system with time delay

조회 수: 7 (최근 30일)
Chokri Sendi
Chokri Sendi 2019년 9월 20일
댓글: Chokri Sendi 2019년 9월 24일
I would like to know if there is a command in Matlab to extract matrices of system with time delay, I have a nominal system :
x_dot = A(t)*x(t)+B(t)*u(t)
I would like to simulate the system with time delay t_x and t_u as :
x_dot = A(t)*x(t)+B(t)*u(t) + A_d*x(t-t_x)+B_d(t)*u(t-t_u)
then extract the matrices A_d(t), B_d(t) to use them to design a controller.
your help is appreciated.

답변 (1개)

thoughtGarden
thoughtGarden 2019년 9월 20일
편집: thoughtGarden 2019년 9월 20일
This answer has been updated to better match the OP.
doc ss %search for "InternalDelay" and "OutputDelay"
% Define Delays
t_x = 0.005;
t_u = 0.001;
% Fill in your system matrix here
A = [1,0; 0, 1];
B = [0; 0.5];
C = [1, 0];
D = 0;
% Create the no delay system
sys =ss(A,B,C,D,'InputDelay',t_x,'OutputDelay',t_u);
  댓글 수: 4
thoughtGarden
thoughtGarden 2019년 9월 24일
If you found this answer to be correct, please accept it. Otherwise, please add aditional comments so that it may be improved.
Chokri Sendi
Chokri Sendi 2019년 9월 24일
Thank you for your reply, I still dont see how I can use
" sys =ss(A,B,C,D,'InputDelay',t_x,'OutputDelay',t_u),
to write the system as:
x_dot = A(t)*x(t)+B(t)*u(t) + A_d*x(t-t_x)+B_d(t)*u(t-t_u)
in other word since A and B are known how I can find A_d and B_d from "sys" that I just created .
Thanks

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