IQ.Pilot Release Commit @ cd83f5a
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IQ.Lvbs CI [bot]
222
iqpilot/selfdrive/iqlocd/models/car_kf.py
Executable file → Normal file
222
iqpilot/selfdrive/iqlocd/models/car_kf.py
Executable file → Normal file
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#!/usr/bin/env python3
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"""
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Copyright © IQ.Lvbs, apart of Project Teal Lvbs, All Rights Reserved, licensed under https://konn3kt.com/tos
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"""
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import math
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import sys
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from typing import Any
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import numpy as np
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from iqpilot.common.constants import ACCELERATION_DUE_TO_GRAVITY
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from iqpilot.selfdrive.iqlocd.models.constants import ObservationKind
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from iqpilot.common.swaglog import cloudlog
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from rednose.helpers.kalmanfilter import KalmanFilter
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if __name__ == '__main__': # Generating sympy
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import sympy as sp
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from rednose.helpers.ekf_sym import gen_code
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else:
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from rednose.helpers.ekf_sym_pyx import EKF_sym_pyx
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i = 0
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def _slice(n):
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global i
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s = slice(i, i + n)
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i += n
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return s
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from iqpilot.selfdrive.state_estimation import EstimatorModel, ModelDefinition, StateEstimator
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try:
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from iqpilot.selfdrive.state_estimation.native_binding_pyx import car_predict, car_update
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except ModuleNotFoundError:
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car_predict = None
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car_update = None
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class States:
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# Vehicle model params
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STIFFNESS = _slice(1) # [-]
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STEER_RATIO = _slice(1) # [-]
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ANGLE_OFFSET = _slice(1) # [rad]
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ANGLE_OFFSET_FAST = _slice(1) # [rad]
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VELOCITY = _slice(2) # (x, y) [m/s]
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YAW_RATE = _slice(1) # [rad/s]
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STEER_ANGLE = _slice(1) # [rad]
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ROAD_ROLL = _slice(1) # [rad]
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STIFFNESS = slice(0, 1)
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STEER_RATIO = slice(1, 2)
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ANGLE_OFFSET = slice(2, 3)
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ANGLE_OFFSET_FAST = slice(3, 4)
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VELOCITY = slice(4, 6)
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YAW_RATE = slice(6, 7)
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STEER_ANGLE = slice(7, 8)
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ROAD_ROLL = slice(8, 9)
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class CarKalman(KalmanFilter):
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name = 'car'
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def _transition(state: np.ndarray, dt: float, values: dict[str, float]) -> np.ndarray:
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result = state.copy()
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stiffness = state[0]
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steer_ratio = state[1]
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angle = state[7] - state[2] - state[3]
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speed, lateral_speed = state[4:6]
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yaw_rate = state[6]
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mass = values["mass"]
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inertia = values["rotational_inertia"]
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front = values["center_to_front"]
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rear = values["center_to_rear"]
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front_stiffness = stiffness * values["stiffness_front"]
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rear_stiffness = stiffness * values["stiffness_rear"]
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lateral_dot = -(front_stiffness + rear_stiffness) * lateral_speed / (mass * speed)
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lateral_dot += (-(front_stiffness * front - rear_stiffness * rear) / (mass * speed) - speed) * yaw_rate
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lateral_dot += front_stiffness * angle / (mass * steer_ratio) - ACCELERATION_DUE_TO_GRAVITY * state[8]
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yaw_dot = -(front_stiffness * front - rear_stiffness * rear) * lateral_speed / (inertia * speed)
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yaw_dot -= (front_stiffness * front**2 + rear_stiffness * rear**2) * yaw_rate / (inertia * speed)
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yaw_dot += front_stiffness * front * angle / (inertia * steer_ratio)
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result[5] += dt * lateral_dot
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result[6] += dt * yaw_dot
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return result
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initial_x = np.array([
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1.0,
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15.0,
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0.0,
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0.0,
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10.0, 0.0,
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0.0,
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0.0,
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0.0
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])
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# process noise
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Q = np.diag([
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(.05 / 100)**2,
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.01**2,
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math.radians(0.02)**2,
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math.radians(0.25)**2,
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.1**2, .01**2,
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math.radians(0.1)**2,
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math.radians(0.1)**2,
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math.radians(1)**2,
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])
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class CarKalman(EstimatorModel):
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name = "car"
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initial_x = np.array([1.0, 15.0, 0.0, 0.0, 10.0, 0.0, 0.0, 0.0, 0.0])
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Q = np.diag([(.05 / 100)**2, .01**2, math.radians(0.02)**2, math.radians(0.25)**2,
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.1**2, .01**2, math.radians(0.1)**2, math.radians(0.1)**2, math.radians(1)**2])
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P_initial = Q.copy()
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obs_noise: dict[int, Any] = {
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ObservationKind.STEER_ANGLE: np.atleast_2d(math.radians(0.05)**2),
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ObservationKind.ANGLE_OFFSET_FAST: np.atleast_2d(math.radians(10.0)**2),
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@@ -79,102 +67,28 @@ class CarKalman(KalmanFilter):
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ObservationKind.ROAD_FRAME_X_SPEED: np.atleast_2d(0.1**2),
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}
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global_vars = [
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'mass',
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'rotational_inertia',
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'center_to_front',
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'center_to_rear',
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'stiffness_front',
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'stiffness_rear',
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]
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def __init__(self):
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self.native_parameters = np.zeros(6)
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measurements = {
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ObservationKind.ROAD_FRAME_YAW_RATE: lambda state, _: state[6:7],
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ObservationKind.ROAD_FRAME_XY_SPEED: lambda state, _: state[4:6],
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ObservationKind.ROAD_FRAME_X_SPEED: lambda state, _: state[4:5],
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ObservationKind.STEER_ANGLE: lambda state, _: state[7:8],
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ObservationKind.ANGLE_OFFSET_FAST: lambda state, _: state[3:4],
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ObservationKind.STEER_RATIO: lambda state, _: state[1:2],
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ObservationKind.STIFFNESS: lambda state, _: state[0:1],
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ObservationKind.ROAD_ROLL: lambda state, _: state[8:9],
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}
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def native_predict(state, covariance, dt, process_noise, _):
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car_predict(state, covariance, process_noise, dt, self.native_parameters)
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@staticmethod
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def generate_code(generated_dir):
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dim_state = CarKalman.initial_x.shape[0]
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name = CarKalman.name
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model = ModelDefinition(9, 9, _transition, measurements, self.Q, self.obs_noise,
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native_predict=native_predict if car_predict is not None else None, native_update=car_update)
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super().__init__(StateEstimator(model, self.initial_x, self.P_initial, max_rewind_age=0.8))
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# Linearized single-track lateral dynamics, equations 7.211-7.213
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# Massimo Guiggiani, The Science of Vehicle Dynamics: Handling, Braking, and Ride of Road and Race Cars
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# Springer Cham, 2023. doi: https://doi.org/10.1007/978-3-031-06461-6
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# globals
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global_vars = [sp.Symbol(name) for name in CarKalman.global_vars]
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m, j, aF, aR, cF_orig, cR_orig = global_vars
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# make functions and jacobians with sympy
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# state variables
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state_sym = sp.MatrixSymbol('state', dim_state, 1)
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state = sp.Matrix(state_sym)
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# Vehicle model constants
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sf = state[States.STIFFNESS, :][0, 0]
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cF, cR = sf * cF_orig, sf * cR_orig
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angle_offset = state[States.ANGLE_OFFSET, :][0, 0]
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angle_offset_fast = state[States.ANGLE_OFFSET_FAST, :][0, 0]
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theta = state[States.ROAD_ROLL, :][0, 0]
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sa = state[States.STEER_ANGLE, :][0, 0]
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sR = state[States.STEER_RATIO, :][0, 0]
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u, v = state[States.VELOCITY, :]
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r = state[States.YAW_RATE, :][0, 0]
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A = sp.Matrix(np.zeros((2, 2)))
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A[0, 0] = -(cF + cR) / (m * u)
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A[0, 1] = -(cF * aF - cR * aR) / (m * u) - u
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A[1, 0] = -(cF * aF - cR * aR) / (j * u)
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A[1, 1] = -(cF * aF**2 + cR * aR**2) / (j * u)
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B = sp.Matrix(np.zeros((2, 1)))
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B[0, 0] = cF / m / sR
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B[1, 0] = (cF * aF) / j / sR
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C = sp.Matrix(np.zeros((2, 1)))
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C[0, 0] = ACCELERATION_DUE_TO_GRAVITY
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C[1, 0] = 0
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x = sp.Matrix([v, r]) # lateral velocity, yaw rate
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x_dot = A * x + B * (sa - angle_offset - angle_offset_fast) - C * theta
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dt = sp.Symbol('dt')
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state_dot = sp.Matrix(np.zeros((dim_state, 1)))
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state_dot[States.VELOCITY.start + 1, 0] = x_dot[0]
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state_dot[States.YAW_RATE.start, 0] = x_dot[1]
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# Basic descretization, 1st order integrator
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# Can be pretty bad if dt is big
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f_sym = state + dt * state_dot
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#
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# Observation functions
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#
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obs_eqs = [
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[sp.Matrix([r]), ObservationKind.ROAD_FRAME_YAW_RATE, None],
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[sp.Matrix([u, v]), ObservationKind.ROAD_FRAME_XY_SPEED, None],
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[sp.Matrix([u]), ObservationKind.ROAD_FRAME_X_SPEED, None],
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[sp.Matrix([sa]), ObservationKind.STEER_ANGLE, None],
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[sp.Matrix([angle_offset_fast]), ObservationKind.ANGLE_OFFSET_FAST, None],
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[sp.Matrix([sR]), ObservationKind.STEER_RATIO, None],
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[sp.Matrix([sf]), ObservationKind.STIFFNESS, None],
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[sp.Matrix([theta]), ObservationKind.ROAD_ROLL, None],
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]
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gen_code(generated_dir, name, f_sym, dt, state_sym, obs_eqs, dim_state, dim_state, global_vars=global_vars)
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def __init__(self, generated_dir):
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dim_state, dim_state_err = CarKalman.initial_x.shape[0], CarKalman.P_initial.shape[0]
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self.filter = EKF_sym_pyx(generated_dir, CarKalman.name, CarKalman.Q, CarKalman.initial_x, CarKalman.P_initial,
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dim_state, dim_state_err, global_vars=CarKalman.global_vars, logger=cloudlog)
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def set_globals(self, mass, rotational_inertia, center_to_front, center_to_rear, stiffness_front, stiffness_rear):
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self.filter.set_global("mass", mass)
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self.filter.set_global("rotational_inertia", rotational_inertia)
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self.filter.set_global("center_to_front", center_to_front)
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self.filter.set_global("center_to_rear", center_to_rear)
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self.filter.set_global("stiffness_front", stiffness_front)
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self.filter.set_global("stiffness_rear", stiffness_rear)
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if __name__ == "__main__":
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generated_dir = sys.argv[2]
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CarKalman.generate_code(generated_dir)
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def set_globals(self, mass: float, rotational_inertia: float, center_to_front: float, center_to_rear: float,
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stiffness_front: float, stiffness_rear: float) -> None:
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self.native_parameters[:] = mass, rotational_inertia, center_to_front, center_to_rear, stiffness_front, stiffness_rear
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for name, value in locals().copy().items():
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if name != "self":
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self.filter.set_global(name, value)
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