add plot trajectory and footstep

This commit is contained in:
Takayuki Murooka
2019-01-26 19:33:56 +09:00
parent edd768ccdf
commit 62c74e76a2

View File

@@ -1,14 +1,15 @@
import numpy as np
import math
from matplotlib import pyplot as plt
import matplotlib.patches as pat
class BipedalPlanner(object):
def __init__(self):
self.footstep = None
self.footsteps = None
self.g = 9.8
def set_footstep(self, footstep):
self.footstep = footstep
def set_ref_footsteps(self, footsteps):
self.ref_footsteps = footsteps
def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_width):
time_split = 100
@@ -29,19 +30,21 @@ class BipedalPlanner(object):
return x, x_dot, y, y_dot
def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False):
if self.footstep == None:
print("No footstep")
if self.ref_footsteps == None:
print("No footsteps")
return
self.com_trajectory = []
self.footsteps = []
self.ref_p = []
px, py = 0., 0.
px_star, py_star = px, py
xi, xi_dot, yi, yi_dot = 0., 0., 0., 0.
time = 0.
n = 0
for i in range(len(self.footstep)):
self.ref_p.append([px, py, 0])
for i in range(len(self.ref_footsteps)):
# simulate x, y o finverted pendulum
xi, xi_dot, yi, yi_dot = self.inverted_pendulum(xi, xi_dot, px_star, yi, yi_dot, py_star, z_c, T_sup)
@@ -51,14 +54,14 @@ class BipedalPlanner(object):
# calculate px, py, x_, y_, vx_, vy_
f_x, f_y, f_theta = self.footstep[n - 1]
f_x, f_y, f_theta = self.ref_footsteps[n - 1]
rotate_mat = np.array([[math.cos(f_theta), -math.sin(f_theta)],
[math.sin(f_theta), math.cos(f_theta)]])
if n == len(self.footstep):
if n == len(self.ref_footsteps):
f_x_next, f_y_next, f_theta_next = 0., 0., 0.
else:
f_x_next, f_y_next, f_theta_next = self.footstep[n]
f_x_next, f_y_next, f_theta_next = self.ref_footsteps[n]
rotate_mat_next = np.array([[math.cos(f_theta_next), -math.sin(f_theta_next)],
[math.sin(f_theta_next), math.cos(f_theta_next)]])
@@ -69,13 +72,14 @@ class BipedalPlanner(object):
px, py = list(np.array([px, py]) + np.dot(rotate_mat, np.array([f_x, -1 * math.pow(-1, n) * f_y])))
x_, y_ = list(np.dot(rotate_mat_next, np.array([f_x_next / 2., math.pow(-1, n) * f_y_next / 2.])))
vx_, vy_ = list(np.dot(rotate_mat_next, np.array([(1 + C) / (T_c * S) * x_, (C - 1) / (T_c * S) * y_])))
self.ref_p.append([px, py, f_theta])
# calculate reference COM
xd, xd_dot = px + x_, vx_
yd, yd_dot = py + y_, vy_
# calculate modified footstep
# calculate modified footsteps
D = a * math.pow(C - 1, 2) + b * math.pow(S / T_c, 2)
px_star = -a * (C - 1) / D * (xd - C * xi - T_c * S * xi_dot) - b * S / (T_c * D) * (xd_dot - S / T_c * xi - C * xi_dot)
py_star = -a * (C - 1) / D * (yd - C * yi - T_c * S * yi_dot) - b * S / (T_c * D) * (yd_dot - S / T_c * yi - C * yi_dot)
@@ -83,8 +87,18 @@ class BipedalPlanner(object):
self.footsteps.append([px_star, py_star])
if plot:
plt.plot([i[0] for i in self.footsteps], [i[1] for i in self.footsteps])
plt.plot([i[0] for i in self.com_trajectory], [i[1] for i in self.com_trajectory])
fig = plt.figure()
ax = fig.subplots()
ax.set_xlim(0, 1)
ax.set_ylim(-0.1, 0.2 + 0.1)
ax.plot([i[0] for i in self.footsteps], [i[1] for i in self.footsteps])
ax.plot([i[0] for i in self.com_trajectory], [i[1] for i in self.com_trajectory])
for i in range(len(self.ref_p)):
rec = pat.Rectangle(xy = (self.ref_p[i][0], self.ref_p[i][1]), width = 0.06, height = 0.02, angle = self.ref_p[i][2] * 180 / math.pi, color = "blue", alpha = 0.5)
ax.add_patch(rec)
plt.show()
@@ -92,10 +106,10 @@ class BipedalPlanner(object):
if __name__ == "__main__":
bipedal_planner = BipedalPlanner()
footstep = [[0.0, 0.2, 0.0],
footsteps = [[0.0, 0.2, 0.0],
[0.3, 0.2, 0.0],
[0.3, 0.2, 0.0],
[0.3, 0.2, 0.0],
[0.0, 0.2, 0.0]]
bipedal_planner.set_footstep(footstep)
[0.3, 0.2, 0.2],
[0.3, 0.2, 0.2],
[0.0, 0.2, 0.2]]
bipedal_planner.set_ref_footsteps(footsteps)
bipedal_planner.walk(plot=True)