if __name__ == "__main__": import cv2 import path_generator import sys sys.path.append("../") from wmr_model import KinematicModel # Path path = path_generator.path2() img_path = np.ones((600,600,3)) for i in range(path.shape[0]-1): cv2.line(img_path, (int(path[i,0]), int(path[i,1])), (int(path[i+1,0]), int(path[i+1,1])), (1.0,0.5,0.5), 1) # Initialize Car car = KinematicModel() car.init_state((50,300,0)) start = (50,300,0) controller = PurePursuitControl() controller.set_path(path) while(True): print("\rState: "+car.state_str(), end="\t") # ================= Control Algorithm ================= # PID Longitude Control end_dist = np.hypot(path[-1,0]-car.x, path[-1,1]-car.y) target_v = 40 if end_dist > 265 else 0 next_a = 0.1*(target_v - car.v) # Pure Pursuit Lateral Control state = {"x":car.x, "y":car.y, "yaw":car.yaw, "v":car.v}
import cv2 import path_generator import sys sys.path.append("../") from wmr_model import KinematicModel # Path path = path_generator.path2() img_path = np.ones((600,600,3)) for i in range(path.shape[0]-1): cv2.line(img_path, (int(path[i,0]), int(path[i,1])), (int(path[i+1,0]), int(path[i+1,1])), (1.0,0.5,0.5), 1) # Initialize Car car = KinematicModel() start = (50,300,0) car.init_state(start) controller = StanleyControl(kp=0.5) controller.set_path(path) while(True): print("\rState: "+car.state_str(), end="\t") # Longitude Control end_dist = np.hypot(path[-1,0]-car.x, path[-1,1]-car.y) next_v = 20 if end_dist > 10 else 0 # Stanley Lateral Control state = {"x":car.x, "y":car.y, "yaw":car.yaw, "v":car.v} next_w, target = controller.feedback(state) car.control(next_v, next_w)
def main(): window_name = "Fast-SLAM Demo" cv2.namedWindow(window_name) img = np.ones((500, 500, 3)) init_pos = (100, 200, 0) lsize = 60 detect_dist = 150 psize = 30 landmarks = [] for i in range(lsize): rx = np.random.randint(10, 490) ry = np.random.randint(10, 490) landmarks.append((rx, ry)) # Simulation Model car = KinematicModel() car.init_state(init_pos) pf = ParticleFilter((car.x, car.y, car.yaw), psize=psize) while (True): ################################### # Simulate Control ################################### u = (car.v, car.w, car.dt) # Add Control Noise car.v += np.random.randn() * 0.00002 * u[0]**2 + 0.00002 * u[1]**2 car.w += np.random.randn() * 0.00002 * u[0]**2 + 0.00002 * u[1]**2 car.update() print("\rState: " + car.state_str() + "| Neff:" + str(pf.Neff), end="\t") ################################### # Simulate Observation ################################### r = np.array(landmarks) - np.array((car.x, car.y)) dist = np.hypot(r[:, 0], r[:, 1]) detect_ids = np.where(dist < detect_dist)[0] detect_lms = np.array(landmarks)[detect_ids] obs = [] for i in range(detect_lms.shape[0]): lm = detect_lms[i] r = np.sqrt((car.x - lm[0])**2 + (car.y - lm[1])**2) phi = np.rad2deg(np.arctan2(lm[1] - car.y, lm[0] - car.x)) - car.yaw # Add Observaation Noise r = r + np.random.randn() * R_sim[0, 0]**0.5 phi = phi + np.random.randn() * R_sim[1, 1]**0.5 # Normalize Angle phi = phi % 360 if phi > 180: phi -= 360 obs.append((r, phi)) ################################### # SLAM Algorithm ################################### pf.prediction(u) pf.update_obs(obs, detect_ids) pf.resample() ################################### # Render Canvas ################################### img_ = img.copy() # Draw Landmark for lm in landmarks: cv2.circle(img_, lm, 3, (0.2, 0.5, 0.2), 1) for i in range(detect_lms.shape[0]): lm = detect_lms[i] cv2.line(img_, (int(car.x), int(car.y)), (int(lm[0]), int(lm[1])), (0, 1, 0), 1) # Draw Trajectory start_cut = 100 for j in range(psize): path_size = len(pf.particles[j].path) start = 0 if path_size < start_cut else path_size - start_cut for i in range(start, path_size - 1): cv2.line(img_, (int(pf.particles[j].path[i][0]), int(pf.particles[j].path[i][1])), (int(pf.particles[j].path[i + 1][0]), int(pf.particles[j].path[i + 1][1])), (1, 0.7, 0.7), 1) # Draw Best Trajectory start_cut = 1000 bid = np.argmax(np.array(pf.weights)) path_size = len(pf.particles[bid].path) start = 0 if path_size < start_cut else path_size - start_cut for i in range(start, path_size - 1): cv2.line(img_, (int(pf.particles[bid].path[i][0]), int(pf.particles[bid].path[i][1])), (int(pf.particles[bid].path[i + 1][0]), int(pf.particles[bid].path[i + 1][1])), (1, 0, 0), 1) # Draw Particle for j in range(psize): cv2.circle( img_, (int(pf.particles[j].pos[0]), int(pf.particles[j].pos[1])), 2, (1, 0.0, 0.0), 1) cv2.circle(img_, (int(car.x), int(car.y)), detect_dist, (0, 1, 0), 1) # Render Car img_ = car.render(img_) img_ = cv2.flip(img_, 0) cv2.imshow(window_name, img_) ################################### # Keyboard ################################### k = cv2.waitKey(1) if k == ord("w"): car.v += 4 elif k == ord("s"): car.v += -4 if k == ord("a"): car.w += 5 elif k == ord("d"): car.w += -5 elif k == ord("r"): car.init_state(init_pos) pf.init_pf(init_pos) print("Reset!!") if k == 27: print() break
def main(): # Parameters N_PARTICLES = 40 # Number of Particles N_LANDMARKS = 80 # Number of Landmarks PERCEPTUAL_RANGE = 120 # Landmark Detection Range MOTION_NOISE = np.array([1e-5, 1e-2, 1e-5, 1e-2, 1e-5, 1e-2]) # Motion Noise Qt_sim = np.diag([4, np.deg2rad(4)])**2 # Observation Noise # Create landmarks landmarks = [] for i in range(N_LANDMARKS): rx = np.random.randint(10, 490) ry = np.random.randint(10, 490) landmarks.append((rx, ry)) # Initialize environment window_name = "Fast-SLAM Demo" cv2.namedWindow(window_name) img = np.ones((500, 500, 3)) init_pos = (250, 100, 0) car = KinematicModel(motion_noise=MOTION_NOISE) car.init_state(init_pos) car.v = 24 car.w = np.deg2rad(10) path_odometry = [(init_pos)] # Create particle filter pf = ParticleFilter((car.x, car.y, car.yaw), Qt_sim, MOTION_NOISE, psize=N_PARTICLES) while (True): ################################### # Simulate Controlling ################################### u = (car.v, car.w, car.dt) car.update() # TODO(Lab-4): Remove the comment after complete the motion model. #''' pos_odometry = motion_model(path_odometry[-1], u) path_odometry.append(pos_odometry) #''' print("\rState: " + car.state_str() + " | Neff:" + str(pf.Neff)[0:7], end="\t") ################################### # Simulate Observation ################################### rvec = np.array(landmarks) - np.array((car.x, car.y)) dist = np.hypot(rvec[:, 0], rvec[:, 1]) landmarks_id = np.where( dist < PERCEPTUAL_RANGE)[0] # Detected Landmark ids landmarks_detect = np.array(landmarks)[ landmarks_id] # Detected Landmarks z = [] for i in range(landmarks_detect.shape[0]): lm = landmarks_detect[i] r = dist[landmarks_id[i]] phi = np.arctan2(lm[1] - car.y, lm[0] - car.x) - car.yaw # Add Observation Noise r = r + np.random.randn() * Qt_sim[0, 0]**0.5 phi = phi + np.random.randn() * Qt_sim[1, 1]**0.5 phi = normalize_angle(phi) z.append((r, phi)) ################################### # SLAM Algorithm ################################### # TODO(Lab-0): Remove the comment after complete the class. #''' pf.sample(u) pf.update(z, landmarks_id) pf.resample() #''' ################################### # Render Canvas ################################### img_ = img.copy() # Draw landmark for lm in landmarks: cv2.circle(img_, lm, 3, (0.1, 0.7, 0.1), 1) for i in range(landmarks_detect.shape[0]): lm = landmarks_detect[i] cv2.line(img_, (int(car.x), int(car.y)), (int(lm[0]), int(lm[1])), (0, 1, 0), 1) # Draw path for i in range(N_PARTICLES): draw_path(img_, pf.particles[i].path, 100, (1, 0.7, 0.7)) bid = np.argmax(np.array(pf.weights)) draw_path(img_, pf.particles[bid].path, 1000, (1, 0, 0)) # Draw Best Path draw_path(img_, path_odometry, 1000, (0, 0, 0)) # Draw Odometry Path # Draw particle pose for i in range(N_PARTICLES): cv2.circle( img_, (int(pf.particles[i].pos[0]), int(pf.particles[i].pos[1])), 2, (1, 0, 0), 1) # Draw maps of particles ''' for lm in pf.particles[i].landmarks: lx = pf.particles[i].landmarks[lm]["mu"][0,0] ly = pf.particles[i].landmarks[lm]["mu"][1,0] cv2.circle(img_, (int(lx),int(ly)), 2, (1,0,0), 1) ''' # Draw map of best particle for lid in pf.particles[bid].landmarks: mean = pf.particles[bid].landmarks[lid]["mu"].reshape(2) cov = pf.particles[bid].landmarks[lid]["sig"] draw_ellipse(img_, mean, cov, (0, 0, 1)) cv2.circle(img_, (int(car.x), int(car.y)), PERCEPTUAL_RANGE, (0, 1, 0), 1) # Draw Detect Range img_ = car.render(img_) # Render Car img_ = cv2.flip(img_, 0) cv2.imshow(window_name, img_) ################################### # Keyboard ################################### k = cv2.waitKey(1) #1 if k == ord("w"): car.v += 4 elif k == ord("s"): car.v += -4 if k == ord("a"): car.w += 5 elif k == ord("d"): car.w += -5 elif k == ord("r"): car.init_state(init_pos) pf = ParticleFilter((car.x, car.y, car.yaw), Qt_sim, MOTION_NOISE, psize=N_PARTICLES) path_odometry = [(init_pos)] print("Reset!!") if k == 27: print() break
def main(): window_name = "EKF SLAM Demo" cv2.namedWindow(window_name) img = np.ones((500, 500, 3)) init_pos = (100, 200, 0) landmarks = [(100, 80), (400, 100), (300, 450)] # Simulation Model car = KinematicModel() car.init_state(init_pos) # slam = EkfSLAM() slam.init_pos(init_pos) pos_now = init_pos path = [pos_now] while (True): car.update() img_ = img.copy() print("\rState: " + car.state_str(), end="\t") # Simulate Observation obs = [] for lm in landmarks: r = np.sqrt((car.x - lm[0])**2 + (car.y - lm[1])**2) phi = np.rad2deg(np.arctan2(lm[1] - car.y, lm[0] - car.x)) - car.yaw obs.append((r, phi)) slam.ekf_prediction(car.v, car.w, car.dt) print(slam.x[0:3]) # Draw Landmark for lm in landmarks: cv2.circle(img_, lm, 3, (0.2, 0.2, 0.8), 2) cv2.line(img_, (int(car.x), int(car.y)), lm, (0, 1, 0), 1) # Draw Predict Path for i in range(len(path) - 1): cv2.line(img_, (int(path[i][0]), int(path[i][1])), (int(path[i + 1][0]), int(path[i + 1][1])), (1, 0.5, 0.5), 1) img_ = car.render(img_) img_ = cv2.flip(img_, 0) cv2.imshow(window_name, img_) # Noise x_noise = np.random.randn() * Q_sim[0, 0]**0.5 y_noise = np.random.randn() * Q_sim[1, 1]**0.5 yaw_noise = np.random.randn() * Q_sim[2, 2]**0.5 # Keyboard k = cv2.waitKey(1) car.x += x_noise car.y += y_noise car.yaw += yaw_noise if k == ord("w"): car.v += 4 elif k == ord("s"): car.v += -4 if k == ord("a"): car.w += 5 elif k == ord("d"): car.w += -5 elif k == ord("r"): car.init_state(init_pos) nav_pos = None path = None print("Reset!!") if k == 27: print() break pos_now = velocity_motion_model(pos_now, car.v, car.w, car.dt) path.append(pos_now)