Set of SISO transfer functions to MIMO transfer function

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Jilan Samiuddin 2019-2-13

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回答： Dhanashree Mohite 2019-2-27

I have a set of transfer functions showing individual interactions between two inputs and two outputs of a MIMO system - in other words, I have SISO equations showing interactions between the controlled variables and the manipulated variables. As an example:

Now I want to have the overall system equation of the MIMO system. How do I do that? Intuitively, I think the MIMO system equation should be

and,

.

However, I am little confused. Thanks for your help in advance.

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Dhanashree Mohite 2019-2-26

Does it mean, how to get MIMO Transfer function using multiple SISO Transfer function in MATLAB?

Jilan Samiuddin 2019-2-26

Yes, that is what I mean. Provided the 4 SISO transfer functions for 2-inputs-2-outputs system, I want the MIMO transfer function.

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Answer 1

Dhanashree Mohite 2019-2-27

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/444808-set-of-siso-transfer-functions-to-mimo-transfer-function#answer_362962

在 MATLAB Online 中打开

As you want to create Transfer function model in MATLAB, you can use ‘tf’ function.

For your case it will be:

Numerator = {1,2 ; 50,300};
Denominator = {[10 1],[16 1] ; [300 30 1], [20 1]};
H = tf(Numerator,Denominator,'InputName',{'u1' 'u2'},...
        'OutputName',{'y1' 'y2'},...
        'Variable','s');