Filter löschen
Filter löschen

Any suggestions of Q and R to my LQR representation to get reasonable step response?

2 Ansichten (letzte 30 Tage)
This is below my code :
% Define the matrix A, B, C, D
A=[0,1,0,0;0,-42.44,212.24,0;0,0,0,1;0,0,0,-42.44];
B=[0,0;106.12,-5;0,0;78.6,-42.44];
C=[1,0,0,0;0,1,0,0;0,0,1,0;0,0,0,1];
D=[0];
%Detect the controllability of the Given system
Qc= ctrb(A,B);
rank_of_Qc = rank(Qc)
x = 1;
Q = diag([x 0 0 0]);
R=[0.9,0;0,0.9];
K=lqr(A,B,Q,R)
%Find step response of LQR controller
LQRcontroller_sys=ss(A-B*K,B,C,D)
t=0:0.1:10;
step(LQRcontroller_sys,t)
grid on;
This is my results
My system
  1 Kommentar
Raj
Raj am 3 Jun. 2019
Bearbeitet: Raj am 3 Jun. 2019
What do you mean by "reasonable step response"? You can tune the LQR weight matrices (Q & R) to get whatever output response you need. Depends on what you want to achieve.

Melden Sie sich an, um zu kommentieren.

Antworten (0)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by