#! /usr/bin/env python import numpy as np import matplotlib.pyplot as plt from matplotlib import animation from utils import compute_path_from_wp from cvxpy_mpc import optimize import sys import time SIM_START_X=0 SIM_START_Y=2 SIM_START_H=0 # Classes class MPC(): def __init__(self): # State for the robot mathematical model [x,y,heading] self.state = [SIM_START_X, SIM_START_Y, SIM_START_H] # Sim step self.dt = 0.25 # starting guess output N = 5 #number of state variables M = 2 #number of control variables T = 20 #Prediction Horizon self.opt_u = np.zeros((M,T)) self.opt_u[0,:] = 1 #m/s self.opt_u[1,:] = np.radians(0) #rad/s # Interpolated Path to follow given waypoints self.path = compute_path_from_wp([0,20,30,30],[0,0,10,20]) # Sim help vars self.sim_time=0 self.x_history=[] self.y_history=[] self.v_history=[] self.w_history=[] #Initialise plot plt.style.use("ggplot") self.fig = plt.figure() plt.ion() plt.show() def run(self): ''' ''' while 1: if self.state is not None: #optimization loop start=time.time() self.opt_u = optimize(self.state, self.opt_u, self.path) print("CVXPY Optimization Time: {:.4f}s".format(time.time()-start)) self.update_sim(self.opt_u[0,1],self.opt_u[1,1]) self.plot_sim() def update_sim(self,lin_v,ang_v): ''' Updates state. :param lin_v: float :param ang_v: float ''' self.state[0] = self.state[0] +lin_v*np.cos(self.state[2])*self.dt self.state[1] = self.state[1] +lin_v*np.sin(self.state[2])*self.dt self.state[2] = self.state[2] +ang_v*self.dt def plot_sim(self): self.sim_time = self.sim_time+self.dt self.x_history.append(self.state[0]) self.y_history.append(self.state[1]) self.v_history.append(self.opt_u[0,1]) self.w_history.append(self.opt_u[1,1]) plt.clf() plt.title("MPC Simulation \n" + "Simulation elapsed time {}s".format(self.sim_time)) grid = plt.GridSpec(2, 3) plt.subplot(grid[0:2, 0:2]) # self.ax = plt.axes(xlim=(np.min(self.path[0,:])-1, np.max(self.path[0,:])+1), # ylim=(np.min(self.path[1,:])-1, np.max(self.path[1,:])+1)) plt.plot(self.path[0,:],self.path[1,:], c='tab:orange', marker=".", label="reference track") plt.plot(self.x_history, self.y_history, c='tab:blue', marker=".", alpha=0.5, label="vehicle trajectory") plt.plot(self.x_history[-1], self.y_history[-1], c='tab:blue', marker=".", markersize=12, label="vehicle position") plt.ylabel('map y') plt.xlabel('map x') plt.legend() plt.subplot(grid[0, 2]) plt.plot(self.v_history,c='tab:orange') plt.ylabel('v(t) [m/s]') plt.subplot(grid[1, 2]) plt.plot(np.degrees(self.w_history),c='tab:orange') plt.ylabel('w(t) [deg/s]') plt.tight_layout() plt.draw() plt.pause(0.1) def do_sim(): sim=MPC() try: sim.run() except Exception as e: sys.exit(e) if __name__ == '__main__': do_sim()