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"""Implementation of a Quadplane UAV.""" from __future__ import annotations import math import numpy as np import yaml from pybullet_utils import bullet_client from ..abstractions.base_drone import DroneClass class Quadplane(DroneClass): """Quadplane instance that handles everything about a Quadplane.""" def __init__( self, p: bullet_client.BulletClient, start_pos: np.ndarray, start_orn: np.ndarray, ctrl_hz: int, physics_hz: int, drone_model: str = "quadplane", model_dir: None | str = None, use_camera: bool = False, use_gimbal: bool = False, camera_angle_degrees: int = 0, camera_FOV_degrees: int = 90, camera_resolution: tuple[int, int] = (128, 128), np_random: None | np.random.RandomState = None, ): """Creates a quadplane UAV and handles all relevant control and physics. Args: p (bullet_client.BulletClient): p start_pos (np.ndarray): start_pos start_orn (np.ndarray): start_orn ctrl_hz (int): ctrl_hz physics_hz (int): physics_hz model_dir (None | str): model_dir drone_model (str): drone_model use_camera (bool): use_camera use_gimbal (bool): use_gimbal camera_angle_degrees (int): camera_angle_degrees camera_FOV_degrees (int): camera_FOV_degrees camera_resolution (tuple[int, int]): camera_resolution np_random (None | np.random.RandomState): np_random """ super().__init__( p=p, start_pos=start_pos, start_orn=start_orn, ctrl_hz=ctrl_hz, physics_hz=physics_hz, model_dir=model_dir, drone_model=drone_model, np_random=np_random, ) """Reads quadplane.yaml file and load UAV parameters""" with open(self.param_path, "rb") as f: # load all params from yaml all_params = yaml.safe_load(f) # Transitional parameters self.umin = all_params["umin"] self.umax = all_params["umax"] # Main wing main_wing_params = all_params["main_wing_params"] # Left flapped wing left_wing_flapped_params = all_params["left_wing_flapped_params"] # Right flapped wing right_wing_flapped_params = all_params["right_wing_flapped_params"] # Horizontal tail horizontal_tail_params = all_params["horizontal_tail_params"] # Vertical tail vertical_tail_params = all_params["vertical_tail_params"] # Front Motor front_motor_params = all_params["front_motor_params"] self.fm_t2w = front_motor_params["thrust_to_weight"] self.fm_kf = front_motor_params["thrust_const"] self.fm_km = front_motor_params["torque_const"] self.fm_thr_coeff = np.array([0.0, 1.0, 0.0]) * self.fm_kf self.fm_tor_coeff = np.array([0.0, 1.0, 0.0]) * self.fm_km self.fm_tor_dir = np.array([[1.0]]) self.fm_noise_ratio = front_motor_params["motor_noise_ratio"] self.fm_max_rpm = np.sqrt((self.fm_t2w * 9.81) / (self.fm_kf)) self.fm_motor_tau = 0.01 # Quad Motors quad_motor_params = all_params["quad_motor_params"] self.qm_t2w = quad_motor_params["thrust_to_weight"] self.qm_kf = quad_motor_params["thrust_const"] self.qm_km = quad_motor_params["torque_const"] self.qm_thr_coeff = np.array([[0.0, 0.0, 1.0]]) * self.qm_kf self.qm_tor_coeff = np.array([[0.0, 0.0, 1.0]]) * self.qm_km self.qm_tor_dir = np.array([[1.0], [1.0], [-1.0], [-1.0]]) self.qm_noise_ratio = quad_motor_params["motor_noise_ratio"] self.qm_max_rpm = np.sqrt((self.qm_t2w * 9.81) / (self.qm_kf)) self.qm_motor_tau = 0.01 # motor mapping from command to individual motors self.motor_map = np.array( [ [-1.0, -1.0, +1.0, +1.0], [+1.0, +1.0, +1.0, +1.0], [-1.0, +1.0, -1.0, +1.0], [+1.0, -1.0, -1.0, +1.0], ] ) # Combine [ail_left, ail_right, hori_tail, main_wing, vert_tail] self.aerofoil_params = [ left_wing_flapped_params, right_wing_flapped_params, horizontal_tail_params, main_wing_params, vertical_tail_params, ] """ CAMERA """ self.use_camera = use_camera if self.use_camera: self.proj_mat = self.p.computeProjectionMatrixFOV( fov=camera_FOV_degrees, aspect=1.0, nearVal=0.1, farVal=255.0 ) self.use_gimbal = use_gimbal self.camera_angle_degrees = camera_angle_degrees self.camera_FOV_degrees = camera_FOV_degrees self.camera_resolution = np.array(camera_resolution) """ CUSTOM CONTROLLERS """ # dictionary mapping of controller_id to controller objects self.registered_controllers = dict() self.instanced_controllers = dict() self.registered_base_modes = dict() self.reset() def fm_rpm2forces(self, rpm_cmd): self.fm_rpm += (self.physics_hz / self.fm_motor_tau) * ( self.fm_max_rpm * rpm_cmd - self.fm_rpm ) rpm = np.expand_dims(self.fm_rpm, axis=1) thrust = (rpm**2) * self.fm_thr_coeff torque = (rpm**2) * self.fm_tor_coeff * self.fm_tor_dir # add some random noise to the motor output thrust += self.np_random.randn(*thrust.shape) * self.fm_noise_ratio * thrust torque += self.np_random.randn(*torque.shape) * self.fm_noise_ratio * torque self.p.applyExternalForce( self.Id, 0, thrust[0], [0.0, 0.0, 0.0], self.p.LINK_FRAME ) # self.p.applyExternalTorque(self.Id, 0, torque[0], self.p.LINK_FRAME) def qm_rpm2forces(self, rpm_cmd): self.qm_rpm += (self.physics_hz / self.qm_motor_tau) * ( self.qm_max_rpm * rpm_cmd - self.qm_rpm ) rpm = np.expand_dims(self.qm_rpm, axis=1) thrust = (rpm**2) * self.qm_thr_coeff torque = (rpm**2) * self.qm_tor_coeff * self.qm_tor_dir # add some random noise to the motor outputs thrust += self.np_random.randn(*thrust.shape) * self.qm_noise_ratio * thrust torque += self.np_random.randn(*torque.shape) * self.qm_noise_ratio * torque for idx, (thr, tor) in enumerate(zip(thrust, torque)): self.p.applyExternalForce( self.Id, (idx + 7), thr, [0.0, 0.0, 0.0], self.p.LINK_FRAME ) self.p.applyExternalTorque(self.Id, (idx + 7), tor, self.p.LINK_FRAME) def qm_cmd2rpm(self, Fz, Mpitch, Mroll, Myaw): # Mixes commands from pilot with transitional mixing (To be expanded to include lateral commands) qm_cmd = [Mpitch, Mroll, Myaw, Fz] qm_rpm_cmd = np.matmul(self.motor_map, qm_cmd) # deal with motor saturations if (high := np.max(qm_rpm_cmd)) > 1.0: qm_rpm_cmd /= high if (low := np.min(qm_rpm_cmd)) < 0.05: qm_rpm_cmd += (1.0 - qm_rpm_cmd) / (1.0 - low) * (0.05 - low) return qm_rpm_cmd def update_forces(self): Proll, eta, tau, Fz, Mpitch, Mroll, Myaw = self.cmd_mixing() qm_rpm = self.qm_cmd2rpm(Fz, Mpitch, Mroll, Myaw) # Front Motor Forces self.fm_rpm2forces(tau) # Quad Motors Forces self.qm_rpm2forces(qm_rpm) # Left aileron Forces self.left_aileron_forces(0, Proll) # Right aileron Forces self.right_aileron_forces(1, Proll) # Horizontal tail Forces self.horizontal_tail_forces(2, eta) # Main wing Forces self.main_wing_forces(3) # Vertical tail Forces self.vertical_tail_forces(4) def left_aileron_forces(self, i, Proll): vel = self.surface_vels[i] local_surface_vel = np.matmul((vel), self.rotation) alpha = np.arctan2(-local_surface_vel[2], local_surface_vel[1]) alpha_deg = np.rad2deg(alpha) defl = self.aerofoil_params[i]["defl_lim"] * Proll [Cl, Cd, CM] = self.get_aero_data(self.aerofoil_params[i], defl, alpha_deg) freestream_speed = np.linalg.norm( [local_surface_vel[1], local_surface_vel[2]] ) # Only in Y and Z directions Q = 0.5 * 1.225 * np.square(freestream_speed) # Dynamic pressure area = self.aerofoil_params[i]["chord"] * self.aerofoil_params[i]["span"] lift = Q * area * Cl drag = Q * area * Cd # Negative coz front is positive pitching_moment = Q * area * CM * self.aerofoil_params[i]["chord"] up = (lift * np.cos(alpha)) + (drag * np.sin(alpha)) front = (lift * np.sin(alpha)) - (drag * np.cos(alpha)) self.p.applyExternalForce( self.Id, self.surface_ids[i], [0, front, up], [0.0, 0.0, 0.0], self.p.LINK_FRAME, ) self.p.applyExternalTorque( self.Id, self.surface_ids[i], [pitching_moment, 0, 0], self.p.LINK_FRAME ) def right_aileron_forces(self, i, Proll): """right_aileron_forces. Args: i: Proll: """ vel = self.surface_vels[i] local_surface_vel = np.matmul((vel), self.rotation) alpha = np.arctan2(-local_surface_vel[2], local_surface_vel[1]) alpha_deg = np.rad2deg(alpha) defl = self.aerofoil_params[i]["defl_lim"] * -Proll [Cl, Cd, CM] = self.get_aero_data(self.aerofoil_params[i], defl, alpha_deg) freestream_speed = np.linalg.norm( [local_surface_vel[1], local_surface_vel[2]] ) # Only in Y and Z directions Q = 0.5 * 1.225 * np.square(freestream_speed) # Dynamic pressure area = self.aerofoil_params[i]["chord"] * self.aerofoil_params[i]["span"] lift = Q * area * Cl drag = Q * area * Cd pitching_moment = Q * area * CM * self.aerofoil_params[i]["chord"] up = (lift * np.cos(alpha)) + (drag * np.sin(alpha)) front = (lift * np.sin(alpha)) - (drag * np.cos(alpha)) self.p.applyExternalForce( self.Id, self.surface_ids[i], [0, front, up], [0.0, 0.0, 0.0], self.p.LINK_FRAME, ) self.p.applyExternalTorque( self.Id, self.surface_ids[i], [pitching_moment, 0, 0], self.p.LINK_FRAME ) def horizontal_tail_forces(self, i, eta): """horizontal_tail_forces. Args: i: eta: """ vel = self.surface_vels[i] local_surface_vel = np.matmul((vel), self.rotation) alpha = np.arctan2(-local_surface_vel[2], local_surface_vel[1]) alpha_deg = np.rad2deg(alpha) defl = self.aerofoil_params[i]["defl_lim"] * eta [Cl, Cd, CM] = self.get_aero_data(self.aerofoil_params[i], defl, alpha_deg) freestream_speed = np.linalg.norm( [local_surface_vel[1], local_surface_vel[2]] ) # Only in Y and Z directions Q = 0.5 * 1.225 * np.square(freestream_speed) # Dynamic pressure area = self.aerofoil_params[i]["chord"] * self.aerofoil_params[i]["span"] lift = Q * area * Cl drag = Q * area * Cd pitching_moment = Q * area * CM * self.aerofoil_params[i]["chord"] up = (lift * np.cos(alpha)) + (drag * np.sin(alpha)) front = (lift * np.sin(alpha)) - (drag * np.cos(alpha)) self.p.applyExternalForce( self.Id, self.surface_ids[i], [0, front, up], [0.0, 0.0, 0.0], self.p.LINK_FRAME, ) self.p.applyExternalTorque( self.Id, self.surface_ids[i], [pitching_moment, 0, 0], self.p.LINK_FRAME ) def main_wing_forces(self, i): """main_wing_forces. Args: i: """ vel = self.surface_vels[i] local_surface_vel = np.matmul((vel), self.rotation) alpha = np.arctan2(-local_surface_vel[2], local_surface_vel[1]) alpha_deg = np.rad2deg(alpha) [Cl, Cd, CM] = self.get_aero_data(self.aerofoil_params[i], 0, alpha_deg) freestream_speed = np.linalg.norm( [local_surface_vel[1], local_surface_vel[2]] ) # Only in Y and Z directions Q = 0.5 * 1.225 * np.square(freestream_speed) # Dynamic pressure area = self.aerofoil_params[i]["chord"] * self.aerofoil_params[i]["span"] lift = Q * area * Cl drag = Q * area * Cd pitching_moment = Q * area * CM * self.aerofoil_params[i]["chord"] up = (lift * np.cos(alpha)) + (drag * np.sin(alpha)) front = (lift * np.sin(alpha)) - (drag * np.cos(alpha)) self.p.applyExternalForce( self.Id, self.surface_ids[i], [0, front, up], [0, 0, 0], self.p.LINK_FRAME ) self.p.applyExternalTorque( self.Id, self.surface_ids[i], [pitching_moment, 0, 0], self.p.LINK_FRAME ) def vertical_tail_forces(self, i): """vertical_tail_forces. Args: i: """ vel = self.surface_vels[i] local_surface_vel = np.matmul((vel), self.rotation) alpha = np.arctan2(-local_surface_vel[0], local_surface_vel[1]) alpha_deg = np.rad2deg(alpha) defl = self.aerofoil_params[i]["defl_lim"] * -self.cmd[2] [Cl, Cd, CM] = self.get_aero_data(self.aerofoil_params[i], defl, alpha_deg) freestream_speed = np.linalg.norm( [local_surface_vel[0], local_surface_vel[1]] ) # Only in X and Y directions Q = 0.5 * 1.225 * np.square(freestream_speed) # Dynamic pressure area = self.aerofoil_params[i]["chord"] * self.aerofoil_params[i]["span"] lift = Q * area * Cl drag = Q * area * Cd pitching_moment = Q * area * CM * self.aerofoil_params[i]["chord"] right = (lift * np.cos(alpha)) + (drag * np.sin(alpha)) front = (lift * np.sin(alpha)) - (drag * np.cos(alpha)) self.p.applyExternalForce( self.Id, self.surface_ids[i], [right, front, 0], [0.0, 0.0, 0.0], self.p.LINK_FRAME, ) self.p.applyExternalTorque( self.Id, self.surface_ids[i], [0, 0, pitching_moment], self.p.LINK_FRAME ) def get_aero_data(self, params, defl, alpha): """Returns Cl, Cd, and CM for a given aerofoil, control surface deflection, and alpha""" AR = params["span"] / params["chord"] defl = np.deg2rad(defl) alpha = np.deg2rad(alpha) Cl_alpha_3D = params["Cl_alpha_2D"] * (AR / (AR + ((2 * (AR + 4)) / (AR + 2)))) theta_f = np.arccos((2 * params["flap_to_chord"]) - 1) tau = 1 - ((theta_f - np.sin(theta_f)) / np.pi) delta_Cl = Cl_alpha_3D * tau * params["eta"] * defl delta_Cl_max = params["flap_to_chord"] * delta_Cl alpha_stall_P_base = np.deg2rad(params["alpha_stall_P_base"]) alpha_stall_N_base = np.deg2rad(params["alpha_stall_N_base"]) alpha_0_base = np.deg2rad(params["alpha_0_base"]) Cl_max_P = Cl_alpha_3D * (alpha_stall_P_base - alpha_0_base) + delta_Cl_max Cl_max_N = Cl_alpha_3D * (alpha_stall_N_base - alpha_0_base) + delta_Cl_max alpha_0 = alpha_0_base - (delta_Cl / Cl_alpha_3D) alpha_stall_P = alpha_0 + ((Cl_max_P) / Cl_alpha_3D) alpha_stall_N = alpha_0 + ((Cl_max_N) / Cl_alpha_3D) # Check if stalled if (alpha >= alpha_stall_P) or (alpha <= alpha_stall_N): if alpha >= alpha_stall_P: # Stall calculations to find alpha_i at stall Cl_stall = Cl_alpha_3D * (alpha_stall_P - alpha_0) alpha_i_at_stall = Cl_stall / (np.pi * AR) # alpha_i post-stall Pos alpha_i = np.interp( alpha, [alpha_stall_P, np.pi / 2], [alpha_i_at_stall, 0] ) elif alpha <= alpha_stall_N: # Stall calculations to find alpha_i at stall Cl_stall = Cl_alpha_3D * (alpha_stall_N - alpha_0) alpha_i_at_stall = Cl_stall / (np.pi * AR) # alpha_i post-stall Neg alpha_i = np.interp( alpha, [-np.pi / 2, alpha_stall_N], [0, alpha_i_at_stall] ) alpha_eff = alpha - alpha_0 - alpha_i # Drag coefficient at 90 deg dependent on deflection angle Cd_90 = ( ((-4.26 * (10**-2)) * (defl**2)) + ((2.1 * (10**-1)) * defl) + 1.98 ) CN = ( Cd_90 * np.sin(alpha_eff) * ( 1 / (0.56 + 0.44 * abs(np.sin(alpha_eff))) - 0.41 * (1 - np.exp(-17 / AR)) ) ) CT = 0.5 * params["Cd_0"] * np.cos(alpha_eff) Cl = (CN * np.cos(alpha_eff)) - (CT * np.sin(alpha_eff)) Cd = (CN * np.sin(alpha_eff)) + (CT * np.cos(alpha_eff)) CM = -CN * (0.25 - (0.175 * (1 - ((2 * abs(alpha_eff)) / np.pi)))) else: # No stall Cl = Cl_alpha_3D * (alpha - alpha_0) alpha_i = Cl / (np.pi * AR) alpha_eff = alpha - alpha_0 - alpha_i CT = params["Cd_0"] * np.cos(alpha_eff) CN = (Cl + (CT * np.sin(alpha_eff))) / np.cos(alpha_eff) Cd = (CN * np.sin(alpha_eff)) + (CT * np.cos(alpha_eff)) CM = -CN * (0.25 - (0.175 * (1 - ((2 * alpha_eff) / np.pi)))) return Cl, Cd, CM def cmd_mixing(self): """Mixes the longitudinal commands [eta, tau] for plane commands and [Fz, M] for quad commands""" u = self.state[2][1] ctrl_share = (u - self.umin) / (self.umax - self.umin) # Saturate ctrl_share between [0, 1] ctrl_share = np.clip(ctrl_share, 0, 1) print(u, ctrl_share) # Plane command, eta eta = ctrl_share * -self.cmd[0] # Plane command, tau tau = ctrl_share * self.cmd[3] # Plane command, Proll Proll = ctrl_share * self.cmd[1] # Quad command, Fz Fz = (1 - ctrl_share) * self.cmd[3] # Quad command, Mpitch Mpitch = (1 - ctrl_share) * -self.cmd[0] # Quad command, Mroll Mroll = (1 - ctrl_share) * self.cmd[1] # Quad command, Myaw Myaw = (1 - ctrl_share) * -self.cmd[2] return Proll, eta, tau, Fz, Mpitch, Mroll, Myaw def update_state(self): """ang_vel, ang_pos, lin_vel, lin_pos""" lin_pos, ang_pos = self.p.getBasePositionAndOrientation(self.Id) lin_vel, ang_vel = self.p.getBaseVelocity(self.Id) # express vels in local frame rotation = np.array(self.p.getMatrixFromQuaternion(ang_pos)).reshape(3, 3).T lin_vel = np.matmul(rotation, lin_vel) ang_vel = np.matmul(rotation, ang_vel) # ang_pos in euler form ang_pos = self.p.getEulerFromQuaternion(ang_pos) self.state = np.stack([ang_vel, ang_pos, lin_vel, lin_pos], axis=0) # get the surface velocities and angles for i, id in enumerate(self.surface_ids): state = self.p.getLinkState(self.Id, id, computeLinkVelocity=True) self.surface_vels[i] = state[-2] self.orn = state[-3] self.rotation = np.array(self.p.getMatrixFromQuaternion(self.orn)).reshape(3, 3) def update_control(self): """runs through controllers""" # custom controllers run first if any if self.mode in self.registered_controllers.keys(): custom_output = self.instanced_controllers[self.mode].step( self.state, self.setpoint ) assert custom_output.shape == ( 4, ), f"custom controller outputting wrong shape, expected (4, ) but got {custom_output.shape}." # Final cmd, [Pitch, Roll, Yaw, Throttle] from [-1, 1] self.cmd = self.setpoint @property def view_mat(self): """view_mat.""" # get the state of the camera on the robot camera_state = self.p.getLinkState(self.Id, 0) # UAV orientation orn = camera_state[1] rotation = np.array(self.p.getMatrixFromQuaternion(orn)).reshape(3, 3) cam_offset = [0, -3, 1] cam_offset_world_frame = np.matmul(cam_offset, rotation.transpose()) # pose and rot position = np.array(camera_state[0]) + cam_offset_world_frame # simulate gimballed camera if needed up_vector = None if self.use_gimbal: # camera tilted downward for gimballed mode rot = np.array(self.p.getEulerFromQuaternion(camera_state[1])) rot[0] = 0.0 rot[1] = self.camera_angle_degrees / 180 * math.pi rot = np.array(self.p.getQuaternionFromEuler(rot)) rot = np.array(self.p.getMatrixFromQuaternion(rot)).reshape(3, 3) up_vector = np.matmul(rot, np.array([0.0, 0.0, 1.0])) else: # camera rotated upward for FPV mode rot = np.array(self.p.getEulerFromQuaternion(camera_state[1])) rot[0] += -self.camera_angle_degrees / 180 * math.pi rot = np.array(self.p.getQuaternionFromEuler(rot)) rot = np.array(self.p.getMatrixFromQuaternion(rot)).reshape(3, 3) up_vector = np.matmul(rot, np.array([0, 0, 1])) # target position is 1000 units ahead of camera relative to the current camera pos target = camera_state[0] return self.p.computeViewMatrix( cameraEyePosition=position, cameraTargetPosition=target, cameraUpVector=up_vector, ) def capture_image(self): """capture_image.""" _, _, self.rgbaImg, self.depthImg, self.segImg = self.p.getCameraImage( width=self.camera_resolution[1], height=self.camera_resolution[0], viewMatrix=self.view_mat, projectionMatrix=self.proj_mat, ) self.rgbaImg = np.array(self.rgbaImg).reshape(*self.camera_resolution, -1) self.depthImg = np.array(self.depthImg).reshape(*self.camera_resolution, -1) self.segImg = np.array(self.segImg).reshape(*self.camera_resolution, -1) UAV_pos = self.state[-1] UAV_yaw = np.rad2deg(np.arctan2(-UAV_pos[0], UAV_pos[1])) UAV_pitch = np.rad2deg( np.abs(np.arctan(UAV_pos[2] / np.linalg.norm([UAV_pos[0], UAV_pos[1]]))) ) self.p.resetDebugVisualizerCamera( cameraDistance=5, cameraYaw=UAV_yaw, cameraPitch=UAV_pitch, cameraTargetPosition=[0, 0, 5], ) return np.array(self.rgbaImg).reshape( self.camera_resolution[1], self.camera_resolution[0], -1 ) def reset(self): """reset. """ self.set_mode(1) self.setpoint = np.zeros(4) self.fm_rpm = np.zeros(1) self.qm_rpm = np.zeros(4) self.cmd = np.zeros(4) self.surface_orns = [0] * 5 self.surface_vels = [0] * 5 self.p.resetBasePositionAndOrientation(self.Id, self.start_pos, self.start_orn) self.p.resetBaseVelocity(self.Id, [0, 0, 0], [0, 0, 0]) # [ail_left, ail_right, hori_tail, main_wing, vert_tail] # Maps .urdf idx to surface_ids self.surface_ids = [3, 4, 1, 5, 2] self.update_state() if self.use_camera: self.capture_image() pass def set_mode(self, mode): """ Mode 1 - [Roll, Pitch, Yaw, Throttle] """ # WIP, copied and pasted from quadx if (mode < -1 or mode > 7) and mode not in self.registered_controllers.keys(): raise ValueError( f"`mode` must be between -1 and 7 or be registered in {self.registered_controllers.keys()=}, got {mode}." ) self.mode = mode # for custom modes if mode in self.registered_controllers.keys(): self.instanced_controllers[mode] = self.registered_controllers[mode]() mode = self.registered_base_modes[mode] def update_physics(self): """update_physics. """ self.update_state() self.update_forces() pass def update_avionics(self): """ updates state and control """ self.update_control() if self.use_camera: self.capture_image()
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