Set of SISO transfer functions to MIMO transfer function

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Jilan Samiuddin
Jilan Samiuddin 2019-2-13
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.
  2 个评论
Dhanashree Mohite
Dhanashree Mohite 2019-2-26
Does it mean, how to get MIMO Transfer function using multiple SISO Transfer function in MATLAB?
Jilan Samiuddin
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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回答（1 个）

Dhanashree Mohite
Dhanashree Mohite 2019-2-27
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');
Please refer below link for more understanding:
https://www.mathworks.com/help/control/ref/tf.html?s_tid=doc_ta

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