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Vehicle.m
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%Vehicle Abstract vehicle class
%
% This abstract class models the kinematics of a mobile robot moving on
% a plane and with a pose in SE(2). For given steering and velocity inputs it
% updates the true vehicle state and returns noise-corrupted odometry
% readings.
%
% Methods::
% Vehicle constructor
% add_driver attach a driver object to this vehicle
% control generate the control inputs for the vehicle
% f predict next state based on odometry
% init initialize vehicle state
% run run for multiple time steps
% run2 run with control inputs
% step move one time step and return noisy odometry
% update update the vehicle state
%
% Plotting/display methods::
% char convert to string
% display display state/parameters in human readable form
% plot plot/animate vehicle on current figure
% plot_xy plot the true path of the vehicle
% Vehicle.plotv plot/animate a pose on current figure
%
% Properties (read/write)::
% x true vehicle state: x, y, theta (3x1)
% V odometry covariance (2x2)
% odometry distance moved in the last interval (2x1)
% rdim dimension of the robot (for drawing)
% L length of the vehicle (wheelbase)
% alphalim steering wheel limit
% speedmax maximum vehicle speed
% T sample interval
% verbose verbosity
% x_hist history of true vehicle state (Nx3)
% driver reference to the driver object
% x0 initial state, restored on init()
%
% Examples::
%
% If veh is an instance of a Vehicle class then we can add a driver object
% veh.add_driver( RandomPath(10) )
% which will move the vehicle within the region -10<x<10, -10<y<10 which we
% can see by
% veh.run(1000)
% which shows an animation of the vehicle moving for 1000 time steps
% between randomly selected wayoints.
%
% Notes::
% - Subclass of the MATLAB handle class which means that pass by reference semantics
% apply.
%
% Reference::
%
% Robotics, Vision & Control, Chap 6
% Peter Corke,
% Springer 2011
%
% See also Bicycle, Unicycle, RandomPath, EKF.
% Copyright (C) 1993-2017, by Peter I. Corke
%
% This file is part of The Robotics Toolbox for MATLAB (RTB).
%
% RTB is free software: you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% RTB is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU Lesser General Public License for more details.
%
% You should have received a copy of the GNU Leser General Public License
% along with RTB. If not, see <http://www.gnu.org/licenses/>.
%
% http://www.petercorke.com
classdef Vehicle < handle
properties
% state
x % true state (x,y,theta)
x_hist % x history
% parameters
speedmax % maximum speed
dim % dimension of the world -dim -> +dim in x and y
rdim % dimension of the robot
dt % sample interval
V % odometry covariance
odometry % distance moved in last interval
verbose
driver % driver object
x0 % initial state
options
vhandle % handle to vehicle graphics object
vtrail % vehicle trail
end
methods(Abstract)
f
end
methods
function veh = Vehicle(varargin)
%Vehicle Vehicle object constructor
%
% V = Vehicle(OPTIONS) creates a Vehicle object that implements the
% kinematic model of a wheeled vehicle.
%
% Options::
% 'covar',C specify odometry covariance (2x2) (default 0)
% 'speedmax',S Maximum speed (default 1m/s)
% 'L',L Wheel base (default 1m)
% 'x0',x0 Initial state (default (0,0,0) )
% 'dt',T Time interval (default 0.1)
% 'rdim',R Robot size as fraction of plot window (default 0.2)
% 'verbose' Be verbose
%
% Notes::
% - The covariance is used by a "hidden" random number generator within the class.
% - Subclasses the MATLAB handle class which means that pass by reference semantics
% apply.
% vehicle common
opt.covar = [];
opt.rdim = 0.2;
opt.dt = 0.1;
opt.x0 = zeros(3,1);
opt.speedmax = 1;
opt.vhandle = [];
[opt,args] = tb_optparse(opt, varargin);
veh.V = opt.covar;
veh.rdim = opt.rdim;
veh.dt = opt.dt;
veh.x0 = opt.x0(:);
assert(isvec(veh.x0, 3), 'Initial configuration must be a 3-vector');
veh.speedmax = opt.speedmax;
veh.options = args; % unused options go back to the subclass
veh.vhandle = opt.vhandle;
veh.x_hist = [];
end
function init(veh, x0)
%Vehicle.init Reset state
%
% V.init() sets the state V.x := V.x0, initializes the driver
% object (if attached) and clears the history.
%
% V.init(X0) as above but the state is initialized to X0.
% TODO: should this be called from run?
if nargin > 1
veh.x = x0(:);
else
veh.x = veh.x0;
end
veh.x_hist = [];
if ~isempty(veh.driver)
veh.driver.init();
end
veh.vhandle = [];
end
function yy = path(veh, t, u, y0)
%Vehicle.path Compute path for constant inputs
%
% XF = V.path(TF, U) is the final state of the vehicle (3x1) from the initial
% state (0,0,0) with the control inputs U (vehicle specific). TF is a scalar to
% specify the total integration time.
%
% XP = V.path(TV, U) is the trajectory of the vehicle (Nx3) from the initial
% state (0,0,0) with the control inputs U (vehicle specific). T is a vector (N) of
% times for which elements of the trajectory will be computed.
%
% XP = V.path(T, U, X0) as above but specify the initial state.
%
% Notes::
% - Integration is performed using ODE45.
% - The ODE being integrated is given by the deriv method of the vehicle object.
%
% See also ODE45.
if length(t) == 1
tt = [0 t];
else
tt = t;
end
if nargin < 4
y0 = [0 0 0];
end
out = ode45( @(t,y) veh.deriv(t, y, u), tt, y0);
y = out.y';
if nargout == 0
plot(y(:,1), y(:,2));
grid on
xlabel('X'); ylabel('Y')
else
yy = y;
if length(t) == 1
% if scalar time given, just return final state
yy = yy(end,:);
end
end
end
function add_driver(veh, driver)
%Vehicle.add_driver Add a driver for the vehicle
%
% V.add_driver(D) connects a driver object D to the vehicle. The driver
% object has one public method:
% [speed, steer] = D.demand();
% that returns a speed and steer angle.
%
% Notes::
% - The Vehicle.step() method invokes the driver if one is attached.
%
% See also Vehicle.step, RandomPath.
veh.driver = driver;
driver.veh = veh;
end
function odo = update(veh, u)
%Vehicle.update Update the vehicle state
%
% ODO = V.update(U) is the true odometry value for
% motion with U=[speed,steer].
%
% Notes::
% - Appends new state to state history property x_hist.
% - Odometry is also saved as property odometry.
xp = veh.x; % previous state
veh.x(1) = veh.x(1) + u(1)*veh.dt*cos(veh.x(3));
veh.x(2) = veh.x(2) + u(1)*veh.dt*sin(veh.x(3));
veh.x(3) = veh.x(3) + u(1)*veh.dt/veh.L * u(2);
odo = [colnorm(veh.x(1:2)-xp(1:2)) veh.x(3)-xp(3)];
veh.odometry = odo;
veh.x_hist = [veh.x_hist; veh.x']; % maintain history
end
function odo = step(veh, varargin)
%Vehicle.step Advance one timestep
%
% ODO = V.step(SPEED, STEER) updates the vehicle state for one timestep
% of motion at specified SPEED and STEER angle, and returns noisy odometry.
%
% ODO = V.step() updates the vehicle state for one timestep of motion and
% returns noisy odometry. If a "driver" is attached then its DEMAND() method
% is invoked to compute speed and steer angle. If no driver is attached
% then speed and steer angle are assumed to be zero.
%
% Notes::
% - Noise covariance is the property V.
%
% See also Vehicle.control, Vehicle.update, Vehicle.add_driver.
% get the control input to the vehicle from either passed demand or driver
u = veh.control(varargin{:});
% compute the true odometry and update the state
odo = veh.update(u);
% add noise to the odometry
if ~isempty(veh.V)
odo = veh.odometry + randn(1,2)*sqrtm(veh.V);
end
end
function u = control(veh, speed, steer)
%Vehicle.control Compute the control input to vehicle
%
% U = V.control(SPEED, STEER) is a control input (1x2) = [speed,steer]
% based on provided controls SPEED,STEER to which speed and steering angle
% limits have been applied.
%
% U = V.control() as above but demand originates with a "driver" object if
% one is attached, the driver's DEMAND() method is invoked. If no driver is
% attached then speed and steer angle are assumed to be zero.
%
% See also Vehicle.step, RandomPath.
if nargin < 2
% if no explicit demand, and a driver is attached, use
% it to provide demand
if ~isempty(veh.driver)
[speed, steer] = veh.driver.demand();
else
% no demand, do something safe
speed = 0;
steer = 0;
end
end
% clip the speed
if isempty(veh.speedmax)
u(1) = speed;
else
u(1) = min(veh.speedmax, max(-veh.speedmax, speed));
end
% clip the steering angle
if isprop(veh, 'steermax') && ~isempty(veh.steermax)
u(2) = max(-veh.steermax, min(veh.steermax, steer));
else
u(2) = steer;
end
end
function p = run(veh, nsteps)
%Vehicle.run Run the vehicle simulation
%
% V.run(N) runs the vehicle model for N timesteps and plots
% the vehicle pose at each step.
%
% P = V.run(N) runs the vehicle simulation for N timesteps and
% return the state history (Nx3) without plotting. Each row
% is (x,y,theta).
%
% See also Vehicle.step, Vehicle.run2.
if nargin < 2
nsteps = 1000;
end
if ~isempty(veh.driver)
veh.driver.init()
end
%veh.clear();
if ~isempty(veh.driver)
veh.driver.plot();
end
veh.plot();
for i=1:nsteps
veh.step();
if nargout == 0
% if no output arguments then plot each step
veh.plot();
drawnow
end
end
p = veh.x_hist;
end
% TODO run and run2 should become superclass methods...
function p = run2(veh, T, x0, speed, steer)
%Vehicle.run2 Run the vehicle simulation with control inputs
%
% P = V.run2(T, X0, SPEED, STEER) runs the vehicle model for a time T with
% speed SPEED and steering angle STEER. P (Nx3) is the path followed and
% each row is (x,y,theta).
%
% Notes::
% - Faster and more specific version of run() method.
% - Used by the RRT planner.
%
% See also Vehicle.run, Vehicle.step, RRT.
veh.init(x0);
for i=1:(T/veh.dt)
veh.update([speed steer]);
end
p = veh.x_hist;
end
function h = plot(veh, varargin)
%Vehicle.plot Plot vehicle
%
% The vehicle is depicted graphically as a narrow triangle that travels
% "point first" and has a length V.rdim.
%
% V.plot(OPTIONS) plots the vehicle on the current axes at a pose given by
% the current robot state. If the vehicle has been previously plotted its
% pose is updated.
%
% V.plot(X, OPTIONS) as above but the robot pose is given by X (1x3).
%
% H = V.plotv(X, OPTIONS) draws a representation of a ground robot as an
% oriented triangle with pose X (1x3) [x,y,theta]. H is a graphics handle.
%
% V.plotv(H, X) as above but updates the pose of the graphic represented
% by the handle H to pose X.
%
% Options::
% 'scale',S Draw vehicle with length S x maximum axis dimension
% 'size',S Draw vehicle with length S
% 'color',C Color of vehicle.
% 'fill' Filled
% 'trail',S Trail with line style S, use line() name-value pairs
%
% Example::
% veh.plot('trail', {'Color', 'r', 'Marker', 'o', 'MarkerFaceColor', 'r', 'MarkerEdgeColor', 'r', 'MarkerSize', 3})
% Notes::
% - The last two calls are useful if animating multiple robots in the same
% figure.
%
% See also Vehicle.plotv, plot_vehicle.
if isempty(veh.vhandle)
veh.vhandle = Vehicle.plotv(veh.x, varargin{:});
end
if ~isempty(varargin) && isnumeric(varargin{1})
% V.plot(X)
pos = varargin{1}; % use passed value
else
% V.plot()
pos = veh.x; % use current state
end
% animate it
Vehicle.plotv(veh.vhandle, pos);
end
function out = plot_xy(veh, varargin)
%Vehicle.plot_xy Plots true path followed by vehicle
%
% V.plot_xy() plots the true xy-plane path followed by the vehicle.
%
% V.plot_xy(LS) as above but the line style arguments LS are passed
% to plot.
%
% Notes::
% - The path is extracted from the x_hist property.
xyt = veh.x_hist;
if nargout == 0
plot(xyt(:,1), xyt(:,2), varargin{:});
else
out = xyt;
end
end
function verbosity(veh, v)
%Vehicle.verbosity Set verbosity
%
% V.verbosity(A) set verbosity to A. A=0 means silent.
veh.verbose = v;
end
function display(nav)
%Vehicle.display Display vehicle parameters and state
%
% V.display() displays vehicle parameters and state in compact
% human readable form.
%
% Notes::
% - This method is invoked implicitly at the command line when the result
% of an expression is a Vehicle object and the command has no trailing
% semicolon.
%
% See also Vehicle.char.
loose = strcmp( get(0, 'FormatSpacing'), 'loose');
if loose
disp(' ');
end
disp([inputname(1), ' = '])
disp( char(nav) );
end % display()
function s = char(veh)
%Vehicle.char Convert to string
%
% s = V.char() is a string showing vehicle parameters and state in
% a compact human readable format.
%
% See also Vehicle.display.
s = ' Superclass: Vehicle';
s = char(s, sprintf(...
' max speed=%g, dT=%g, nhist=%d', ...
veh.speedmax, veh.dt, ...
numrows(veh.x_hist)));
if ~isempty(veh.V)
s = char(s, sprintf(...
' V=(%g, %g)', ...
veh.V(1,1), veh.V(2,2)));
end
s = char(s, sprintf(' configuration: x=%g, y=%g, theta=%g', veh.x));
if ~isempty(veh.driver)
s = char(s, ' driven by::');
s = char(s, [[' '; ' '] char(veh.driver)]);
end
end
end % method
methods(Static)
function h = plotv(varargin)
%Vehicle.plotv Plot ground vehicle pose
%
% H = Vehicle.plotv(X, OPTIONS) draws a representation of a ground robot as an
% oriented triangle with pose X (1x3) [x,y,theta]. H is a graphics handle.
% If X (Nx3) is a matrix it is considered to represent a trajectory in which case
% the vehicle graphic is animated.
%
% Vehicle.plotv(H, X) as above but updates the pose of the graphic represented
% by the handle H to pose X.
%
% Options::
% 'scale',S Draw vehicle with length S x maximum axis dimension
% 'size',S Draw vehicle with length S
% 'fillcolor',C Color of vehicle.
% 'fps',F Frames per second in animation mode (default 10)
%
% Example::
%
% Generate some path 3xN
% p = PRM.plan(start, goal);
% Set the axis dimensions to stop them rescaling for every point on the path
% axis([-5 5 -5 5]);
%
% Now invoke the static method
% Vehicle.plotv(p);
%
% Notes::
% - This is a class method.
%
% See also Vehicle.plot.
if isstruct(varargin{1})
plot_vehicle(varargin{2}, 'handle', varargin{1});
else
h = plot_vehicle(varargin{1}, 'fillcolor', 'b', 'alpha', 0.5);
end
end
end % static methods
end % classdef