From b7a5cb830ea1fd0564546aa48282e4a64a30273f Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 05:39:05 +0900 Subject: [PATCH 01/14] first commit with bipedal --- Bipedal/bipedal_planner/bipedal_planner.py | 34 ++++++++++++++++++++++ 1 file changed, 34 insertions(+) create mode 100644 Bipedal/bipedal_planner/bipedal_planner.py diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py new file mode 100644 index 0000000000..350c912c41 --- /dev/null +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -0,0 +1,34 @@ +import numpy + +class FootstepPlanner(object): + def __init__(self): + pass + + def plan(self, goal): + pass + +class BipedalPlanner(object): + def __init__(self): + self.footstep_planner = FootstepPlanner() + + ''' + self.footstep = [[0.0, 0.2], + [0.3, 0.2], + [0.3, 0.2], + [0.3, 0.2], + [0.3, 0.2], + [0.0, 0.2]] + ''' + + def set_footstep(self, footstep): + self.footstep = footstep + + def send_goal(self, goal): + footstep = self.footstep_planner.plan(goal) + if footstep != None: + self.footstep = footstep + +if __name__ == "__main__": + bipedal_planner = BipedalPlanner() + goal = None + bipedal_planner.send_goal(goal) From edd768ccdfebc1e2a02a9a7254c8b3c211107312 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 19:16:01 +0900 Subject: [PATCH 02/14] add bipedal planner, but there's bug yet --- Bipedal/bipedal_planner/bipedal_planner.py | 115 ++++++++++++++++----- 1 file changed, 91 insertions(+), 24 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index 350c912c41..899e03a6db 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -1,34 +1,101 @@ -import numpy +import numpy as np +import math +from matplotlib import pyplot as plt -class FootstepPlanner(object): - def __init__(self): - pass - - def plan(self, goal): - pass - class BipedalPlanner(object): def __init__(self): - self.footstep_planner = FootstepPlanner() - - ''' - self.footstep = [[0.0, 0.2], - [0.3, 0.2], - [0.3, 0.2], - [0.3, 0.2], - [0.3, 0.2], - [0.0, 0.2]] - ''' + self.footstep = None + self.g = 9.8 def set_footstep(self, footstep): self.footstep = footstep - def send_goal(self, goal): - footstep = self.footstep_planner.plan(goal) - if footstep != None: - self.footstep = footstep + def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_width): + time_split = 100 + + for i in range(time_split): + delta_time = time_width / time_split + + x_dot2 = self.g / z_c * (x - px_star) + x += x_dot * delta_time + x_dot += x_dot2 * delta_time + + y_dot2 = self.g / z_c * (y - py_star) + y += y_dot * delta_time + y_dot += y_dot2 * delta_time + + self.com_trajectory.append([x, y]) + + 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") + return + + self.com_trajectory = [] + self.footsteps = [] + + 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)): + # 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) + + # update time + time += T_sup + n += 1 + + + # calculate px, py, x_, y_, vx_, vy_ + f_x, f_y, f_theta = self.footstep[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): + 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] + 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)]]) + + T_c = math.sqrt(z_c / self.g) + C = math.cosh(T_sup / T_c) + S = math.sinh(T_sup / T_c) + + 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_]))) + + + # calculate reference COM + xd, xd_dot = px + x_, vx_ + yd, yd_dot = py + y_, vy_ + + # calculate modified footstep + 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) + + 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]) + plt.show() + + if __name__ == "__main__": bipedal_planner = BipedalPlanner() - goal = None - bipedal_planner.send_goal(goal) + + footstep = [[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) + bipedal_planner.walk(plot=True) From 62c74e76a2844bbbeba538c8cda51905d600b8a8 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 19:33:56 +0900 Subject: [PATCH 03/14] add plot trajectory and footstep --- Bipedal/bipedal_planner/bipedal_planner.py | 48 ++++++++++++++-------- 1 file changed, 31 insertions(+), 17 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index 899e03a6db..d1ef07a524 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -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 @@ def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_widt 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 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): # 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 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): if __name__ == "__main__": bipedal_planner = BipedalPlanner() - footstep = [[0.0, 0.2, 0.0], - [0.3, 0.2, 0.0], - [0.3, 0.2, 0.0], + footsteps = [[0.0, 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) From 3a326e0bba3f06b0f45a0317e109c99f85d6f569 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 19:38:57 +0900 Subject: [PATCH 04/14] add actual footstep --- Bipedal/bipedal_planner/bipedal_planner.py | 13 ++++++++++--- 1 file changed, 10 insertions(+), 3 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index d1ef07a524..bc3f91b089 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -37,6 +37,7 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): self.com_trajectory = [] self.footsteps = [] self.ref_p = [] + self.act_p = [] px, py = 0., 0. px_star, py_star = px, py @@ -83,6 +84,7 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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) + self.act_p.append([px_star, py_star, f_theta]) self.footsteps.append([px_star, py_star]) @@ -90,15 +92,20 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): fig = plt.figure() ax = fig.subplots() ax.set_xlim(0, 1) - ax.set_ylim(-0.1, 0.2 + 0.1) + ax.set_ylim(-0.1, 0.2 + 0.1) + ax.set_aspect('equal', 'datalim') 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) + rec = pat.Rectangle(xy = (self.ref_p[i][0], self.ref_p[i][1]), width=0.06, height=0.04, angle=self.ref_p[i][2] * 180 / math.pi, color="green", fill=False, ls=":") ax.add_patch(rec) - + + for i in range(len(self.act_p)): + rec = pat.Rectangle(xy = (self.act_p[i][0], self.act_p[i][1]), width=0.06, height=0.04, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) + ax.add_patch(rec) + plt.show() From 0a4f3ac0f7be8d26ab6b8adfbf582c4854840e03 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 19:49:29 +0900 Subject: [PATCH 05/14] fix bug --- Bipedal/bipedal_planner/bipedal_planner.py | 12 +++++++----- 1 file changed, 7 insertions(+), 5 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index bc3f91b089..1e9d8d03b1 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -41,10 +41,11 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): px, py = 0., 0. px_star, py_star = px, py - xi, xi_dot, yi, yi_dot = 0., 0., 0., 0. + xi, xi_dot, yi, yi_dot = 0., 0., 0.01, 0. # TODO yi should be set as +epsilon time = 0. n = 0 self.ref_p.append([px, py, 0]) + self.act_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) @@ -105,6 +106,7 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): for i in range(len(self.act_p)): rec = pat.Rectangle(xy = (self.act_p[i][0], self.act_p[i][1]), width=0.06, height=0.04, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) ax.add_patch(rec) + print(len(self.ref_p), len(self.act_p)) plt.show() @@ -114,9 +116,9 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): bipedal_planner = BipedalPlanner() footsteps = [[0.0, 0.2, 0.0], - [0.3, 0.2, 0.0], - [0.3, 0.2, 0.2], - [0.3, 0.2, 0.2], - [0.0, 0.2, 0.2]] + [0.3, 0.2, 0.0], + [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) From dc184b2b82bb1888f527496ec9e52351ec73672d Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 20:02:46 +0900 Subject: [PATCH 06/14] some refactoring --- Bipedal/bipedal_planner/bipedal_planner.py | 28 ++++++++++++---------- 1 file changed, 15 insertions(+), 13 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index 1e9d8d03b1..e8743741aa 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -5,11 +5,11 @@ class BipedalPlanner(object): def __init__(self): - self.footsteps = None + self.ref_footsteps = None self.g = 9.8 - def set_ref_footsteps(self, footsteps): - self.ref_footsteps = footsteps + def set_ref_footsteps(self, ref_footsteps): + self.ref_footsteps = ref_footsteps def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_width): time_split = 100 @@ -35,13 +35,12 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): return self.com_trajectory = [] - self.footsteps = [] self.ref_p = [] self.act_p = [] px, py = 0., 0. px_star, py_star = px, py - xi, xi_dot, yi, yi_dot = 0., 0., 0.01, 0. # TODO yi should be set as +epsilon + xi, xi_dot, yi, yi_dot = 0., 0., 0.01, 0. # TODO yi should be set as +epsilon, set xi, yi as COM time = 0. n = 0 self.ref_p.append([px, py, 0]) @@ -87,8 +86,6 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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) self.act_p.append([px_star, py_star, f_theta]) - self.footsteps.append([px_star, py_star]) - if plot: fig = plt.figure() ax = fig.subplots() @@ -96,17 +93,22 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): ax.set_ylim(-0.1, 0.2 + 0.1) ax.set_aspect('equal', 'datalim') - 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]) - + + foot_width = 0.06 + foot_height = 0.04 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=0.04, angle=self.ref_p[i][2] * 180 / math.pi, color="green", fill=False, ls=":") + angle = self.ref_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) + rec = pat.Rectangle(xy = (self.ref_p[i][0] + r * math.cos(angle), self.ref_p[i][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.ref_p[i][2] * 180 / math.pi, color="green", fill=False, ls=":") ax.add_patch(rec) - for i in range(len(self.act_p)): - rec = pat.Rectangle(xy = (self.act_p[i][0], self.act_p[i][1]), width=0.06, height=0.04, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) + angle = self.act_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) + rec = pat.Rectangle(xy = (self.act_p[i][0] + r * math.cos(angle), self.act_p[i][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) ax.add_patch(rec) - print(len(self.ref_p), len(self.act_p)) plt.show() From eb0aa8a684fd3a19db004c54271760c2b85540f0 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:06:32 +0900 Subject: [PATCH 07/14] modify for good plot --- Bipedal/bipedal_planner/bipedal_planner.py | 96 ++++++++++++++-------- 1 file changed, 62 insertions(+), 34 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index e8743741aa..284ab03f6b 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -2,6 +2,8 @@ import math from matplotlib import pyplot as plt import matplotlib.patches as pat +from mpl_toolkits.mplot3d import Axes3D +import mpl_toolkits.mplot3d.art3d as art3d class BipedalPlanner(object): def __init__(self): @@ -25,7 +27,8 @@ def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_widt y += y_dot * delta_time y_dot += y_dot2 * delta_time - self.com_trajectory.append([x, y]) + if i % 10 == 0: + self.com_trajectory.append([x, y]) return x, x_dot, y, y_dot @@ -34,31 +37,36 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): print("No footsteps") return + # set up plotter + if plot: + fig = plt.figure() + ax = Axes3D(fig) + com_trajectory_for_plot = [] + self.com_trajectory = [] - self.ref_p = [] - self.act_p = [] + self.ref_p = [] # reference footstep positions + self.act_p = [] # actual footstep positions - px, py = 0., 0. - px_star, py_star = px, py + px, py = 0., 0. # reference footstep position + px_star, py_star = px, py # modified footstep position xi, xi_dot, yi, yi_dot = 0., 0., 0.01, 0. # TODO yi should be set as +epsilon, set xi, yi as COM time = 0. n = 0 self.ref_p.append([px, py, 0]) self.act_p.append([px, py, 0]) for i in range(len(self.ref_footsteps)): - # simulate x, y o finverted pendulum + # simulate x, y and those of dot of inverted pendulum xi, xi_dot, yi, yi_dot = self.inverted_pendulum(xi, xi_dot, px_star, yi, yi_dot, py_star, z_c, T_sup) # update time time += T_sup n += 1 - # calculate px, py, x_, y_, vx_, vy_ 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.ref_footsteps): f_x_next, f_y_next, f_theta_next = 0., 0., 0. else: @@ -75,7 +83,6 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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_ @@ -86,34 +93,55 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): 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) self.act_p.append([px_star, py_star, f_theta]) + # plot + if plot: + # for plot trajectory, plot in for loop + for c in range(len(self.com_trajectory)): + if c > len(com_trajectory_for_plot): + # set up plotter + plt.cla() + ax.set_zlim(0, z_c * 2) + ax.set_aspect('equal', 'datalim') + + # update com_trajectory_for_plot + com_trajectory_for_plot.append(self.com_trajectory[c]) + + # plot com + ax.plot([p[0] for p in com_trajectory_for_plot], [p[1] for p in com_trajectory_for_plot], [0 for p in com_trajectory_for_plot], color="red") + + # plot inverted pendulum + ax.plot([px_star, com_trajectory_for_plot[-1][0]], + [py_star , com_trajectory_for_plot[-1][1]], + [0, z_c], color="green", linewidth=3) + ax.scatter([com_trajectory_for_plot[-1][0]], + [com_trajectory_for_plot[-1][1]], + [z_c], color="green", s=300) + + # foot rectangle for self.ref_p + foot_width = 0.06 + foot_height = 0.04 + for i in range(len(self.ref_p)): + angle = self.ref_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) + rec = pat.Rectangle(xy = (self.ref_p[i][0] + r * math.cos(angle), self.ref_p[i][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.ref_p[i][2] * 180 / math.pi, color="blue", fill=False, ls=":") + ax.add_patch(rec) + art3d.pathpatch_2d_to_3d(rec, z=0, zdir="z") + + # foot rectangle for self.act_p + for i in range(len(self.act_p)): + angle = self.act_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) + rec = pat.Rectangle(xy = (self.act_p[i][0] + r * math.cos(angle), self.act_p[i][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) + ax.add_patch(rec) + art3d.pathpatch_2d_to_3d(rec, z=0, zdir="z") + + plt.draw() + plt.pause(0.001) if plot: - fig = plt.figure() - ax = fig.subplots() - ax.set_xlim(0, 1) - ax.set_ylim(-0.1, 0.2 + 0.1) - ax.set_aspect('equal', 'datalim') - - ax.plot([i[0] for i in self.com_trajectory], [i[1] for i in self.com_trajectory]) - - foot_width = 0.06 - foot_height = 0.04 - for i in range(len(self.ref_p)): - angle = self.ref_p[i][2] + math.atan2(foot_height, foot_width) - math.pi - r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) - rec = pat.Rectangle(xy = (self.ref_p[i][0] + r * math.cos(angle), self.ref_p[i][1] + r * math.sin(angle)), - width=foot_width, height=foot_height, angle=self.ref_p[i][2] * 180 / math.pi, color="green", fill=False, ls=":") - ax.add_patch(rec) - for i in range(len(self.act_p)): - angle = self.act_p[i][2] + math.atan2(foot_height, foot_width) - math.pi - r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) - rec = pat.Rectangle(xy = (self.act_p[i][0] + r * math.cos(angle), self.act_p[i][1] + r * math.sin(angle)), - width=foot_width, height=foot_height, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) - ax.add_patch(rec) - plt.show() - - if __name__ == "__main__": bipedal_planner = BipedalPlanner() From 36c423141b2293d95e088477e713737d2c94449e Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:08:48 +0900 Subject: [PATCH 08/14] add __init__.py in Bipedal --- Bipedal/__init__.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Bipedal/__init__.py diff --git a/Bipedal/__init__.py b/Bipedal/__init__.py new file mode 100644 index 0000000000..e69de29bb2 From 11ba0560da1b517e97c01dc078a80ab76ffe8aa3 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:09:01 +0900 Subject: [PATCH 09/14] add animation.gif in bipedal_planner --- Bipedal/bipedal_planner/animation.gif | Bin 0 -> 4864213 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 Bipedal/bipedal_planner/animation.gif diff --git a/Bipedal/bipedal_planner/animation.gif b/Bipedal/bipedal_planner/animation.gif new file mode 100644 index 0000000000000000000000000000000000000000..d7851060d2db2b864efaa6b59272e3d63a35c817 GIT binary patch literal 4864213 zcmW(cbyO3M^OJ7rR%ud?LM}u?@1nE-ghS7|Yj?pk0q`P~xq=2ZjfYbdxzwdwd 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z6m5;E@RTkr;+zJ675A9zLDIM3c$EdO=JM`{V~o)U59ALt{@^B<7*$#_$4beB70vJQ_OaHkgRYg_@Bjq@U-CvToQM>}Ai2)w6Ohv!k7^a~oaIepRWvE$&v4vY7=5Otr%kfo7JClsrxMxZ{med-&qp^1ioacO^S~^SiYO WaHpXKuz`LPJfqH*36N7A5CA)|pwiC( From 2a94346244ffbb337b9c3149cd5e5077b8800b32 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sun, 27 Jan 2019 13:19:42 +0900 Subject: [PATCH 13/14] fix bug for LGTM errors --- Bipedal/bipedal_planner/bipedal_planner.py | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index cdab8156dc..dd4c5901e9 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -37,7 +37,7 @@ def inverted_pendulum(self, x, x_dot, px_star, y, y_dot, py_star, z_c, time_widt 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.ref_footsteps == None: + if self.ref_footsteps is None: print("No footsteps") return @@ -124,20 +124,20 @@ def walk(self, T_sup=0.8, z_c=0.8, a=10, b=1, plot=False): # foot rectangle for self.ref_p foot_width = 0.06 foot_height = 0.04 - for i in range(len(self.ref_p)): - angle = self.ref_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + for j in range(len(self.ref_p)): + angle = self.ref_p[j][2] + math.atan2(foot_height, foot_width) - math.pi r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) - rec = pat.Rectangle(xy = (self.ref_p[i][0] + r * math.cos(angle), self.ref_p[i][1] + r * math.sin(angle)), - width=foot_width, height=foot_height, angle=self.ref_p[i][2] * 180 / math.pi, color="blue", fill=False, ls=":") + rec = pat.Rectangle(xy = (self.ref_p[j][0] + r * math.cos(angle), self.ref_p[j][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.ref_p[j][2] * 180 / math.pi, color="blue", fill=False, ls=":") ax.add_patch(rec) art3d.pathpatch_2d_to_3d(rec, z=0, zdir="z") # foot rectangle for self.act_p - for i in range(len(self.act_p)): - angle = self.act_p[i][2] + math.atan2(foot_height, foot_width) - math.pi + for j in range(len(self.act_p)): + angle = self.act_p[j][2] + math.atan2(foot_height, foot_width) - math.pi r = math.sqrt(math.pow(foot_width / 3., 2) + math.pow(foot_height / 2., 2)) - rec = pat.Rectangle(xy = (self.act_p[i][0] + r * math.cos(angle), self.act_p[i][1] + r * math.sin(angle)), - width=foot_width, height=foot_height, angle=self.act_p[i][2] * 180 / math.pi, color="blue", fill=False) + rec = pat.Rectangle(xy = (self.act_p[j][0] + r * math.cos(angle), self.act_p[j][1] + r * math.sin(angle)), + width=foot_width, height=foot_height, angle=self.act_p[j][2] * 180 / math.pi, color="blue", fill=False) ax.add_patch(rec) art3d.pathpatch_2d_to_3d(rec, z=0, zdir="z") From 8393290dcdeef6f38a041f39a65daea720cbe289 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sun, 27 Jan 2019 13:28:26 +0900 Subject: [PATCH 14/14] update README.md --- README.md | 12 ++++++++++++ 1 file changed, 12 insertions(+) diff --git a/README.md b/README.md index 0f903700c8..217e0e8083 100644 --- a/README.md +++ b/README.md @@ -58,6 +58,8 @@ Python codes for robotics algorithm. * [Aerial Navigation](#aerial-navigation) * [drone 3d trajectory following](#drone-3d-trajectory-following) * [rocket powered landing](#rocket-powered-landing) + * [Bipedal](#bipedal) + * [bipedal planner with inverted pendulum](#bipedal-planner-with-inverted-pendulum) * [License](#license) * [Use-case](#use-case) * [Contribution](#contribution) @@ -525,6 +527,16 @@ Ref: - [notebook](https://github.com/AtsushiSakai/PythonRobotics/blob/master/AerialNavigation/rocket_powered_landing/rocket_powered_landing.ipynb) +# Bipedal + +## bipedal planner with inverted pendulum + +This is an bipedal planner of modifying footsteps with inverted pendulum. + +You can set the footsteps and automatically planner will modify those. + +![3](https://github.com/AtsushiSakai/PythonRobotics/blob/master/Bipedal/bipedal_planner/animation.gif) + # License MIT

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z6m5;E@RTkr;+zJ675A9zLDIM3c$EdO=JM`{V~o)U59ALt{@^B<7*$#_$4beB70vJQ_OaHkgRYg_@Bjq@U-CvToQM>}Ai2)w6Ohv!k7^a~oaIepRWvE$&v4vY7=5Otr%kfo7JClsrxMxZ{med-&qp^1ioacO^S~^SiYO WaHpXKuz`LPJfqH*36N7A5CA)|pwiC( literal 0 HcmV?d00001 From 9907323111e69ca8ce1e1d45b8f3af974072d023 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:13:28 +0900 Subject: [PATCH 10/14] add bipedal_walk.py --- Bipedal/bipedal_planner/bipedal_planner.py | 4 ++++ Bipedal/bipedal_planner/bipedal_walk.py | 19 +++++++++++++++++++ 2 files changed, 23 insertions(+) create mode 100644 Bipedal/bipedal_planner/bipedal_walk.py diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index 284ab03f6b..ec5d46861d 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -1,3 +1,7 @@ +""" +Class for bipedal walking planner +Author: Takayuki Murooka (takayuki5168) +""" import numpy as np import math from matplotlib import pyplot as plt diff --git a/Bipedal/bipedal_planner/bipedal_walk.py b/Bipedal/bipedal_planner/bipedal_walk.py new file mode 100644 index 0000000000..58be9b7cee --- /dev/null +++ b/Bipedal/bipedal_planner/bipedal_walk.py @@ -0,0 +1,19 @@ +""" +Bipedal Walking with modifying designated footsteps +Author: Takayuki Murooka (takayuki5168) +""" +from bipedal_planner import BipedalPlanner + +def main(): + bipedal_planner = BipedalPlanner() + + footsteps = [[0.0, 0.2, 0.0], + [0.3, 0.2, 0.0], + [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) + +if __name__ == "__main__": + main() From a0e32b33895ab4576282f294279b9b07a455011a Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:15:21 +0900 Subject: [PATCH 11/14] sample program in bipedal_planner.py --- Bipedal/bipedal_planner/bipedal_planner.py | 4 ++-- Bipedal/bipedal_planner/bipedal_walk.py | 19 ------------------- 2 files changed, 2 insertions(+), 21 deletions(-) delete mode 100644 Bipedal/bipedal_planner/bipedal_walk.py diff --git a/Bipedal/bipedal_planner/bipedal_planner.py b/Bipedal/bipedal_planner/bipedal_planner.py index ec5d46861d..cdab8156dc 100644 --- a/Bipedal/bipedal_planner/bipedal_planner.py +++ b/Bipedal/bipedal_planner/bipedal_planner.py @@ -1,6 +1,6 @@ """ -Class for bipedal walking planner -Author: Takayuki Murooka (takayuki5168) +Bipedal Walking with modifying designated footsteps +author: Takayuki Murooka (takayuki5168) """ import numpy as np import math diff --git a/Bipedal/bipedal_planner/bipedal_walk.py b/Bipedal/bipedal_planner/bipedal_walk.py deleted file mode 100644 index 58be9b7cee..0000000000 --- a/Bipedal/bipedal_planner/bipedal_walk.py +++ /dev/null @@ -1,19 +0,0 @@ -""" -Bipedal Walking with modifying designated footsteps -Author: Takayuki Murooka (takayuki5168) -""" -from bipedal_planner import BipedalPlanner - -def main(): - bipedal_planner = BipedalPlanner() - - footsteps = [[0.0, 0.2, 0.0], - [0.3, 0.2, 0.0], - [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) - -if __name__ == "__main__": - main() From 408d6f0d664314f7b4504c127fedae637f5c2b06 Mon Sep 17 00:00:00 2001 From: Takayuki Murooka Date: Sat, 26 Jan 2019 23:27:52 +0900 Subject: [PATCH 12/14] modify animation.gif --- Bipedal/bipedal_planner/animation.gif | Bin 4864213 -> 1136302 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/Bipedal/bipedal_planner/animation.gif b/Bipedal/bipedal_planner/animation.gif index d7851060d2db2b864efaa6b59272e3d63a35c817..ab163cf479cb3759616e55dab9ed2791a0ef31a0 100644 GIT binary patch literal 1136302 zcmX7ubyySL+lNPQW56hZ(PMN-mmshW7$J<5?iM8kzm!M}7~S2SN=pbxGg4Ymln@XJ zB?T1a^>@AZb+YN z1O`#oFn_xtYe@BfS|DljncdFWN>i_p;Skm&IBn3$MY++||wTH-)r zO3GDgYHD`DRqjY$etv#I&Qd|n_ma|*QYzi@+R}>hipuh)zKi zyt;hZSpTxA>(#4QO|N>J{-5UV=9cE>u8*xvZLKXWt!=Gsua?`IJKMT?+TL8Xziw~u 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