DI_SIM_FUN Example of a function to model arbitrary dynamics
If you want to use the sim() or simplot() functions to simulate controllers
with different dynamical systems than those which have been used to compute
the controller, you can do so by providing a handle to a special simulation
function when calling sim() or simplot(), e.g.:
sim(ctrl, @di_sim_fun, x0)
The function handle must point to a function which takes exactly two inputs
and produces exactly two outputs. The first input is always the state at time
"k" (xk) and input at time "k" (uk). First output argument must be the next
state update (xnext) and output associated to state xk (yk). For example:
function [xnext, yk] = your_sim_fun(xk, uk)
A = [1 1; 0 1]; B = [1; 0.5]; C = [1 0];
xnext = A*xk + B*uk;
yk = C*xk;
You can use arbitrary dynamics, i.e. also non-linear functions.