How to Obtain value of J in LQR command

Hi everyone,

I have solved a problem with ODE45, and used LQR command to contorl the response of the system. I want to see the value of cost function J itself. Is there any command that could help me to see the value of J? J function will be defined as an intergral as below.

Bests,

[Paul]

Can you post your code for a simple problem. Perhaps starting from:

sys = ss(zpk(-1,[-2 -3],1))

sys =
 
  A = 
       x1  x2
   x1  -2   1
   x2   0  -3
 
  B = 
       u1
   x1   0
   x2   2
 
  C = 
         x1    x2
   y1  -0.5   0.5
 
  D = 
       u1
   y1   0
 
Continuous-time state-space model.

Answer 1

[shahin sharafi]

Thank you so much