From fb61427748bff452e7ee545f986a4048a606f97a Mon Sep 17 00:00:00 2001 From: Atsushi Sakai Date: Fri, 14 Jul 2017 16:31:46 -0700 Subject: [PATCH] add new animation --- .../NeuralNetworkRegression/simple_sample.py | 18 ++ .../NeuralNetworkRegression/simple_sample2.py | 17 ++ PathPlanning/LatticePlanner/animation2.gif | Bin 0 -> 540034 bytes .../model_predictive_trajectory_generator.py | 168 +++++++----------- 4 files changed, 97 insertions(+), 106 deletions(-) create mode 100644 MachineLearning/NeuralNetworkRegression/simple_sample.py create mode 100644 MachineLearning/NeuralNetworkRegression/simple_sample2.py create mode 100644 PathPlanning/LatticePlanner/animation2.gif diff --git a/MachineLearning/NeuralNetworkRegression/simple_sample.py b/MachineLearning/NeuralNetworkRegression/simple_sample.py new file mode 100644 index 00000000..078c13e0 --- /dev/null +++ b/MachineLearning/NeuralNetworkRegression/simple_sample.py @@ -0,0 +1,18 @@ +from sklearn.neural_network import MLPRegressor +from matplotlib import pyplot as plt + +# create Trainig Dataset +train_x = [[x] for x in range(200)] +train_y = [x[0]**2 for x in train_x] + +# create neural net regressor +reg = MLPRegressor(solver="lbfgs") +reg.fit(train_x, train_y) + +predict = reg.predict(train_x) + +plt.plot(train_x, predict, "xr", label="result") +plt.plot(train_x, train_y, label="Training data") +plt.legend() +plt.grid(True) +plt.show() diff --git a/MachineLearning/NeuralNetworkRegression/simple_sample2.py b/MachineLearning/NeuralNetworkRegression/simple_sample2.py new file mode 100644 index 00000000..f1ddb8b0 --- /dev/null +++ b/MachineLearning/NeuralNetworkRegression/simple_sample2.py @@ -0,0 +1,17 @@ +from sklearn.neural_network import MLPRegressor +from matplotlib import pyplot as plt + +# create Trainig Dataset +train_x = [[x, x, x] for x in range(200)] +train_y = [[x[0]**2, x[1] ** 1.5, x[2] + 3] for x in train_x] + +# create neural net regressor +reg = MLPRegressor(solver="lbfgs") +reg.fit(train_x, train_y) +predict = reg.predict(train_x) + +plt.plot(train_x, predict, "xr", label="result") +plt.plot(train_x, train_y, label="Training data") +plt.legend() +plt.grid(True) +plt.show() diff --git a/PathPlanning/LatticePlanner/animation2.gif b/PathPlanning/LatticePlanner/animation2.gif new file mode 100644 index 0000000000000000000000000000000000000000..0b8ad821e5e38596645a368f99a295e9f43e29d8 GIT binary patch literal 540034 zcmbqaQ+Fi{tZh5BZQJd%Q@c~!wrzVlwWqdi+qP|=+CBB@{qFq>H;;M9!_G=pvUegW zEy2xW3Tp8ag^U1_lNuCMFgZ7B)6E4h{}3E-oG(9zH%k0RaIaAt4bF5iv0_ z2?+@)DJdBl896yQ1qB5qB_$OV6*VBP%N_CnqN_FR!Geq^zv0qN1Xzs;aK8uA!l!si~=@rKPQ{ zt*fi6udi=lU|?uyXk=t$Y;0^|Vq$J?Zed|zX=!O~ZEbIF@8ICz=;-L|?Cj#=;^yY& z?(Xj4;o;@w+9?1=jZS59}o}_7#R2m4D25mSQ-XK4Jv8{CFLj>*aQZ~CMqfr z4D1^W42Xd-N=fK_O$H)Ks z_b)LqF*!LoB_$;_H8njwJtHF{D=RBIJ3B8gFF!xOprD|zu&}texTK_{w6wIWtgND< zqPn`ewzjseuCBG9puWDop`oF%v9YPCskynit*x!Sy}hHOqqDQKtE;QKySt~Sr?9v>f{ zo}QkcpMgN&%gf8_>+9Rw+xz?b$H&L#=jYeg*Z0>K2n726{tw#!uaUh$g2De6gzOtZ 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z!ENsWnTD)hbR|mZ&lE~FiA@=jnmcyS#9c7~(Z2bAxck{kfp<_=z$NUPerItv^-Cb( z$WY12*^@4&33!CW*anr~WgiDsZIrUcCT;d*Kc7}D#CU9zq5X2;aa=9bPGjrd^5vl9 zL~Y!cu`TxN%OM4-x`arLZ7vopLPe`CDSd34M+Q5r6IYi~qOrqojvXv^*rPc6_aUAnn=4vV-uAz`ub6?H;YC2=0p;%&kU(4@m21eCb>aVPMpqG6$TdLJq zZajWq)P6Mwk87;7(>yd=zM5~DXsrG+erR=lwa`t~1dr4_vSGPKA+(z6(#MZ%Wv&;I taZL>+n#Ui_ua{60O-;>sAkFW38BNvPGNgIpo_)RYe}^1|7(f7-{{mE^lI;Kh literal 0 HcmV?d00001 diff --git a/PathPlanning/LatticePlanner/model_predictive_trajectory_generator.py b/PathPlanning/LatticePlanner/model_predictive_trajectory_generator.py index cf2383e6..f02f3907 100644 --- a/PathPlanning/LatticePlanner/model_predictive_trajectory_generator.py +++ b/PathPlanning/LatticePlanner/model_predictive_trajectory_generator.py @@ -5,69 +5,16 @@ author: Atsushi Sakai """ import numpy as np -import scipy.interpolate import matplotlib.pyplot as plt import math +import motion_model from matplotrecorder import matplotrecorder -L = 1.0 -ds = 0.1 +# optimization parameter +maxiter = 1000 +h = np.matrix([0.1, 0.002, 0.002]).T # parameter sampling distanse - -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 generate_trajectory(s, km, kf, k0): - - n = s / ds - v = 10.0 / 3.6 # [m/s] - time = s / v # [s] - tk = np.array([0.0, time / 2.0, time]) - kk = np.array([k0, km, kf]) - t = np.arange(0.0, time, time / n) - kp = scipy.interpolate.spline(tk, kk, t, order=2) - dt = time / n - - # plt.plot(t, kp) - # plt.show() - - state = State() - x, y, yaw = [state.x], [state.y], [state.yaw] - - for ikp in kp: - state = update(state, v, ikp, dt, L) - x.append(state.x) - y.append(state.y) - yaw.append(state.yaw) - - return x, y, yaw - - -def update(state, v, delta, dt, L): - - state.v = v - 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.yaw = pi_2_pi(state.yaw) - - return state - - -def pi_2_pi(angle): - while(angle > math.pi): - angle = angle - 2.0 * math.pi - - while(angle < -math.pi): - angle = angle + 2.0 * math.pi - - return angle +# matplotrecorder.donothing = True def plot_arrow(x, y, yaw, length=1.0, width=0.5, fc="r", ec="k"): @@ -81,35 +28,39 @@ def plot_arrow(x, y, yaw, length=1.0, width=0.5, fc="r", ec="k"): def calc_diff(target, x, y, yaw): - d = np.array([x[-1] - target.x, y[-1] - target.y, yaw[-1] - target.yaw]) + d = np.array([target.x - x[-1], + target.y - y[-1], + motion_model.pi_2_pi(target.yaw - yaw[-1])]) + return d def calc_J(target, p, h, k0): - xp, yp, yawp = generate_trajectory(p[0, 0] + h[0, 0], p[1, 0], p[2, 0], k0) - dp = calc_diff(target, xp, yp, yawp) - # xn, yn, yawn = generate_trajectory(p[0, 0] - h[0, 0], p[1, 0], p[2, 0], k0) - # dn = calc_diff(target, xn, yn, yawn) - # d1 = np.matrix((dp - dn) / (2.0 * h[1, 0])).T - d1 = np.matrix(dp / h[0, 0]).T + xp, yp, yawp = motion_model.generate_last_state( + p[0, 0] + h[0, 0], p[1, 0], p[2, 0], k0) + dp = calc_diff(target, [xp], [yp], [yawp]) + xn, yn, yawn = motion_model.generate_last_state( + p[0, 0] - h[0, 0], p[1, 0], p[2, 0], k0) + dn = calc_diff(target, [xn], [yn], [yawn]) + d1 = np.matrix((dp - dn) / (2.0 * h[1, 0])).T - xp, yp, yawp = generate_trajectory(p[0, 0], p[1, 0] + h[1, 0], p[2, 0], k0) - dp = calc_diff(target, xp, yp, yawp) - # xn, yn, yawn = generate_trajectory(p[0, 0], p[1, 0] - h[1, 0], p[2, 0], k0) - # dn = calc_diff(target, xn, yn, yawn) - # d2 = np.matrix((dp - dn) / (2.0 * h[2, 0])).T - d2 = np.matrix(dp / h[1, 0]).T + xp, yp, yawp = motion_model.generate_last_state( + p[0, 0], p[1, 0] + h[1, 0], p[2, 0], k0) + dp = calc_diff(target, [xp], [yp], [yawp]) + xn, yn, yawn = motion_model.generate_last_state( + p[0, 0], p[1, 0] - h[1, 0], p[2, 0], k0) + dn = calc_diff(target, [xn], [yn], [yawn]) + d2 = np.matrix((dp - dn) / (2.0 * h[2, 0])).T - xp, yp, yawp = generate_trajectory(p[0, 0], p[1, 0], p[2, 0] + h[2, 0], k0) - dp = calc_diff(target, xp, yp, yawp) - # xn, yn, yawn = generate_trajectory(p[0, 0], p[1, 0], p[2, 0] - h[2, 0], k0) - # dn = calc_diff(target, xn, yn, yawn) - # d3 = np.matrix((dp - dn) / (2.0 * h[2, 0])).T - d3 = np.matrix(dp / h[2, 0]).T - # print(d1, d2, d3) + xp, yp, yawp = motion_model.generate_last_state( + p[0, 0], p[1, 0], p[2, 0] + h[2, 0], k0) + dp = calc_diff(target, [xp], [yp], [yawp]) + xn, yn, yawn = motion_model.generate_last_state( + p[0, 0], p[1, 0], p[2, 0] - h[2, 0], k0) + dn = calc_diff(target, [xn], [yn], [yawn]) + d3 = np.matrix((dp - dn) / (2.0 * h[2, 0])).T J = np.hstack((d1, d2, d3)) - # print(J) return J @@ -118,15 +69,17 @@ def selection_learning_param(dp, p, k0, target): mincost = float("inf") mina = 1.0 + maxa = 5.0 + da = 0.5 - for a in np.arange(1.0, 10.0, 0.5): + for a in np.arange(mina, maxa, da): tp = p[:, :] + a * dp - xc, yc, yawc = generate_trajectory(tp[0], tp[1], tp[2], k0) - dc = np.matrix(calc_diff(target, xc, yc, yawc)).T + xc, yc, yawc = motion_model.generate_last_state( + tp[0], tp[1], tp[2], k0) + dc = np.matrix(calc_diff(target, [xc], [yc], [yawc])).T cost = np.linalg.norm(dc) - # print(a, cost) - if cost <= mincost: + if cost <= mincost and a != 0.0: mina = a mincost = cost @@ -136,18 +89,29 @@ def selection_learning_param(dp, p, k0, target): return mina -def optimize_trajectory(target, k0): +def show_trajectory(target, xc, yc): - p = np.matrix([6.0, 0.0, 0.0]).T - h = np.matrix([0.1, 0.002, 0.002]).T + plt.clf() + plot_arrow(target.x, target.y, target.yaw) + plt.plot(xc, yc, "-r") + plt.axis("equal") + plt.grid(True) + plt.pause(0.1) + matplotrecorder.save_frame() - for i in range(1000): - xc, yc, yawc = generate_trajectory(p[0], p[1], p[2], k0) + +def optimize_trajectory(target, k0, p): + + for i in range(maxiter): + xc, yc, yawc = motion_model.generate_trajectory(p[0], p[1], p[2], k0) dc = np.matrix(calc_diff(target, xc, yc, yawc)).T + # print(dc.T) cost = np.linalg.norm(dc) + print("cost is:" + str(cost)) if cost <= 0.05: print("cost is:" + str(cost)) + print(p) break J = calc_J(target, p, h, k0) @@ -157,30 +121,22 @@ def optimize_trajectory(target, k0): p += alpha * np.array(dp) # print(p.T) - plt.clf() - plot_arrow(target.x, target.y, target.yaw) - plt.plot(xc, yc, "-r") - plt.axis("equal") - plt.grid(True) - plt.pause(0.1) - matplotrecorder.save_frame() + show_trajectory(target, xc, yc) - plt.clf() - plot_arrow(target.x, target.y, target.yaw) - plt.plot(xc, yc, "-r") - plt.axis("equal") - plt.grid(True) - matplotrecorder.save_frame() + show_trajectory(target, xc, yc) print("done") def test_optimize_trajectory(): - target = State(x=5.0, y=2.0, yaw=math.radians(00.0)) - k0 = -0.3 + # target = motion_model.State(x=5.0, y=2.0, yaw=math.radians(00.0)) + target = motion_model.State(x=5.0, y=2.0, yaw=math.radians(90.0)) + k0 = 0.0 - optimize_trajectory(target, k0) + init_p = np.matrix([6.0, 0.0, 0.0]).T + + optimize_trajectory(target, k0, init_p) matplotrecorder.save_movie("animation.gif", 0.1) # plt.plot(x, y, "-r") @@ -200,7 +156,7 @@ def test_trajectory_generate(): # plt.plot(t, kp) # plt.show() - x, y = generate_trajectory(s, km, kf, k0) + x, y = motion_model.generate_trajectory(s, km, kf, k0) plt.plot(x, y, "-r") plt.axis("equal")