I have a MIMO system with a 2x2 transfer matrix, for example consider:

$\begin{pmatrix} \frac{2}{s+1} & \frac{1}{(s+1)(s+2)}\\ \frac{1}{(s+1)(s+2)}&\frac{2}{s+2} \end{pmatrix}$

I would like to know how to characterize the influence that each channel has on another channel using Matlab.

So I would like characterize the effect of the coupling between the channels.

I know that to see how much a channel influences another i could use RGA, but is there also a way to see this by looking at the step responses and the magnitudes of the frequency responses?

Thank's in advance.

  • $\begingroup$ Have you just tried looking at the response of each output channel to a step on each input channel? It should be quick and easy-peasy if you've got the control systems toolbox. $\endgroup$
    – TimWescott
    Commented Sep 18, 2019 at 21:46
  • $\begingroup$ Do you have the Control Toolbox? $\endgroup$
    – Thales
    Commented Oct 9, 2019 at 12:11


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