#!/usr/bin/env python3 import math import sys from typing import Any, Dict import numpy as np from selfdrive.locationd.models.constants import ObservationKind from selfdrive.swaglog import cloudlog from rednose.helpers.kalmanfilter import KalmanFilter if __name__ == '__main__': # Generating sympy import sympy as sp from rednose.helpers.ekf_sym import gen_code else: from rednose.helpers.ekf_sym_pyx import EKF_sym # pylint: disable=no-name-in-module, import-error i = 0 def _slice(n): global i s = slice(i, i + n) i += n return s class States(): # Vehicle model params STIFFNESS = _slice(1) # [-] STEER_RATIO = _slice(1) # [-] ANGLE_OFFSET = _slice(1) # [rad] ANGLE_OFFSET_FAST = _slice(1) # [rad] VELOCITY = _slice(2) # (x, y) [m/s] YAW_RATE = _slice(1) # [rad/s] STEER_ANGLE = _slice(1) # [rad] class CarKalman(KalmanFilter): name = 'car' initial_x = np.array([ 1.0, 15.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, ]) # process noise Q = np.diag([ (.05 / 100)**2, .01**2, math.radians(0.02)**2, math.radians(0.25)**2, .1**2, .01**2, math.radians(0.1)**2, math.radians(0.1)**2, ]) P_initial = Q.copy() obs_noise: Dict[int, Any] = { ObservationKind.STEER_ANGLE: np.atleast_2d(math.radians(0.01)**2), ObservationKind.ANGLE_OFFSET_FAST: np.atleast_2d(math.radians(10.0)**2), ObservationKind.STEER_RATIO: np.atleast_2d(5.0**2), ObservationKind.STIFFNESS: np.atleast_2d(5.0**2), ObservationKind.ROAD_FRAME_X_SPEED: np.atleast_2d(0.1**2), } global_vars = [ 'mass', 'rotational_inertia', 'center_to_front', 'center_to_rear', 'stiffness_front', 'stiffness_rear', ] @staticmethod def generate_code(generated_dir): dim_state = CarKalman.initial_x.shape[0] name = CarKalman.name # globals global_vars = [sp.Symbol(name) for name in CarKalman.global_vars] m, j, aF, aR, cF_orig, cR_orig = global_vars # make functions and jacobians with sympy # state variables state_sym = sp.MatrixSymbol('state', dim_state, 1) state = sp.Matrix(state_sym) # Vehicle model constants x = state[States.STIFFNESS, :][0, 0] cF, cR = x * cF_orig, x * cR_orig angle_offset = state[States.ANGLE_OFFSET, :][0, 0] angle_offset_fast = state[States.ANGLE_OFFSET_FAST, :][0, 0] sa = state[States.STEER_ANGLE, :][0, 0] sR = state[States.STEER_RATIO, :][0, 0] u, v = state[States.VELOCITY, :] r = state[States.YAW_RATE, :][0, 0] A = sp.Matrix(np.zeros((2, 2))) A[0, 0] = -(cF + cR) / (m * u) A[0, 1] = -(cF * aF - cR * aR) / (m * u) - u A[1, 0] = -(cF * aF - cR * aR) / (j * u) A[1, 1] = -(cF * aF**2 + cR * aR**2) / (j * u) B = sp.Matrix(np.zeros((2, 1))) B[0, 0] = cF / m / sR B[1, 0] = (cF * aF) / j / sR x = sp.Matrix([v, r]) # lateral velocity, yaw rate x_dot = A * x + B * (sa - angle_offset - angle_offset_fast) dt = sp.Symbol('dt') state_dot = sp.Matrix(np.zeros((dim_state, 1))) state_dot[States.VELOCITY.start + 1, 0] = x_dot[0] state_dot[States.YAW_RATE.start, 0] = x_dot[1] # Basic descretization, 1st order integrator # Can be pretty bad if dt is big f_sym = state + dt * state_dot # # Observation functions # obs_eqs = [ [sp.Matrix([r]), ObservationKind.ROAD_FRAME_YAW_RATE, None], [sp.Matrix([u, v]), ObservationKind.ROAD_FRAME_XY_SPEED, None], [sp.Matrix([u]), ObservationKind.ROAD_FRAME_X_SPEED, None], [sp.Matrix([sa]), ObservationKind.STEER_ANGLE, None], [sp.Matrix([angle_offset_fast]), ObservationKind.ANGLE_OFFSET_FAST, None], [sp.Matrix([sR]), ObservationKind.STEER_RATIO, None], [sp.Matrix([x]), ObservationKind.STIFFNESS, None], ] gen_code(generated_dir, name, f_sym, dt, state_sym, obs_eqs, dim_state, dim_state, global_vars=global_vars) def __init__(self, generated_dir, steer_ratio=15, stiffness_factor=1, angle_offset=0): # pylint: disable=super-init-not-called dim_state = self.initial_x.shape[0] dim_state_err = self.P_initial.shape[0] x_init = self.initial_x x_init[States.STEER_RATIO] = steer_ratio x_init[States.STIFFNESS] = stiffness_factor x_init[States.ANGLE_OFFSET] = angle_offset # init filter self.filter = EKF_sym(generated_dir, self.name, self.Q, self.initial_x, self.P_initial, dim_state, dim_state_err, global_vars=self.global_vars, logger=cloudlog) if __name__ == "__main__": generated_dir = sys.argv[2] CarKalman.generate_code(generated_dir)