How can I do a transfer function for a MIMO system?

A=[-1 0 0 ; 1 -a 0 ; 0 1 0] B=[1 0 ; 0 a ; 0 0] C=[0 1 0 ; 0 0 1] D=zeros(2,2) there are matrixs. I need for the code for the transfer function.

Answer 1

[Nihar Deodhar]

Just to clarify, the transfer function for a MIMO system will actually be a matrix of transfer functions. Lets say you have MIMO system with two inputs u1, u2 and two outputs y1, y2 then you will have total four transfer functions as follows:

Y1(s)/U1(s), Y1(s)/U2(s), Y2(S)/U1(s) and Y2(s)/U2(s).

The code in your case would be as follows:

% firstoff you would have to define 'a' for now I will just assume a value for it as I am unaware what 'a' is.

a = 1;

A=[-1 0 0 ; 1 -a 0 ; 0 1 0];

B=[1 0 ; 0 a ; 0 0];

C=[0 1 0 ; 0 0 1];

D=zeros(2,2);

[num1 den1] = ss2tf(A,B,C,D,1); % iu = 1

[num2 den2] = ss2tf(A,B,C,D,2); % iu = 2

sys = ss(A,B,C,D);

tf(sys)