Plotting the Result

When a discrete equivalent has been found and/or a control law has been computed it is nice to be able to visualise the result. For this purpose two plot functions are included in the toolbox.

plotdisceq

Plots discrete equivalents of a simplex with state spaces of dimension 2. The facet are color coded according to if they are blocked, opened or uncotrollable.

plotmcsim

Performs a monte-carlo simulation of a control law applied to an affine system. The initial conditions for the simulations are uniformly distributed in the state space polytope.

Plotting and Simulation
%de is a discrete equivalent of the prepared simplex s and ct is the control parameters for exiting facet 2.

%plot the discrete equivalent marking facet 2 as exit
h=plotdisceq(s,de,2);

%plot a monte-carlo simulation of the control to exit facet 2
%Note that this is plottet on top of the discrete equivalent
plotmcsim(s,ct,h);