diff --git a/igvc_ws/src/igvc_ekf/launch/igvc_ekf.launch b/igvc_ws/src/igvc_ekf/launch/igvc_ekf.launch index f001b3f..81e65f7 100644 --- a/igvc_ws/src/igvc_ekf/launch/igvc_ekf.launch +++ b/igvc_ws/src/igvc_ekf/launch/igvc_ekf.launch @@ -1,12 +1,4 @@ - - - - - - - - - - + + \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/launch/sim_ekf.launch b/igvc_ws/src/igvc_ekf/launch/sim_ekf.launch new file mode 100644 index 0000000..d0a8e95 --- /dev/null +++ b/igvc_ws/src/igvc_ekf/launch/sim_ekf.launch @@ -0,0 +1,6 @@ + + + + + + \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/ekf.cpp b/igvc_ws/src/igvc_ekf/src/ekf.cpp deleted file mode 100644 index d5c44da..0000000 --- a/igvc_ws/src/igvc_ekf/src/ekf.cpp +++ /dev/null @@ -1,187 +0,0 @@ -#include "igvc_ekf/ekf.h" - - -EKF::EKF() -{ - // Set the covariance matrix to the identity matrix. - // The covariance begins as A only, so we need a 6x6 matrix (6 state vars). - this->P_k.setIdentity(6, 6); - this->P_k *= 1.25; // multiply by some constant to start out - - // Define the process noise. Similarly, it is 6x6. - this->Q_k.setIdentity(6, 6); - this->Q_k *= 1.3; // multiply by some constant - - // Define the measurement noise. - this->R_k.setIdentity(6, 6); - // TODO Set specific values on the diagonal relating to our measurement uncertainties. - this->R_k(0, 0) = 2; - this->R_k(1, 1) = 2; - this->R_k(3, 3) = 2; - this->R_k(4, 4) = 2; - this->R_k(5, 5) = 2; - - // Define the measurement model - this->H_k.setIdentity(6, 6); - - // Initialize the kalman gain. - // It is [# of vars] tall by [# of measurement sources] wide - this->K_k.setZero(6, 6); - - // Define identity matrix - this->I.setIdentity(6, 6); -} - - -void EKF::init(Eigen::VectorXd x0) -{ - // set the initial state - this->x_k = x0; - - // init the timer - this->last_time = ros::Time::now().toNSec() / NSEC_TO_SEC; -} - - -Eigen::VectorXd EKF::run_filter(Eigen::VectorXd z_k, Eigen::VectorXd u_k) -{ - // local vars - double cur_time; - double dt; - - // find time delta - cur_time = ros::Time::now().toNSec() / NSEC_TO_SEC; - dt = cur_time - last_time; - last_time = cur_time; - - // Run prediction - this->predict(u_k, z_k, dt); - - // Update from prediction - this->update(z_k); - - // Return the new state estimate - return this->x_k; -} - - -double EKF::get_convergence() -{ - return this->convergence; -} - - -void EKF::calculate_dynamics(Eigen::VectorXd z_k, double dt) -{ - // My state will be (x, x_dot, y, y_dot, yaw, yaw_dot, v_l, v_r) = x_k - // The measurements are (v_l, v_r, yaw) = z_k - - // Velocity calculations - double v_l = z_k(0); - double v_r = z_k(1); - double velocity = 0.5 * WHEEL_RADIUS * (v_l + v_r); - double x_dot = velocity * cos(z_k(2)); - double y_dot = velocity * sin(z_k(2)); - double yaw_rate = (WHEEL_RADIUS / WHEELBASE_LEN) * (v_l - v_r); - - // Position Calculations (const. velocity model) - double x = x_k(0) + (x_dot * dt); - double y = x_k(2) + (y_dot * dt); - double yaw = x_k(4) - yaw_rate * dt; //local yaw - - // Update the state - x_k(0) = x; - x_k(1) = x_dot; - x_k(2) = y; - x_k(3) = y_dot; - x_k(4) = yaw; - x_k(5) = yaw_rate; - x_k(6) = v_l; - x_k(7) = v_r; -} - -// this function mirrors the jacobean matrix in scripts/jacobean.txt -void EKF::linear_dynamics(Eigen::VectorXd u_k, double dt) -{ - // grab state vars and perform frequent operations beforehand - double l = x_k(6); - double r = x_k(7); - double sin_phi = sin(x_k(4)); - double cos_phi = cos(x_k(4)); - - this->F_k.setZero(8, 6); - // assuming params are (row #, col #) - - // column 1: - F_k(0,0) = 1; - // column 2: - F_k(0,1) = dt; - // column 3: - F_k(2,2) = 1; - // column 4: - F_k(2,3) = dt; - // column 5: - F_k(1,4) = -1 * (0.5 * WHEEL_RADIUS) * (l + r) * sin_phi; - F_k(3,4) = (0.5 * WHEEL_RADIUS) * (l + r) * cos_phi; - F_k(4,4) = 1; - // column 6: - F_k(4,5) = dt; - // column 7: - F_k(1,6) = (0.5 * WHEEL_RADIUS) * cos_phi; - F_k(3,6) = (0.5 * WHEEL_RADIUS) * sin_phi; - F_k(5,6) = WHEEL_RADIUS / WHEELBASE_LEN; - F_k(6,6) = 1; - // column 8: - F_k(1,7) = -1 * (0.5 * WHEEL_RADIUS) * cos_phi; - F_k(3,7) = (0.5 * WHEEL_RADIUS) * sin_phi; - F_k(5,7) = -WHEEL_RADIUS / WHEELBASE_LEN; - F_k(7,7) = 1; -} - -void EKF::predict(Eigen::VectorXd u_k, Eigen::VectorXd z_k, double dt) -{ - // Predict current state from past state and measurements - this->calculate_dynamics(z_k, dt); - - // TODO Linearize the dynamics using a jacobian - this->linear_dynamics(u_k, dt); - - // Update the covariance matrix - this->P_k = (F_k * P_k * F_k.transpose()) + this->Q_k; -} - - -Eigen::VectorXd EKF::get_measurement_model() -{ - // We compare the measurements, z_k, to the current state as a one-to-one mapping - Eigen::VectorXd z_mapping(3); - z_mapping.resize(3); - z_mapping.setZero(3); - //double velocity = this->x_k(2) / cos(this->x_k(4)); //v = x_dot / cos(yaw) - z_mapping(0) = this->x_k(6); //v_l - z_mapping(1) = this->x_k(7); //v_r - z_mapping(2) = this->x_k(4); //yaw - return z_mapping; -} - - -void EKF::update(Eigen::VectorXd z_k) -{ - // Calculate the innovation (the difference between predicted measurements and the actual measurements) - this->y_k = z_k - get_measurement_model(); - - // Find the covariance of the innovation - this->S_k = (this->H_k * this->P_k * this->H_k.transpose()) + this->R_k; - - // Convergence calculation - this->convergence = this->y_k.transpose() * this->S_k.inverse() * this->y_k; - - // Compute Kalman gain - this->K_k = this->P_k * H_k.transpose() * S_k.inverse(); - - // Use the kalman gain to update the state estimate - this->x_k = this->x_k + this->K_k * this->y_k; - - // Likewise, update the covariance for the state estimate - this->P_k = (this->I - this->K_k * this->H_k) * this->P_k; -} diff --git a/igvc_ws/src/igvc_ekf/src/ekf.py b/igvc_ws/src/igvc_ekf/src/ekf.py new file mode 100755 index 0000000..64e8e75 --- /dev/null +++ b/igvc_ws/src/igvc_ekf/src/ekf.py @@ -0,0 +1,262 @@ +#!/usr/bin/env python3 + +from igvc_msgs.msg import gps, velocity, EKFState +from sensor_msgs.msg import Imu +from tf import transformations +from math import sin, cos +import numpy as np +np.set_printoptions(precision=4) + +# for symbolic jacobian calculation +# NOTE you must install sympy for this part to work, +# but it is not necessary except when deriving the initial EKF. +# from sympy import sin, cos, Matrix, Symbol +# from sympy.abc import phi, x, y, t, r, l +# from sympy import pprint + +# robot characteristics +WHEEL_RADIUS = 0.127 +WHEELBASE_LEN = 0.76 +# identity matrices +I_8 = np.matrix([ # 8D identity matrix + [1,0,0,0,0,0,0,0], + [0,1,0,0,0,0,0,0], + [0,0,1,0,0,0,0,0], + [0,0,0,1,0,0,0,0], + [0,0,0,0,1,0,0,0], + [0,0,0,0,0,1,0,0], + [0,0,0,0,0,0,1,0], + [0,0,0,0,0,0,0,1]]) +I_4 = np.matrix([ # 4D identity matrix + [1,0,0,0], + [0,1,0,0], + [0,0,1,0], + [0,0,0,1]]) +# coords of Oakland University: 42.6679° N, 83.2082° W. +# conversions calculated with http://www.csgnetwork.com/degreelenllavcalc.html. +LAT_TO_M = 111086.33 #linear conversion latitude to meters +LON_TO_M = 81972.46 #linear conversion longitude to meters + +class EKF: + def __init__(self, dt:float, Q=None, R=None): + ## Set timestep size + self.dt = dt + + ## Set uncertainties + if Q is not None: + self.Q = Q + else: #default + self.Q = np.multiply(1.5,I_8) + if R is not None: + self.R = R + else: #default from the competition + self.R = np.matrix([ + [100000,0,0,0,0,0], + [0,10000,0,0,0,0], + [0,0,10,0,0,0], + [0,0,0,10,0,0], + [0,0,0,0,0.005,0], + [0,0,0,0,0,0.005]]) + + ## Initialize the state + # we will track 8 things: (x,xdot,y,ydot,phi,phidot,v_l,v_r) + self.X = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) + self.X_next = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) + + ## Initialize the state transition matrix + # will need to update the trig entries each time. for now use a temp value. + cos_phi, sin_phi = 0.1, 0.1 + self.F = np.matrix([ + [1,dt,0,0,0,0,0,0], + [0,0,0,0,0,0,0.5*WHEEL_RADIUS*cos_phi,0.5*WHEEL_RADIUS*cos_phi], + [0,0,1,dt,0,0,0,0], + [0,0,0,0,0,0,0.5*WHEEL_RADIUS*sin_phi,0.5*WHEEL_RADIUS*sin_phi], + [0,0,0,0,1,dt,0,0], + [0,0,0,0,0,0,WHEEL_RADIUS/WHEELBASE_LEN,-WHEEL_RADIUS/WHEELBASE_LEN], + [0,0,0,0,0,0,1,0], + [0,0,0,0,0,0,0,1]]) + self.F_trans = np.transpose(self.F) + + ## Initialize the measurements matrix + # tracks 6 things: (x,y,yaw,yaw_rate,v_l,v_r), where x/y are already converted from GPS + self.Z = np.transpose(np.matrix([0,0,0,0,0,0])) + # buffer to hold measurements as they come in (outside the measure stage) + self.Z_buffer = [0,0,0,0,0,0] + + ## Initialize the observation matrix + self.H = np.matrix([ + [1,0,0,0,0,0,0,0], + [0,1,0,0,0,0,0,0], + [0,0,0,0,1,0,0,0], + [0,0,0,0,0,1,0,0], + [0,0,0,0,0,0,1,0], + [0,0,0,0,0,0,0,1]]) + self.H_trans = np.transpose(self.H) + + ## Initialize the covariance matrix with temporary values for the useful entries + self.P = np.multiply(0.1,I_8) + self.P_next = self.P + print("initialized KF") + + ## Create necessary global variables + self.start_gps = None + + def predict(self): + ## Update the state transition matrix, F and F_trans + cos_phi = cos(self.X[4]) + sin_phi = sin(self.X[4]) + self.F[1,6] = 0.5*WHEEL_RADIUS*cos_phi + self.F[1,7] = 0.5*WHEEL_RADIUS*cos_phi + self.F[3,6] = 0.5*WHEEL_RADIUS*sin_phi + self.F[3,7] = 0.5*WHEEL_RADIUS*sin_phi + # update transpose entries too + self.F_trans[6,1] = 0.5*WHEEL_RADIUS*cos_phi + self.F_trans[7,1] = 0.5*WHEEL_RADIUS*cos_phi + self.F_trans[6,3] = 0.5*WHEEL_RADIUS*sin_phi + self.F_trans[7,3] = 0.5*WHEEL_RADIUS*sin_phi + + ## Calculate predicted state for next iteration using dynamic model + # state extrapolation: X(n+1) = F*X(n) + w (ignore process noise w) + self.X_next = np.matmul(self.F,self.X) + + ## Extrapolate the estimate uncertainty + # covariance extrapolation: P(n+1) = F*P(n)*F^T + Q + self.P_next = np.matmul(np.matmul(self.F,self.P),self.F_trans) + self.Q + + def measure(self): + ## Input measurement uncertainty + # could update R, but we assume it's constant + + ## Load measured values from the buffer + self.Z = np.transpose(np.matrix([self.Z_buffer[0],self.Z_buffer[1],self.Z_buffer[2],self.Z_buffer[3],self.Z_buffer[4],self.Z_buffer[5]])) + + def update(self): + # NOTE We're interested to see if it would be better to update + # P directly in predict() rather than holding the P_next buffer. + # Uncomment this line to check an equivalent of this setup. + self.P = self.P_next + + ## Calculate kalman gain + # compute innovation covariance: S = H*P*H^T + R + S = np.matmul(np.matmul(self.H,self.P),self.H_trans) + self.R #6x6 = 6x8 * 8x8 * 8x6 + 6x6 + # optimal kalman gain: K = P*H^T*S^-1 + S_inv = np.linalg.pinv(S) #6x6 + # NOTE not sure why but it blows up unless we multiply by H^T at the end of this + #self.K = np.matmul(np.matmul(self.P,self.H_trans),S_inv) #8x6 = 8x8 * 8x6 * 6x6 + self.K = np.multiply(np.matmul(np.matmul(self.P,self.H_trans),S_inv), self.H_trans) + print(self.K) + + ## Estimate the current state using the state update equation + # state update: X(n+1) = X(n) + K*(Z-H*X(n)) + self.X = self.X_next + np.matmul(self.K,(self.Z-np.matmul(self.H,self.X_next))) #8x1 = 8x1 + 8x6 * (6x1 - 6x8 * 8x1) + + ## Update the current estimate uncertainty + # covariance update: P = (I-K*H)*P*(I-K*H)^T + K*R*K^T + self.P = np.matmul(np.matmul((I_8-np.matmul(self.K,self.H)),self.P_next),np.transpose(I_8-np.matmul(self.K,self.H))) + np.matmul(np.matmul(self.K,self.R),np.transpose(self.K)) + # or P = (I-K*H)*P (simple version, unstable with confounding errors) + #self.P = np.matmul((I_8-np.matmul(self.K,self.H)),self.P_next) #8x8 = (8x8 - 8x6 * 6x8) * 8x8 + + def set_start_gps(self, gps_msg): + if self.start_gps is None: + self.start_gps = gps_msg + else: + # average the start position over time (before we start moving) to make it more accurate. + l_rate = 0.1 # learning rate = weight given to new measurements + self.start_gps.latitude = (1 - l_rate) * self.start_gps.latitude + l_rate * gps_msg.latitude + self.start_gps.longitude = (1 - l_rate) * self.start_gps.longitude + l_rate * gps_msg.longitude + + def measure_gps(self, gps_msg): + # we're treating this input as a direct measure of x and y. + if gps_msg.hasSignal: + self.Z_buffer[0] = (gps_msg.latitude - self.start_gps.latitude) * LAT_TO_M + self.Z_buffer[1] = (gps_msg.longitude - self.start_gps.longitude) * LON_TO_M + + def measure_imu(self, imu_msg): + # save robot's current heading in radians (0 north, CW). + orientation = imu_msg.orientation + quaternion = ( + orientation.x, + orientation.y, + orientation.z, + orientation.w) + # do bad stuff to make the simulator work + # quaternion = [-quaternion[3], quaternion[1], -quaternion[2], quaternion[0]] + # shit_ass = [f"{x * 180 / 3.1415:4.01f}" for x in transformations.euler_from_quaternion(quaternion)] + # print(shit_ass) + yaw_rads = transformations.euler_from_quaternion(quaternion)[2] + self.Z_buffer[2] = yaw_rads + yaw_rate = imu_msg.angular_velocity.z + self.Z_buffer[3] = yaw_rate + + def measure_velocities(self, vel_msg): + # read the linear velocities from each wheel's encoder, + # and convert to angular velocities for our measurement. + self.Z_buffer[4] = vel_msg.leftVel #/ WHEEL_RADIUS + self.Z_buffer[5] = vel_msg.rightVel #/ WHEEL_RADIUS + + def calc_equiv_gps(self,x:float,y:float): + # calculate the equivalent GPS coords for our EKF position + lat = x / LAT_TO_M + self.start_gps.latitude + lon = y / LON_TO_M + self.start_gps.longitude + return (lon,lat) + + def get_state_msg(self, mobi_start:bool): + # create the state message that will be published. + state_msg = EKFState() + if mobi_start: + cur_gps = self.calc_equiv_gps(self.X[0], self.X[2]) + state_msg.latitude = cur_gps[0] + state_msg.longitude = cur_gps[1] + state_msg.x = self.X[0] + state_msg.x_velocity = self.X[1] + state_msg.y = self.X[2] + state_msg.y_velocity = self.X[3] + state_msg.yaw = self.X[4] + state_msg.yaw_rate = self.X[5] + state_msg.left_velocity = self.X[6] * WHEEL_RADIUS + state_msg.right_velocity = self.X[7] * WHEEL_RADIUS + return state_msg + +# function to generate the jacobian for our setup and print it. +def easy_print_jacobian(): + x_dot = Symbol("\dot{x}") + y_dot = Symbol("\dot{y}") + phi_dot = Symbol("\dot{phi}") + wheel_rad = Symbol("R") + wheelbase_len = Symbol("L") + + # State variables + state_vars = ["x","x_dot","y","y_dot","phi","phi_dot","l","r"] #l=v_l, r=v_r + + # Differential drive approximation + # Velocity calculations + v_k = 0.5 * wheel_rad * (l + r) + x_dot_k = v_k * cos(phi) + y_dot_k = v_k * sin(phi) + phi_dot_k = (wheel_rad / wheelbase_len) * (l - r) + # Position calculations + x_k = x + x_dot * t + y_k = y + y_dot * t + phi_k = phi + phi_dot * t + + # Setup vector of the functions + f = Matrix([ + x_k, + x_dot_k, + y_k, + y_dot_k, + phi_k, + phi_dot_k, + l, + r + ]) + + # Setup vector of the variables + X = Matrix([x,x_dot,y,y_dot,phi,phi_dot,l,r]) + + # IGVC Fk matrix + model = f + jac_model = f.jacobian(X) + + # Print the Jacobian to the console + pprint(jac_model) diff --git a/igvc_ws/src/igvc_ekf/src/ekf_dead_reckoning.py b/igvc_ws/src/igvc_ekf/src/ekf_dead_reckoning.py deleted file mode 100755 index 20c6b2c..0000000 --- a/igvc_ws/src/igvc_ekf/src/ekf_dead_reckoning.py +++ /dev/null @@ -1,259 +0,0 @@ -#!/usr/bin/env python3 - -import rospy -from igvc_msgs.msg import gps, velocity, motors, EKFState, imuodom -from sensor_msgs.msg import Imu -from tf import transformations -from math import sin, cos -import numpy as np - -np.set_printoptions(precision=4) - -## Robot Characteristics -WHEEL_RADIUS = 0.127 -WHEELBASE_LEN = 0.76 # TODO verify this - -## Constants -I_8 = np.matrix([ # 8D identity matrix - [1,0,0,0,0,0,0,0], - [0,1,0,0,0,0,0,0], - [0,0,1,0,0,0,0,0], - [0,0,0,1,0,0,0,0], - [0,0,0,0,1,0,0,0], - [0,0,0,0,0,1,0,0], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) -I_4 = np.matrix([ # 4D identity matrix - [1,0,0,0], - [0,1,0,0], - [0,0,1,0], - [0,0,0,1]]) -# lat_to_m = 110944.33 -# lon_to_m = 91058.93 - -## Kalman Filter variables -dt = 0.1 # period in seconds -X = None # current state -X_next = None # prediction for next -F = None # state transition matrix (dynamic model) -F_trans = None -P = None # current covariance -P_next = None # prediction for next -Z = None # measurements -Z_buffer = [0,0,0,0] # holds measurements as they come in (outside the measure stage) -H = None # observation matrix (dynamic model) -H_trans = None -Q = None # process noise -R = None # meas uncertainty - -# init flag -initialized = False - -## Publishers -state_pub = None - -## Kalman Filter functions -def initialize(): - global initialized, Q, R, X, X_next, F, F_trans, Z, H, H_trans, P, P_next - ## Set uncertainties - Q = np.multiply(1.1,I_8) - #R = np.multiply(0.1,I_4) - R = np.matrix([ - [0.0017,0,0,0], - [0,0.001,0,0], - [0,0,0.005,0], - [0,0,0,0.005]]) - - ## Initialize the state - # we will track 8 things: (x,xdot,y,ydot,phi,phidot,v_l,v_r) - X = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) - X_next = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) - - ## Initialize the state transition matrix - # will need to update the trig entries each time. for now use a temp value. - cos_phi, sin_phi = 0.1, 0.1 - F = np.matrix([ - [1,dt,0,0,0,0,0,0], - [0,0,0,0,0,0,0.5*WHEEL_RADIUS*cos_phi,0.5*WHEEL_RADIUS*cos_phi], - [0,0,1,dt,0,0,0,0], - [0,0,0,0,0,0,0.5*WHEEL_RADIUS*sin_phi,0.5*WHEEL_RADIUS*sin_phi], - [0,0,0,0,1,dt,0,0], - [0,0,0,0,0,0,WHEEL_RADIUS/WHEELBASE_LEN,-WHEEL_RADIUS/WHEELBASE_LEN], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) - F_trans = np.transpose(F) - - ## Initialize the measurements matrix - # tracks 4 things: (yaw,yaw_rate,v_l,v_r) - # we can add GPS optionally later - Z = np.transpose(np.matrix([0,0,0,0])) - - ## Initialize the observation matrix - H = np.matrix([ - [0,0,0,0,1,0,0,0], - [0,0,0,0,0,1,0,0], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) - H_trans = np.transpose(H) - - ## Initialize the covariance matrix with temporary values for the useful entries - P = np.multiply(0.1,I_8) - # P = np.matrix([ - # [1,dt,0,0,0,0,0,0], - # [0,0,0,0,-0.1,0,0.1,0.1], - # [0,0,1,dt,0,0,0,0], - # [0,0,0,0,0.1,0,0.1,0.1], - # [0,0,0,0,1,dt,0,0], - # [0,0,0,0,0,0,WHEEL_RADIUS/WHEELBASE_LEN,WHEEL_RADIUS/WHEELBASE_LEN], - # [0,0,0,0,0,0,1,0], - # [0,0,0,0,0,0,0,1]]) - P_next = P - - ## set initialized flag - initialized = True - print("initialized KF") - -def predict(): - global X_next, P_next, F, F_trans - ## Update the state transition matrix, F and F_trans - cos_phi = cos(X[4]) - sin_phi = sin(X[4]) - F[1,6] = 0.5*WHEEL_RADIUS*cos_phi - F[1,7] = 0.5*WHEEL_RADIUS*cos_phi - F[3,6] = 0.5*WHEEL_RADIUS*sin_phi - F[3,7] = 0.5*WHEEL_RADIUS*sin_phi - # update transpose entries too - F_trans[6,1] = 0.5*WHEEL_RADIUS*cos_phi - F_trans[7,1] = 0.5*WHEEL_RADIUS*cos_phi - F_trans[6,3] = 0.5*WHEEL_RADIUS*sin_phi - F_trans[7,3] = 0.5*WHEEL_RADIUS*sin_phi - - ## Calculate predicted state for next iteration using dynamic model - # state extrapolation: X(n+1) = F*X(n) + w (ignore process noise) - X_next = np.matmul(F,X) - #print("Prediction:\n", X_next) - - ## Extrapolate the estimate uncertainty - # covariance extrapolation: P(n+1) = F*P(n)*F^T + Q - P_next = np.matmul(np.matmul(F,P),F_trans) + Q - -def measure(): - global Z - ## Input measurement uncertainty - # would update R, but we assume it's constant - - ## Load measured values from the buffer - Z = np.transpose(np.matrix([Z_buffer[0],Z_buffer[1],Z_buffer[2],Z_buffer[3]])) - #print("Measurement:\n", Z) - -def update(): - global K, X, P - ## Calculate kalman gain - # compute innovation covariance: S = H*P*H^T + R - S = np.matmul(np.matmul(H,P),H_trans) + R #4x4 = 4x8 * 8x8 * 8x4 + 4x4 - #print("S:\n", S) - # optimal kalman gain: K = P*H^T*S^-1 - S_inv = np.linalg.pinv(S) #4x4 - K = np.multiply(np.matmul(np.matmul(P,H_trans),S_inv), H_trans) #8x4 = 8x8 * 8x4 * 4x4 - #print("Kalman Gain:\n", K) - - ## Estimate the current state using the state update equation - # state update: X(n+1) = X(n) + K*(Z-H*X(n)) - X = X_next + np.matmul(K,(Z-np.matmul(H,X_next))) #8x1 = 8x1 + 8x4 * (4x1 - 4x8 * 8x1) - #print("State:\n", X) - - ## Update the current estimate uncertainty - # covariance update: P = (I-K*H)*P*(I-K*H)^T + K*R*K^T - # or P = (I-K*H)*P (simple version) - P = np.matmul((I_8-np.matmul(K,H)),P_next) #8x8 = (8x8 - 8x4 * 4x8) * 8x8 - #P = np.matmul(np.matmul((I_8-np.matmul(K,H)),P_next),np.transpose(I_8-np.matmul(K,H))) + np.matmul(np.matmul(K,R),np.transpose(K)) - #print("Covariance:\n", P) - -## Run the KF -def timer_callback(event): - if not initialized: - initialize() - else: - predict() - measure() - update() - ## Publish the state for the robot to use. - state_msg = EKFState() - state_msg.x = X[0] - state_msg.x_velocity = X[1] - state_msg.y = X[2] - state_msg.y_velocity = X[3] - state_msg.yaw = X[4] - state_msg.yaw_rate = X[5] - state_msg.left_velocity = X[6] - state_msg.right_velocity = X[7] - state_pub.publish(state_msg) - -# ## print state vector to the console in a readable format -# def print_state(name, vector): -# state = mat_to_ls(vector) -# #print(state) -# line = name + ": x=" + "{:.2f}".format(state[0]) + ", y=" + "{:.2f}".format(state[1]) \ -# + ", x-vel=" + "{:.2f}".format(state[2]) + ", y-vel=" + "{:.2f}".format(state[3]) -# print(line) - -## Functions to receive sensor readings. -## Stay in buffer until measure() is run each clock cycle. -def meas_imu(imu_msg): - global Z_buffer - # saves robot's current heading in radians (0 north, CW) - orientation = imu_msg.orientation - quaternion = ( - orientation.x, - orientation.y, - orientation.z, - orientation.w) - # do bad stuff to make the simulator work - bad_quat = [-quaternion[3], quaternion[1], -quaternion[2], quaternion[0]] - #print(transformations.euler_from_quaternion(bad_quat)) - yaw_rads = transformations.euler_from_quaternion(bad_quat)[2] #TODO check sign #yaw should be 2 but hmmm - Z_buffer[0] = yaw_rads - yaw_rate = -imu_msg.angular_velocity.z #TODO check sign - Z_buffer[1] = yaw_rate - -def meas_vel(vel_msg): - global Z_buffer - Z_buffer[2] = vel_msg.leftVel - Z_buffer[3] = vel_msg.rightVel - -# def meas_gps(gps_msg): -# global Z_buffer -# if gps_msg.hasSignal: -# Z_buffer[4] = gps_msg.latitude -# Z_buffer[5] = gps_msg.longitude -# else: -# Z_buffer[4] = None -# Z_buffer[5] = None - -def main(): - global state_pub - # initalize the node in ROS - rospy.init_node('ekf_dead_reckoning') - - ## Subscribe to Sensor Values - rospy.Subscriber("/igvc/imu", Imu, meas_imu, queue_size=1) - rospy.Subscriber("/igvc/velocity", velocity, meas_vel, queue_size=1) - #rospy.Subscriber("/igvc/gps", Gps, meas_gps, queue_size=1) - ## Subscribe to Control Parameters - #rospy.Subscriber("/igvc/motors_raw", motors, update_control_signal, queue_size=1) - - ## Publish the KF state - state_pub = rospy.Publisher("/igvc/state", EKFState, queue_size=1) - - # create timer with a period of 0.1 (10 Hz) - rospy.Timer(rospy.Duration(dt), timer_callback) - - # pump callbacks - rospy.spin() - - -if __name__ == '__main__': - try: - main() - except rospy.ROSInterruptException: - pass diff --git a/igvc_ws/src/igvc_ekf/src/ekf_node.py b/igvc_ws/src/igvc_ekf/src/ekf_node.py new file mode 100755 index 0000000..46cd0ac --- /dev/null +++ b/igvc_ws/src/igvc_ekf/src/ekf_node.py @@ -0,0 +1,97 @@ +#!/usr/bin/env python3 + +import rospy +from ekf import EKF +from igvc_msgs.msg import gps, velocity, EKFState +from sensor_msgs.msg import Imu +from std_msgs.msg import Bool +import numpy as np + +np.set_printoptions(precision=4) + +# period +dt = None +# mobility start/stop flag +mobi_start = False +# publisher +state_pub = None +# the ekf object +ekf = None + +# NOTE simulate a mobi_start artificially for testing after receiving 5 messages. +TEMP_counter = 0 + +# run the EKF. +def timer_callback(event): + global ekf + ekf.predict() + ekf.measure() + ekf.update() + state_pub.publish(ekf.get_state_msg(mobi_start)) + +# functions to receive sensor readings. +def meas_gps(gps_msg): + global ekf, TEMP_counter + if not mobi_start or TEMP_counter < 5: + TEMP_counter += 1 + ekf.set_start_gps(gps_msg) + else: + ekf.measure_gps(gps_msg) +def meas_imu(imu_msg): + global ekf + ekf.measure_imu(imu_msg) +def meas_vel(vel_msg): + global ekf + ekf.measure_velocities(vel_msg) +def init_mobi_start(mobi_msg): + global mobi_start + # NOTE one-way state transition + mobi_start = True + +def main(): + global state_pub, ekf, dt + # initalize the node in ROS + rospy.init_node('ekf_node') + + # initialize the EKF + dt = 0.02 + # 8D process noise matrix + Q = np.matrix([ + [1.5,0,0,0,0,0,0,0], + [0,1.5,0,0,0,0,0,0], + [0,0,1.5,0,0,0,0,0], + [0,0,0,1.5,0,0,0,0], + [0,0,0,0,1.5,0,0,0], + [0,0,0,0,0,1.5,0,0], + [0,0,0,0,0,0,1.5,0], + [0,0,0,0,0,0,0,1.5]]) + # 6D measurement uncertainty matrix + R = np.matrix([ + [100000,0,0,0,0,0], + [0,10000,0,0,0,0], + [0,0,10,0,0,0], + [0,0,0,10,0,0], + [0,0,0,0,0.005,0], + [0,0,0,0,0,0.005]]) + ekf = EKF(dt = dt, Q=Q, R=R) + + ## Subscribe to Mobility Start/Stop messages + rospy.Subscriber("/igvc/mobstart", Bool, init_mobi_start, queue_size=1) + ## Subscribe to Sensor Values + rospy.Subscriber("/igvc/gps", gps, meas_gps, queue_size=1) + # NOTE for competition, topic was "/imu/" + rospy.Subscriber("/igvc/imu", Imu, meas_imu, queue_size=1) + rospy.Subscriber("/igvc/velocity", velocity, meas_vel, queue_size=1) + ## Publish the KF state + state_pub = rospy.Publisher("/igvc/state", EKFState, queue_size=1) + + # create timer with a period of dt seconds (1/dt Hz) + rospy.Timer(rospy.Duration(dt), timer_callback) + # pump callbacks + rospy.spin() + +if __name__ == '__main__': + try: + main() + except rospy.ROSInterruptException: + pass diff --git a/igvc_ws/src/igvc_ekf/src/ekf_plotter.py b/igvc_ws/src/igvc_ekf/src/ekf_plotter.py deleted file mode 100755 index fae132b..0000000 --- a/igvc_ws/src/igvc_ekf/src/ekf_plotter.py +++ /dev/null @@ -1,98 +0,0 @@ -#!/usr/bin/env python3 -import numpy as np -from math import degrees -from matplotlib import pyplot as plt - -import rospy -from igvc_msgs.msg import EKFState, EKFConvergence -from geometry_msgs.msg import Pose -from roslib.packages import get_pkg_dir - -pkg_path = get_pkg_dir("igvc_ekf") - -true_pose_csv_data = "" -ekf_pose_csv_data = "" - -def plot_x(msg): - global counter - if counter % 10 == 0: - # plt.figure(1) - stamp = msg.header.stamp - time = stamp.secs + stamp.nsecs * 1e-9 - # plt.plot(msg.x, msg.y, '*') - # plt.axis("equal") - # plt.draw() - # plt.pause(0.00000000001) - - csv_file = open(pkg_path + "/data/export.csv", "a") - state_str = "" - state_str += str(counter/10) + "," - state_str += str(degrees(msg.latitude)) + "," - state_str += str(degrees(msg.longitude)) + "," - state_str += str(msg.global_heading) + "," - state_str += str(msg.x) + "," - state_str += str(msg.y) + "," - state_str += str(msg.yaw) + "," - #state_str += str(msg.velocity) + "," - #state_str += str(msg.yaw_rate) + "," - #state_str += str(msg.left_angular_vel) + "," - #state_str += str(msg.right_angular_vel) + "," - #state_str += str(msg.acceleration) + "," - - csv_file.write(state_str + "\n") - csv_file.close() - - counter += 1 - -def plot_conv(msg): - global counter - if counter % 10 == 0: - # stamp = msg.header.stamp - # plt.figure(2) - # time = stamp.secs + stamp.nsecs * 1e-9 - # plt.plot(time, msg.data, '*') - # plt.axis("equal") - # plt.draw() - # plt.pause(0.00000000001) - - conv_file = open(pkg_path + "/data/convergence.csv", "a") - state_str = str(msg.data) + "\n" - conv_file.write(state_str) - conv_file.close() - -def plot_ground_truth(pose): - global true_counter - if true_counter % 10 == 0: - pose_file = open(pkg_path + "/data/ground_truth.csv", "a") - state_str = str(pose.position.x) + ", " + str(pose.position.y) + "\n" - pose_file.write(state_str) - pose_file.close() - - true_counter += 1 - -if __name__ == '__main__': - counter = 0 - true_counter = 0 - - rospy.init_node("plotter") - - rospy.Subscriber("/igvc_ekf/filter_output", EKFState, plot_x) - rospy.Subscriber("/sim/true_pose", Pose, plot_ground_truth) - rospy.Subscriber("/igvc_ekf/EKFConvergence", EKFConvergence, plot_conv) - - # EKF logging - csv_file = open(pkg_path + "/data/export.csv", "w") - #csv_file.write("id, lat, lon, theta, x, y, psi, vel, psi_dot, left_v, right_v, accel\n") - csv_file.close() - - # EKF convergence - csv_file = open(pkg_path + "/data/convergence.csv", "w") - csv_file.close() - - # Ground truth pose - csv_file = open(pkg_path + "/data/ground_truth.csv", "w") - csv_file.close() - - # plt.ion() - # plt.show() - rospy.spin() \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/ekf_sensor_spoof.py b/igvc_ws/src/igvc_ekf/src/ekf_sensor_spoof.py deleted file mode 100755 index 1f443cb..0000000 --- a/igvc_ws/src/igvc_ekf/src/ekf_sensor_spoof.py +++ /dev/null @@ -1,69 +0,0 @@ -#!/usr/bin/env python - -from numpy import genfromtxt, savetxt, vectorize -from math import degrees -from os.path import expanduser - -import rospy -from std_msgs.msg import Float64 -from geometry_msgs.msg import Vector3 - - - -if __name__ == "__main__": - # Get home directory - home = expanduser("~") - - # Load data - gps_data = genfromtxt(home + "/gps_log.csv", delimiter=',') - vel_data = genfromtxt(home + "/vel_log.csv", delimiter=',') - accel_data = genfromtxt(home + "/accel_log.csv", delimiter=',') - hdg_data = genfromtxt(home + "/hdg_log.csv", delimiter=',') - - # Set the iterator - i = 0 - - # Initialize the node - rospy.init_node("sensor_spoof_node") - - # Set up publishers - gps_pub = rospy.Publisher("/igvc/gps", Vector3, queue_size=10) - vel_pub = rospy.Publisher("/igvc/velocity", Float64, queue_size=10) - accel_pub = rospy.Publisher("/igvc/acceleration", Float64, queue_size=10) - hdg_pub = rospy.Publisher("/igvc/heading", Float64, queue_size=10) - - # Define the loop rate - loop_rate = rospy.Rate(60) - - # Wait for the EKF to connect - while gps_pub.get_num_connections() == 0: - pass - - # Run a loop to publish data to the EKF - while rospy.is_shutdown() == False: - # GPS - if i < gps_data.shape[0]: - gps_msg = Vector3(gps_data[i, 0], gps_data[i, 1], 0) - gps_pub.publish(gps_msg) - - # Velocity - if i < vel_data.shape[0]: - vel_msg = Float64(vel_data[i]) - vel_pub.publish(vel_msg) - - # Acceleration - if i < accel_data.shape[0]: - accel_msg = Float64(accel_data[i]) - accel_pub.publish(accel_msg) - - # Heading - if i < hdg_data.shape[0]: - hdg_msg = Float64(hdg_data[i, 0]) - hdg_pub.publish(hdg_msg) - - # Increment - i = i + 1 - - # Limit the loop to a certain rate - loop_rate.sleep() - diff --git a/igvc_ws/src/igvc_ekf/src/ekf_with_gps.py b/igvc_ws/src/igvc_ekf/src/ekf_with_gps.py deleted file mode 100755 index aab2b37..0000000 --- a/igvc_ws/src/igvc_ekf/src/ekf_with_gps.py +++ /dev/null @@ -1,296 +0,0 @@ -#!/usr/bin/env python3 - -import rospy -from igvc_msgs.msg import gps, velocity, motors, EKFState, imuodom -from sensor_msgs.msg import Imu -from std_msgs.msg import Bool -from tf import transformations -from math import sin, cos -import numpy as np - -import time - -np.set_printoptions(precision=4) - -## Robot Characteristics -WHEEL_RADIUS = 0.127 -WHEELBASE_LEN = 0.76 # TODO verify this - -## Constants -I_8 = np.matrix([ # 8D identity matrix - [1,0,0,0,0,0,0,0], - [0,1,0,0,0,0,0,0], - [0,0,1,0,0,0,0,0], - [0,0,0,1,0,0,0,0], - [0,0,0,0,1,0,0,0], - [0,0,0,0,0,1,0,0], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) -I_4 = np.matrix([ # 4D identity matrix - [1,0,0,0], - [0,1,0,0], - [0,0,1,0], - [0,0,0,1]]) -# Coords of Oakland University: 42.6679° N, 83.2082° W -lat_to_m = 111086.33 #linear conversion latitude to meters -lon_to_m = 81972.46 #linear conversion longitude to meters - -## Kalman Filter variables -dt = 0.02 # period in seconds -X = None # current state -X_next = None # prediction for next -F = None # state transition matrix (dynamic model) -F_trans = None -P = None # current covariance -P_next = None # prediction for next -Z = None # measurements -Z_buffer = [0,0,0,0,0,0] # holds measurements as they come in (outside the measure stage) -H = None # observation matrix (dynamic model) -H_trans = None -Q = None # process noise -R = None # meas uncertainty - -initialized = False # init flag -mobi_start = False # mobility start/stop flag -start_gps = None # starting GPS coords -cur_gps = None # equiv GPS coords for our EKF position - -## Publishers -state_pub = None - -## Kalman Filter functions -def initialize(): - global initialized, Q, R, X, X_next, F, F_trans, Z, H, H_trans, P, P_next - ## Set uncertainties - Q = np.multiply(1.5,I_8) - #R = np.multiply(0.1,I_4) - R = np.matrix([ - [1000000000,0,0,0,0,0], - [0,1000000000,0,0,0,0], - [0,0,10,0,0,0], - [0,0,0,10,0,0], - [0,0,0,0,0.005,0], - [0,0,0,0,0,0.005]]) - - ## Initialize the state - # we will track 10 things: (x,xdot,y,ydot,phi,phidot,v_l,v_r,lat,lon) - X = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) - X_next = np.transpose(np.matrix([0,0,0,0,0,0,0,0])) - - ## Initialize the state transition matrix - # will need to update the trig entries each time. for now use a temp value. - cos_phi, sin_phi = 0.1, 0.1 - F = np.matrix([ - [1,dt,0,0,0,0,0,0], - [0,0,0,0,0,0,0.5*WHEEL_RADIUS*cos_phi,0.5*WHEEL_RADIUS*cos_phi], - [0,0,1,dt,0,0,0,0], - [0,0,0,0,0,0,0.5*WHEEL_RADIUS*sin_phi,0.5*WHEEL_RADIUS*sin_phi], - [0,0,0,0,1,dt,0,0], - [0,0,0,0,0,0,WHEEL_RADIUS/WHEELBASE_LEN,-WHEEL_RADIUS/WHEELBASE_LEN], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) - F_trans = np.transpose(F) - - ## Initialize the measurements matrix - # tracks 6 things: (x,y,yaw,yaw_rate,v_l,v_r), where x/y are already converted from GPS - Z = np.transpose(np.matrix([0,0,0,0,0,0])) - - ## Initialize the observation matrix - H = np.matrix([ - [1,0,0,0,0,0,0,0], - [0,1,0,0,0,0,0,0], - [0,0,0,0,1,0,0,0], - [0,0,0,0,0,1,0,0], - [0,0,0,0,0,0,1,0], - [0,0,0,0,0,0,0,1]]) - H_trans = np.transpose(H) - - ## Initialize the covariance matrix with temporary values for the useful entries - P = np.multiply(0.1,I_8) - P_next = P - - ## set initialized flag - initialized = True - print("initialized KF") - -def predict(): - global X_next, P_next, F, F_trans - ## Update the state transition matrix, F and F_trans - cos_phi = cos(X[4]) - sin_phi = sin(X[4]) - F[1,6] = 0.5*WHEEL_RADIUS*cos_phi - F[1,7] = 0.5*WHEEL_RADIUS*cos_phi - F[3,6] = 0.5*WHEEL_RADIUS*sin_phi - F[3,7] = 0.5*WHEEL_RADIUS*sin_phi - # update transpose entries too - F_trans[6,1] = 0.5*WHEEL_RADIUS*cos_phi - F_trans[7,1] = 0.5*WHEEL_RADIUS*cos_phi - F_trans[6,3] = 0.5*WHEEL_RADIUS*sin_phi - F_trans[7,3] = 0.5*WHEEL_RADIUS*sin_phi - - ## Calculate predicted state for next iteration using dynamic model - # state extrapolation: X(n+1) = F*X(n) + w (ignore process noise) - X_next = np.matmul(F,X) - #print("Prediction:\n", X_next) - - ## Extrapolate the estimate uncertainty - # covariance extrapolation: P(n+1) = F*P(n)*F^T + Q - P_next = np.matmul(np.matmul(F,P),F_trans) + Q - -def measure(): - global Z - ## Input measurement uncertainty - # would update R, but we assume it's constant - - ## Load measured values from the buffer - Z = np.transpose(np.matrix([Z_buffer[0],Z_buffer[1],Z_buffer[2],Z_buffer[3],Z_buffer[4],Z_buffer[5]])) - #print("Measurement:\n", Z) - -def update(): - global K, X, P - ## Calculate kalman gain - # compute innovation covariance: S = H*P*H^T + R - S = np.matmul(np.matmul(H,P),H_trans) + R #6x6 = 6x8 * 8x8 * 8x6 + 6x6 - #print("S:\n", S) - # optimal kalman gain: K = P*H^T*S^-1 - S_inv = np.linalg.pinv(S) #6x6 - K = np.multiply(np.matmul(np.matmul(P,H_trans),S_inv), H_trans) #8x6 = 8x8 * 8x6 * 6x6 - #print("Kalman Gain:\n", K) - - ## Estimate the current state using the state update equation - # state update: X(n+1) = X(n) + K*(Z-H*X(n)) - X = X_next + np.matmul(K,(Z-np.matmul(H,X_next))) #8x1 = 8x1 + 8x6 * (6x1 - 6x8 * 8x1) - #print("State:\n", X) - - ## Update the current estimate uncertainty - # covariance update: P = (I-K*H)*P*(I-K*H)^T + K*R*K^T - # or P = (I-K*H)*P (simple version) - P = np.matmul((I_8-np.matmul(K,H)),P_next) #8x8 = (8x8 - 8x6 * 6x8) * 8x8 - #P = np.matmul(np.matmul((I_8-np.matmul(K,H)),P_next),np.transpose(I_8-np.matmul(K,H))) + np.matmul(np.matmul(K,R),np.transpose(K)) - #print("Covariance:\n", P) - -## Run the KF -def timer_callback(event): - global cur_gps - if initialized: - predict() - measure() - update() - if mobi_start: - cur_gps = calc_equiv_gps(X[0], X[2]) - else: - cur_gps = (0,0) - ## Publish the state for the robot to use. - state_msg = EKFState() - state_msg.latitude = cur_gps[0] - state_msg.longitude = cur_gps[1] - state_msg.x = X[0] - state_msg.x_velocity = X[1] - state_msg.y = X[2] - state_msg.y_velocity = X[3] - state_msg.yaw = X[4] - state_msg.yaw_rate = X[5] - state_msg.left_velocity = X[6] * WHEEL_RADIUS - state_msg.right_velocity = X[7] * WHEEL_RADIUS - state_pub.publish(state_msg) - -# ## print state vector to the console in a readable format -# def print_state(name, vector): -# state = mat_to_ls(vector) -# #print(state) -# line = name + ": x=" + "{:.2f}".format(state[0]) + ", y=" + "{:.2f}".format(state[1]) \ -# + ", x-vel=" + "{:.2f}".format(state[2]) + ", y-vel=" + "{:.2f}".format(state[3]) -# print(line) - -# calculate the equivalent GPS coords for our EKF position -def calc_equiv_gps(x,y): - lat = x / lat_to_m + start_gps.latitude - lon = y / lon_to_m + start_gps.longitude - return (lon,lat) - -## Functions to receive sensor readings. -## Stay in buffer until measure() is run each clock cycle. -def meas_gps(gps_msg): - global Z_buffer, start_gps, R - # we're treating this input as a direct measure of x and y - if gps_msg.hasSignal: - if not mobi_start: - print(f"not mobi stop") - if start_gps is None: - R[0,0] = 10 - R[1,1] = 10 - start_gps = gps() - start_gps.latitude = gps_msg.latitude - start_gps.longitude = gps_msg.longitude - else: - # average out the start position to make it more accurate - start_gps.latitude = 0.9 * start_gps.latitude + 0.1 * gps_msg.latitude - start_gps.longitude = 0.9 * start_gps.longitude + 0.1 * gps_msg.longitude - else: - print(f"mobis trat pogog") - # TODO verify this coordinate system matches up - Z_buffer[0] = (gps_msg.latitude - start_gps.latitude) * lat_to_m - Z_buffer[1] = (gps_msg.longitude - start_gps.longitude) * lon_to_m - -def meas_imu(imu_msg): - global Z_buffer - # saves robot's current heading in radians (0 north, CW) - orientation = imu_msg.orientation - quaternion = ( - orientation.x, - orientation.y, - orientation.z, - orientation.w) - # do bad stuff to make the simulator work - # bad_quat = [-quaternion[3], quaternion[1], -quaternion[2], quaternion[0]] - # shit_ass = [f"{x * 180 / 3.1415:4.01f}" for x in transformations.euler_from_quaternion(quaternion)] - # print(shit_ass) - yaw_rads = transformations.euler_from_quaternion(quaternion)[2] #TODO check sign #yaw should be 2 but hmmm - Z_buffer[2] = yaw_rads - yaw_rate = imu_msg.angular_velocity.z #TODO check sign - Z_buffer[3] = yaw_rate - -def meas_vel(vel_msg): - global Z_buffer - Z_buffer[4] = vel_msg.leftVel / WHEEL_RADIUS - Z_buffer[5] = vel_msg.rightVel / WHEEL_RADIUS - -def init_mobi_start(mobi_msg): - global mobi_start - mobi_start = True - -def main(): - global state_pub - # initalize the node in ROS - rospy.init_node('ekf_with_gps') - - # initialize the EKF - initialize() - - ## Subscribe to Mobility Start/Stop messages - rospy.Subscriber("/igvc/mobstart", Bool, init_mobi_start, queue_size=1) - - ## Subscribe to Sensor Values - rospy.Subscriber("/igvc/gps", gps, meas_gps, queue_size=1) - rospy.Subscriber("/imu/", Imu, meas_imu, queue_size=1) - rospy.Subscriber("/igvc/velocity", velocity, meas_vel, queue_size=1) - ## Subscribe to Control Parameters - #rospy.Subscriber("/igvc/motors_raw", motors, update_control_signal, queue_size=1) - - ## Publish the KF state - state_pub = rospy.Publisher("/igvc/state", EKFState, queue_size=1) - - # create timer with a period of 0.1 (10 Hz) - rospy.Timer(rospy.Duration(dt), timer_callback) - - # init_mobi_start(None) - - # pump callbacks - rospy.spin() - - -if __name__ == '__main__': - try: - main() - except rospy.ROSInterruptException: - pass diff --git a/igvc_ws/src/igvc_ekf/src/export.csv b/igvc_ws/src/igvc_ekf/src/export.csv deleted file mode 100644 index a7489bc..0000000 --- a/igvc_ws/src/igvc_ekf/src/export.csv +++ /dev/null @@ -1 +0,0 @@ -lat, lon diff --git a/igvc_ws/src/igvc_ekf/src/igvc_ekf_node.cpp b/igvc_ws/src/igvc_ekf/src/igvc_ekf_node.cpp deleted file mode 100644 index 0ee366a..0000000 --- a/igvc_ws/src/igvc_ekf/src/igvc_ekf_node.cpp +++ /dev/null @@ -1,275 +0,0 @@ -#include -#include - -#include - -#include -#include -#include -#include -#include - -#include "igvc_ekf/ekf.h" -#include "igvc_msgs/EKFState.h" -#include "igvc_msgs/EKFConvergence.h" -#include "igvc_msgs/gps.h" -#include "igvc_msgs/velocity.h" -#include "igvc_msgs/EKFService.h" -#include "igvc_msgs/motors.h" - -// Init the EKF -EKF ekf; - -// State and control vectors -Eigen::VectorXd x(8), u(2); - -// Measurement vector -Eigen::VectorXd z(3); -double last_heading = -1010; -double x_coord, y_coord; - -ros::Publisher output_pub; -ros::Publisher convergence_pub; - -uint16_t data_init = 0; - -// Logging -std::ofstream gps_file; -std::ofstream vel_file; -std::ofstream accel_file; -std::ofstream hdg_file; - - -igvc_msgs::EKFState encodeEKFState(Eigen::VectorXd x) -{ - igvc_msgs::EKFState ekf_state; - - ekf_state.x = x(0); - ekf_state.y_velocity = x(1); - ekf_state.y = x(2); - ekf_state.y_velocity = x(3); - ekf_state.yaw = x(4); - ekf_state.yaw_rate = x(5); - ekf_state.left_velocity = x(6); - ekf_state.right_velocity = x(7); - - return ekf_state; -} - - -void updateEKF(const ros::TimerEvent& time_event) -{ - // If all sensor data has been received once - if(data_init & 0x3) - { - // EKF state message - igvc_msgs::EKFState state; - - // Update the extended kalman filter - x = ekf.run_filter(z, u); - - // Publish predicted state - output_pub.publish(encodeEKFState(x)); - } -} - -void updateConvergence(const ros::TimerEvent& timer_event) -{ - // If all the sensor data has been received at least once, start publishing convergence - if(data_init & 0x3) //0011 since I removed position, accel, and gps - { - igvc_msgs::EKFConvergence converge; - - converge.data = ekf.get_convergence(); - - convergence_pub.publish(converge); - } -} - -bool get_robot_state(igvc_msgs::EKFService::Request &request, - igvc_msgs::EKFService::Response &response) -{ - // Construct the state vector to publish to other modules - response.state = encodeEKFState(x); - - return true; -} - -/****** - * Helper functions - ******/ - - -float constrainAngle(float x){ - x = std::fmod(x + 180,360); - if (x < 0) - x += 360; - return x - 180; -} - -float angleDiff(float a,float b){ - float dif = std::fmod(b - a + 180,360); - if (dif < 0) - dif += 360; - return dif - 180; -} - - - -/****** - * Measurement callbacks - ******/ - - -// void updateGPS(const igvc_msgs::gps::ConstPtr& gps_msg) -// { -// std::string data = std::to_string(gps_msg->latitude) + ", " + std::to_string(gps_msg->longitude) + "\n"; -// gps_file << data; - -// // Update GPS coords -// z(0) = degreesToRadians(gps_msg->latitude); // Latitude -// z(1) = degreesToRadians(gps_msg->longitude); // Longitude - -// // Show the GPS has been initialized -// data_init |= 1; -// } - -void updateVelocity(const igvc_msgs::velocity::ConstPtr& vel_msg) -{ - // Update measurements for left and right wheel velocities - //z(6) = WHEEL_RADIUS * (vel_msg->leftVel + vel_msg->rightVel) / 2.0; - z(0) = vel_msg->leftVel; - z(1) = vel_msg->rightVel; - - // Show that the velocities have been updated - data_init |= (1); - - std::string data = std::to_string(z(0)) + ", " + std::to_string(z(1)) + "\n"; - vel_file << data; -} - -void updateIMU(const sensor_msgs::Imu::ConstPtr& imu_msg) -{ - // acceleration - //z(4) = imu_msg->linear_acceleration.x; - - // Show that the heading has been updated - data_init |= (1 << 1); - - tf::Quaternion q(imu_msg->orientation.w, imu_msg->orientation.x, imu_msg->orientation.y, imu_msg->orientation.z); - tf::Matrix3x3 m(q); - double roll, pitch, yaw; - m.getRPY(roll, pitch, yaw); - // std::cout << roll << " -- " << pitch << " -- " << yaw << std::endl; - - // HACK: For some reason, pitch is the yaw from the IMU in the simulator - double deg_hdg = radiansToDegrees(pitch); - - if(last_heading < -1000) - { - last_heading = deg_hdg; - } - - // TODO not sure what this is, maybe yaw rate - //z(4) = degreesToRadians(angleDiff(last_heading, deg_hdg)) / 0.02; // TODO: replace with angular velocity from IMU once coordinates are established better - // yaw (TODO figure out which I should use) - //z(5) += degreesToRadians(angleDiff(last_heading, deg_hdg)); // Update local heading from change to global heading - z(2) = degreesToRadians(deg_hdg); // Update global heading - last_heading = deg_hdg; - - // Update the heading file - std::string data = std::to_string(z(2)) + "\n"; - hdg_file << data; - - // Update the accel file - //data = std::to_string(z(4)) + "\n"; - //accel_file << data; -} - -void updateControlSignal(const igvc_msgs::motors::ConstPtr& motors) -{ - u(0) = motors->left; - u(1) = motors->right; -} - - -// void updatePosition(const ros::TimerEvent& timer_event) -// { -// // position initialization flag -// data_init |= (1 << 3); - -// // Compute time difference -// double dt = (timer_event.current_real - timer_event.last_real).toSec(); - -// // X component velocity and acceleration -// double vx = z(6) * cos(z(5)); -// double ax = z(10) * cos(z(5)); -// x_coord += (vx * dt) + (ax * pow(dt, 2)); - -// // Y component velocity and acceleration -// double vy = z(6) * sin(z(5)); -// double ay = z(10) * sin(z(5)); -// y_coord += (vy * dt) + (ay * pow(dt, 2)); - -// // Update the measurement vector -// z(3) = x_coord; -// z(4) = y_coord; -// } - - -int main(int argc, char** argv) -{ - ros::init(argc, argv, "igvc_ekf_node"); - - ros::NodeHandle ekf_node; - - // Initialize the measurement vector (v_l,v_r,yaw) - z.resize(3); - z.setZero(3); - - // Initialize the x and y coordinates to 0 (the starting position) - x_coord = 0; - y_coord = 0; - - // Initialize the subscribers - ros::Subscriber imu_sub = ekf_node.subscribe(ekf_node.resolveName("/igvc/imu"), 1, &updateIMU); - ros::Subscriber vel_sub = ekf_node.subscribe(ekf_node.resolveName("/igvc/velocity"), 1, &updateVelocity); - //ros::Subscriber gps_sub = ekf_node.subscribe(ekf_node.resolveName("/igvc/gps"), 1, &updateGPS); - ros::Subscriber ctrl_sub = ekf_node.subscribe(ekf_node.resolveName("/igvc/motors_raw"), 1, &updateControlSignal); - - // Initialize logging - std::string path = ros::package::getPath("igvc_ekf"); - - gps_file.open(path + "/data/gps_log.csv"); - vel_file.open(path + "/data/vel_log.csv"); - accel_file.open(path + "/data/accel_log.csv"); - hdg_file.open(path + "/data/hdg_log.csv"); - - gps_file << "lat, lon\n"; - - // Initialize the state and control vectors - x.resize(8); - u.resize(2); - //x << degreesToRadians(35.194881), degreesToRadians(-97.438621), degreesToRadians(0), x_coord, y_coord, degreesToRadians(0), 0, 0, 0, 0, 0; - x << x_coord, 0, y_coord, 0, 0, 0, 0, 0; - u << 0, 0; - - // Initialize the EKF - ekf.init(x); - - // Publishers - output_pub = ekf_node.advertise(ekf_node.resolveName("/igvc_ekf/filter_output"), 10); - convergence_pub = ekf_node.advertise(ekf_node.resolveName("/igvc_ekf/EKFConvergence"), 10); - - // Service - ros::ServiceServer get_state_srv = ekf_node.advertiseService("/igvc_ekf/get_robot_state", &get_robot_state); - - // Timers - //ros::Timer dead_reckon_update = ekf_node.createTimer(ros::Duration(0.01), &updatePosition, false); - ros::Timer ekf_update = ekf_node.createTimer(ros::Duration(0.02), &updateEKF, false); - ros::Timer converge_update = ekf_node.createTimer(ros::Duration(0.025), &updateConvergence, false); - - ros::spin(); - - return 0; -} \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/scripts/jacobean.txt b/igvc_ws/src/igvc_ekf/src/jacobean.txt similarity index 100% rename from igvc_ws/src/igvc_ekf/src/scripts/jacobean.txt rename to igvc_ws/src/igvc_ekf/src/jacobean.txt diff --git a/igvc_ws/src/igvc_ekf/src/scripts/accel_log.csv b/igvc_ws/src/igvc_ekf/src/scripts/accel_log.csv deleted file mode 100644 index 311c9ec..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/accel_log.csv +++ /dev/null @@ -1,3700 +0,0 @@ -0.000039 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 -0.000003 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-0.331466 -0.034681 --0.280499 --4.115472 --27.341112 --19.671675 --12.391489 --8.764825 --6.635556 --5.255444 --4.298998 --3.603163 --3.077870 --2.669583 --2.344672 --2.081025 --1.863550 --1.681633 --1.527619 --1.395837 --1.282041 --1.182954 --1.096043 --1.019310 --0.951150 --0.890287 --0.835665 --0.786423 --0.741840 --0.701331 --0.664382 --0.630577 --0.599552 --0.570993 --0.544637 --0.520248 --0.497634 --0.476613 --0.457033 --0.438760 --0.421679 --0.405675 --0.390663 --0.376553 --0.363276 --0.350762 --0.338952 --0.327787 --0.317228 --0.307222 --0.297730 --0.288720 --0.280157 --0.272007 --0.264246 --0.256850 --0.249789 --0.243050 --0.236606 --0.230444 --0.224544 --0.218894 --0.213471 --0.208275 --0.203284 --0.198489 --0.193883 --0.189450 --0.185183 --0.181075 --0.177117 --0.173301 --0.169619 --0.166066 --0.162637 diff --git a/igvc_ws/src/igvc_ekf/src/scripts/convert_ekf_gps_log.py b/igvc_ws/src/igvc_ekf/src/scripts/convert_ekf_gps_log.py deleted file mode 100644 index 09b5c73..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/convert_ekf_gps_log.py +++ /dev/null @@ -1,15 +0,0 @@ -from numpy import genfromtxt, savetxt, vectorize -from math import degrees - - -# Load data -gps_data_radians = genfromtxt("gps_log.csv", delimiter=",") - -# vectorize the conversion between degrees and radians -rad_to_deg = vectorize(degrees) - -# Convert to degrees and store in a numpy array -gps_data_degrees = rad_to_deg(gps_data_radians) - -# Save the degrees version to a CSV -savetxt("gps_data_degrees.csv", gps_data_degrees, delimiter=",") \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/scripts/easy_print_jacobean.py b/igvc_ws/src/igvc_ekf/src/scripts/easy_print_jacobean.py deleted file mode 100644 index 8886a10..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/easy_print_jacobean.py +++ /dev/null @@ -1,62 +0,0 @@ -# We just need this to calculate the Jacobean for us -# so we can manually encode it into the equations in ekf.cpp - -from sympy import sin, cos, Matrix, Symbol, eye -from sympy.abc import phi, x, y, t, r, l -from sympy import pprint - - -# Constants -wheelbase_len = 0.84455 # Wheelbase length (meters) -wheel_rad = 0.127 # Wheel radius (meters) -#R = 6378137 # Earth radius (meters) - -x_dot = Symbol("\dot{x}") -y_dot = Symbol("\dot{y}") -phi_dot = Symbol("\dot{phi}") - -# State variables -state_vars = ["x","x_dot","y","y_dot","phi","phi_dot","l","r"] #l=v_l, r=v_r - -# Differential drive approximation -# Velocity calculations -v_k = 0.5 * wheel_rad * (l + r) -x_dot_k = v_k * cos(phi) -y_dot_k = v_k * sin(phi) -phi_dot_k = (wheel_rad / wheelbase_len) * (l - r) - -# Position calculations -x_k = x + x_dot * t -y_k = y + y_dot * t -phi_k = phi + phi_dot * t - -# Setup vector of the functions -f = Matrix([ - x_k, - x_dot_k, - y_k, - y_dot_k, - phi_k, - phi_dot_k, - l, - r - ]) - -# Setup vector of the variables -X = Matrix([x,x_dot,y,y_dot,phi,phi_dot,l,r]) - -# IGVC Fk matrix -model = f -jac_model = f.jacobian(X) - -# # Input dictionary setup -# input_dict = {self.state_vars[i]: last_xk[i] for i in range(0, len(self.state_vars))} -# input_dict['t'] = dt -# ctrl_dict = {self.ctrl_vars[i]: ctrl[i] for i in range(0, len(self.ctrl_vars))} - -# F = self.jac_model.subs(input_dict).subs(ctrl_dict) -# new_state = self.model.subs(input_dict).subs(ctrl_dict) -# P = (F * P * F.T) + self.Q - -# Print the Jacobean to the console -pprint(jac_model) diff --git a/igvc_ws/src/igvc_ekf/src/scripts/ekf.py b/igvc_ws/src/igvc_ekf/src/scripts/ekf.py deleted file mode 100644 index ae4749b..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/ekf.py +++ /dev/null @@ -1,123 +0,0 @@ -import numpy as np - -from math import radians, degrees -import time - -from sympy import sin, cos, asin, atan2, sqrt, Matrix, Symbol, eye -from sympy.abc import phi, p, x, y, v, a, t, r, l - -class EKF: - - def __init__(self, x_o): - # Initialize state and covariance - self.x_k = x_o - self.P_k = eye(11) * 0.8 - - # Initialize motion model - self.motion = MotionModel(self.P_k) - - # Initialize measurement model - self.measure = MeasurementModel() - - def run_filter(self, sensor_data, ctrl, dt): - self.x_k, self.P_k = self.motion.run_model(self.x_k, self.P_k, ctrl, dt) - - return self.x_k - - - -class MotionModel: - """ - SCR IGVC Motion Model - """ - - # Constants - L = 0.84455 # Wheelbase length (meters) - wheel_rad = 0.127 # Wheel radius (meters) - R = 6378137 # Earth radius (meters) - - def __init__(self, Po): - x = Symbol("x") - - # State variables - #self.state_vars = ["phi", "lamda", "theta", "x", "y", "psi", "v", "a"] - #self.ctrl_vars = ["l", "r"] - self.state_vars = ["x","x_dot","y","y_dot","phi","phi_dot","l","r"] #l=v_l, r=v_r - - # Differential drive approximation - # Velocity calculations - v_k = 0.5 * self.wheel_rad * (l + r) - x_dot = v_k * cos(phi) - y_dot = v_k * sin(phi) - phi_dot = (self.wheel_rad / self.L) * (l - r) - - # Position calculations - x_k = x + x_dot * t - y_k = y + y_dot * t - #psi_k = psi + psi_dot * t - #theta_k = theta + psi_dot * t - phi_k = phi + phi_dot * t - - # GPS calcs - #lat = phi + (v * t) * cos(theta) / self.R - #lon = lamda + (v * t) * sin(theta) / (self.R * cos(phi)) - - f = Matrix([ - x_k, - x_dot, - y_k, - y_dot, - phi_k, - phi_dot, - l, - r - ]) - - #X = Matrix([phi, lamda, theta, x, y, psi, v, p, l, r, a]) - X = Matrix([x,x_dot,y,y_dot,phi,phi_dot,l,r]) - - # IGVC Fk matrix - self.model = f - self.jac_model = f.jacobian(X) - self.Q = eye(11) * 0.2 - - #self.csv_data = "lat, lon\n" - - def run_model(self, last_xk, P, ctrl, dt): - last_xk_mat = Matrix(last_xk[:11]) - - # Input dictionary setup - input_dict = {self.state_vars[i]: last_xk[i] for i in range(0, len(self.state_vars))} - input_dict['t'] = dt - ctrl_dict = {self.ctrl_vars[i]: ctrl[i] for i in range(0, len(self.ctrl_vars))} - - F = self.jac_model.subs(input_dict).subs(ctrl_dict) - new_state = self.model.subs(input_dict).subs(ctrl_dict) - P = (F * P * F.T) + self.Q - - #self.csv_data += str(degrees(new_state[0])) + "," + str(degrees(new_state[1])) + "\n" - - return (new_state, P) - - def get_model(self): - return self.model - - def get_cov(self): - return self.cov_matrix - - def get_jac(self): - return self.jac_model - - def print_gps(self): - print(self.gps_lat, ", ", self.gps_lon) - - def export_data(self): - csv_file = open("export.csv", "w") - csv_file.write(self.csv_data) - csv_file.close() - - -class MeasurementModel: - - def __init__(self): - pass \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/scripts/ekf_log_visual.py b/igvc_ws/src/igvc_ekf/src/scripts/ekf_log_visual.py deleted file mode 100644 index 49e3962..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/ekf_log_visual.py +++ /dev/null @@ -1,5 +0,0 @@ -from matplotlib import pyplot as plt -from numpy import genfromtxt - -vel_data = genfromtxt('vel_log.csv', delimiter=',') -accel_data = genfromtxt('accel_log.csv', delimiter=',') \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/scripts/ekf_test.py b/igvc_ws/src/igvc_ekf/src/scripts/ekf_test.py deleted file mode 100644 index 27e75e7..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/ekf_test.py +++ /dev/null @@ -1,67 +0,0 @@ -""" -Motion model code and simulation for kalman filter model -""" -from math import radians -import time - -from matplotlib import pyplot as plt - -from ekf import EKF - -# Main program -if __name__ == "__main__": - - # GPS and local heading - hdg = radians(0) - psi_k = radians(0) - - # Driving simulation - last_xk = [ - radians(35.210467), - radians(-97.441811), - hdg, - 0, - 0, - psi_k, - 0, - 0, - 0, - 0 - ] - - # Commanded wheel velocities - ctrl_signal = [ - 3.14, - 6.3 - ] - - # Init the ekf - ekf = EKF(last_xk) - - - print(ekf.motion.get_jac()) - exit(0) - - dt = 1.0 / 20.0 - sim_time = 4 - sim_steps = int(round(sim_time / dt)) - - points = [] - - # Simulate the EKF - start_time = time.time() - for _ in range(0, sim_steps): - # last_xk = motion.run_filter(last_xk, ctrl_signal, dt) - last_xk = ekf.run_filter(last_xk, ctrl_signal, dt) - points.append((last_xk[3], last_xk[4])) - - end_time = time.time() - - # Plot the EKF x,y position estimates - plt.scatter(*zip(*points)) - plt.xlabel("X") - plt.ylabel("Y") - plt.title("Predicted Local Frame - EKF") - plt.show() - - print("elapsed time:", end_time-start_time) diff --git a/igvc_ws/src/igvc_ekf/src/scripts/export.csv b/igvc_ws/src/igvc_ekf/src/scripts/export.csv deleted file mode 100644 index 2f30208..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/export.csv +++ /dev/null @@ -1,360 +0,0 @@ -lat, lon,theta,x,y,psi,vel,psi_dot,??,??? -35.1948699926,-97.438696590743.5827118302,2.18646227519,9.67076880225,-15144.3899324,0.00107009261904,1810.79012439,3921.40581275,-3915.22506211,0.160877266163 -35.1948733217,-97.438707055844.4033579032,0.314492264256,11.4614611221,-18272.8200813,2.43040831704E-05,2182.40504025,4917.67403153,-4911.47577652,0.000808147958667 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a/igvc_ws/src/igvc_ekf/src/scripts/gps_dist_test.py +++ /dev/null @@ -1,38 +0,0 @@ -from math import radians, degrees, atan2, sin, cos, asin, fmod, pi - -R = 6356 #6378.1 #Radius of the Earth -d = 12.37 / 1000 #Distance in km - -lat1 = radians(35.210467) -lon1 = radians(-97.441811) -brng = radians(0)#radians(270.95) - -# lat2 = asin( sin(lat1)*cos(d/R) + cos(lat1)*sin(d/R)*cos(brng)) -# -# lon2 = lon1 + atan2(sin(brng)*sin(d/R)*cos(lat1), cos(d/R)-sin(lat1)*sin(lat2)) -# -# lat2 = degrees(lat2) -# lon2 = degrees(lon2) - -# Sketchy way -R = 6378137 -v = 3.19023999999999 # velocity of 1 m/s -t = 1 # seconds since last update -lat2 = lat1 + (v * t) * cos(brng) / R -lon2 = lon1 + (v * t) * sin(brng) / (R * cos(lat1)) - -print(degrees(lat2), ",", degrees(lon2)) - -# import geopy -# from geopy.distance import VincentyDistance -# -# # given: lat1, lon1, b = bearing in degrees, d = distance in kilometers -# d = 12.37 / 1000 -# lat1 = 35.210356 #Current lat point converted to radians -# lon1 = 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"theta", "x", "y", "psi", "v", "a"] -ctrl_vars = ["l", "r"] - -# Differential drive approximation -# Velocity calculations -v_k = 0.5 * wheel_rad * (l + r) -x_dot = v_k * cos(psi) -y_dot = v_k * sin(psi) -psi_dot = (wheel_rad / L) * (l - r) - -# Position calculations -x_k = x + x_dot * t -y_k = y + y_dot * t -psi_k = psi + psi_dot * t -theta_k = theta + psi_dot * t - -# GPS calcs -lat = phi + (v * t) * cos(theta) / R -lon = lamda + (v * t) * sin(theta) / (R * cos(phi)) - -f = Matrix([ - lat, - lon, - theta_k, - x_k, - y_k, - psi_k, - v_k, - psi_dot, - l, - r, - a - ]) - -X = Matrix([phi, lamda, theta, x, y, psi, v, p, l, r, a]) - -# IGVC Fk matrix -model = f -jac_model = f.jacobian(X) - -pprint(jac_model) \ No newline at end of file diff --git a/igvc_ws/src/igvc_ekf/src/scripts/vel_log.csv b/igvc_ws/src/igvc_ekf/src/scripts/vel_log.csv deleted file mode 100644 index ea9e372..0000000 --- a/igvc_ws/src/igvc_ekf/src/scripts/vel_log.csv +++ /dev/null @@ -1,3700 +0,0 @@ -3.153477 -3.153477 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