from map import Map import numpy as np from reference_path import ReferencePath from spatial_bicycle_models import SimpleBicycleModel, ExtendedBicycleModel import matplotlib.pyplot as plt from MPC import MPC from time import time if __name__ == '__main__': # Create Map map = Map(file_path='map_race.png', origin=[-1, -2], resolution=0.005) #map = Map(file_path='map_floor2.png') # Specify waypoints wp_x = [-0.75, -0.25, -0.25, 0.25, 0.25, 1.25, 1.25, 0.75, 0.75, 1.25, 1.25, -0.75, -0.75, -0.25] wp_y = [-1.5, -1.5, -0.5, -0.5, -1.5, -1.5, -1, -1, -0.5, -0.5, 0, 0, -1.5, -1.5] #wp_x = [-9.169, 11.9, 7.3, -6.95] #wp_y = [-15.678, 10.9, 14.5, -3.31] # Specify path resolution path_resolution = 0.05 # m / wp # Smooth Path reference_path = ReferencePath(map, wp_x, wp_y, path_resolution, smoothing_distance=5) rx = [wp.x for wp in reference_path.waypoints] ry = [wp.y for wp in reference_path.waypoints] ################ # Motion Model # ################ # initial state e_y_0 = 0.0 e_psi_0 = 0.0 v_x_0 = 0.3 v_y_0 = 0 omega_0 = 0 t_0 = 0 # initialize car car = SimpleBicycleModel(reference_path=reference_path, e_y=e_y_0, e_psi=e_psi_0, v=v_x_0) #car = ExtendedBicycleModel(reference_path=reference_path, # e_y=e_y_0, e_psi=e_psi_0, v_x=v_x_0, v_y=v_y_0, # omega=omega_0, t=t_0) ############## # Controller # ############## # path tracker T = 10 Q = np.diag([0.1, 0.001, 0.1]) Qf = Q #Q = np.diag([1, 0, 0, 0, 0, 0]) #Qf = Q R = np.diag([0, 0]) StateConstraints = {'e_y': (-0.1, 0.1), 'v': (0, 4)} InputConstraints = {'D': (-1, 1), 'delta': (-0.44, 0.44)} Reference = {'e_y': 0, 'e_psi': 0, 'v': 4.0} #Reference = {'e_y': 0, 'e_psi': 0, 'v_x': 1.0, 'v_y': 0, 'omega': 0, 't':0} mpc = MPC(car, T, Q, R, Qf, StateConstraints, InputConstraints, Reference) ############## # Simulation # ############## # logging containers x_log = [car.temporal_state.x] y_log = [car.temporal_state.y] psi_log = [car.temporal_state.psi] v_log = [car.temporal_state.v_x] D_log = [] delta_log = [] start_time = time() # iterate over waypoints for wp_id in range(len(car.reference_path.waypoints)-T-1): print('V: {:.2f}'.format(car.temporal_state.v_x)) # get control signals D, delta = mpc.get_control() # drive car car.drive(delta, D) # log current state x_log.append(car.temporal_state.x) y_log.append(car.temporal_state.y) v_log.append(car.temporal_state.v_x) D_log.append(D) delta_log.append(delta) ################### # Plot Simulation # ################### # plot path car.reference_path.show() # plot car trajectory and velocity plt.scatter(x_log, y_log, c='g', s=15) # plot mpc prediction if mpc.current_prediction is not None: x_pred = mpc.current_prediction[0] y_pred = mpc.current_prediction[1] plt.scatter(x_pred, y_pred, c='b', s=10) plt.title('MPC Simulation: Position: {:.2f} m, {:.2f} m, Velocity: ' '{:.2f} m/s'.format(car.temporal_state.x, car.temporal_state.y, car.temporal_state.v_x)) plt.xticks([]) plt.yticks([]) plt.pause(0.0000001) end_time = time() print('Time Elapsed: {:.2f} s'.format(end_time-start_time)) plt.close()