_steer:
delta = max_steer
if delta <= - max_steer:
delta = - max_steer
state.x = state.x + state.v * math.cos(state.yaw) * dt
state.y = state.y + state.v * math.sin(state.yaw) * dt
state.yaw = state.yaw + state.v / L * math.tan(delta) * dt
state.v = state.v + a * dt
return state
def PIDControl(target, current):
@@ -84,25 +112,25 @@ def lqr_steering_control(state, cx, cy, cyaw, ck, pe, pth_e):
A = np.matrix(np.zeros((4, 4)))
A[0, 0] = 1.0
A[0, 1] = unicycle_model.dt
A[0, 1] = dt
A[1, 2] = v
A[2, 2] = 1.0
A[2, 3] = unicycle_model.dt
A[2, 3] = dt
# print(A)
B = np.matrix(np.zeros((4, 1)))
B[3, 0] = v / unicycle_model.L
B[3, 0] = v / L
K, _, _ = dlqr(A, B, Q, R)
x = np.matrix(np.zeros((4, 1)))
x[0, 0] = e
x[1, 0] = (e - pe) / unicycle_model.dt
x[1, 0] = (e - pe) / dt
x[2, 0] = th_e
x[3, 0] = (th_e - pth_e) / unicycle_model.dt
x[3, 0] = (th_e - pth_e) / dt
ff = math.atan2(unicycle_model.L * k, 1)
ff = math.atan2(L * k, 1)
fb = pi_2_pi((-K * x)[0, 0])
delta = ff + fb
@@ -135,7 +163,7 @@ def closed_loop_prediction(cx, cy, cyaw, ck, speed_profile, goal):
goal_dis = 0.3
stop_speed = 0.05
state = unicycle_model.State(x=-0.0, y=-0.0, yaw=0.0, v=0.0)
state = State(x=-0.0, y=-0.0, yaw=0.0, v=0.0)
time = 0.0
x = [state.x]
@@ -152,13 +180,12 @@ def closed_loop_prediction(cx, cy, cyaw, ck, speed_profile, goal):
state, cx, cy, cyaw, ck, e, e_th)
ai = PIDControl(speed_profile[target_ind], state.v)
# state = unicycle_model.update(state, ai, di)
state = unicycle_model.update(state, ai, dl)
state = update(state, ai, dl)
if abs(state.v) <= stop_speed:
target_ind += 1
time = time + unicycle_model.dt
time = time + dt
# check goal
dx = state.x - goal[0]
@@ -173,7 +200,7 @@ def closed_loop_prediction(cx, cy, cyaw, ck, speed_profile, goal):
v.append(state.v)
t.append(time)
if target_ind % 1 == 0:
if target_ind % 1 == 0 and show_animation:
plt.cla()
plt.plot(cx, cy, "-r", label="course")
plt.plot(x, y, "ob", label="trajectory")
@@ -183,9 +210,7 @@ def closed_loop_prediction(cx, cy, cyaw, ck, speed_profile, goal):
plt.title("speed[km/h]:" + str(round(state.v * 3.6, 2)) +
",target index:" + str(target_ind))
plt.pause(0.0001)
matplotrecorder.save_frame() # save each frame
plt.close()
return t, x, y, yaw, v
@@ -232,33 +257,33 @@ def main():
t, x, y, yaw, v = closed_loop_prediction(cx, cy, cyaw, ck, sp, goal)
matplotrecorder.save_movie("animation.gif", 0.1) # gif is ok.
if show_animation:
plt.close()
flg, _ = plt.subplots(1)
plt.plot(ax, ay, "xb", label="input")
plt.plot(cx, cy, "-r", label="spline")
plt.plot(x, y, "-g", label="tracking")
plt.grid(True)
plt.axis("equal")
plt.xlabel("x[m]")
plt.ylabel("y[m]")
plt.legend()
flg, _ = plt.subplots(1)
plt.plot(ax, ay, "xb", label="input")
plt.plot(cx, cy, "-r", label="spline")
plt.plot(x, y, "-g", label="tracking")
plt.grid(True)
plt.axis("equal")
plt.xlabel("x[m]")
plt.ylabel("y[m]")
plt.legend()
flg, ax = plt.subplots(1)
plt.plot(s, [math.degrees(iyaw) for iyaw in cyaw], "-r", label="yaw")
plt.grid(True)
plt.legend()
plt.xlabel("line length[m]")
plt.ylabel("yaw angle[deg]")
flg, ax = plt.subplots(1)
plt.plot(s, [math.degrees(iyaw) for iyaw in cyaw], "-r", label="yaw")
plt.grid(True)
plt.legend()
plt.xlabel("line length[m]")
plt.ylabel("yaw angle[deg]")
flg, ax = plt.subplots(1)
plt.plot(s, ck, "-r", label="curvature")
plt.grid(True)
plt.legend()
plt.xlabel("line length[m]")
plt.ylabel("curvature [1/m]")
flg, ax = plt.subplots(1)
plt.plot(s, ck, "-r", label="curvature")
plt.grid(True)
plt.legend()
plt.xlabel("line length[m]")
plt.ylabel("curvature [1/m]")
plt.show()
plt.show()
if __name__ == '__main__':

View File

@@ -1,75 +0,0 @@
#! /usr/bin/python
"""
Unicycle Model of robot
author Atsushi Sakai (@Atsushi_twi)
"""
import math
# parameters
dt = 0.1 # time tick[s]
L = 0.5 # Wheel base of the vehicle [m]
max_steer = math.radians(45.0) # maximum steering angle[rad]
class State:
def __init__(self, x=0.0, y=0.0, yaw=0.0, v=0.0):
self.x = x
self.y = y
self.yaw = yaw
self.v = v
def update(state, a, delta):
if delta >= max_steer:
delta = max_steer
if delta <= - max_steer:
delta = - max_steer
state.x = state.x + state.v * math.cos(state.yaw) * dt
state.y = state.y + state.v * math.sin(state.yaw) * dt
state.yaw = state.yaw + state.v / L * math.tan(delta) * dt
state.v = state.v + a * dt
return state
if __name__ == '__main__':
print("start unicycle simulation")
import matplotlib.pyplot as plt
T = 100
a = [1.0] * T
delta = [math.radians(1.0)] * T
# print(delta)
# print(a, delta)
state = State()
x = []
y = []
yaw = []
v = []
for (ai, di) in zip(a, delta):
state = update(state, ai, di)
x.append(state.x)
y.append(state.y)
yaw.append(state.yaw)
v.append(state.v)
flg, ax = plt.subplots(1)
plt.plot(x, y)
plt.axis("equal")
plt.grid(True)
flg, ax = plt.subplots(1)
plt.plot(v)
plt.grid(True)
plt.show()

15
tests/test_lqr.py Normal file
View File

@@ -0,0 +1,15 @@
from unittest import TestCase
import sys
sys.path.append("./PathTracking/lqr/")
from PathTracking.lqr import lqr_tracking as m
print(__file__)
class Test(TestCase):
def test1(self):
m.show_animation = False
m.main()