time response for optimal tracking problem

sbashrawi

1. The problem statement, all variables and given/known data


Hi guys
I want to know how to plot time responce for optimal tracking problem.
I have the following information
state equation
dx = AX+Bu
Y =Cx
want to track a comand z= [z1;z2] constant
I know that we need to find the feedback gain by
sys= ss(A,B,C,D)
[K,S,E] = lqr(sys,Q,R)
the initial condition is given
closed loop matrix is given by A_closed = A - B*K

HOw can I use these information: A_cloosed, Z , initial contion to plot the time response
in matalb ?

Any help please
2. Relevant equations



3. The attempt at a solution