The generalized Nyquist stability criterion

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Khaled Abojlala
Khaled Abojlala 2017-8-16
回答： Mitul Saini 2018-5-12
Hi I am trying to plot the Nyquist plot of MIMO system. any help please

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Mohamed Belkhayat
Mohamed Belkhayat 2017-10-30
Once you have a MIMO matrix transfer function you can generate the plot by finding the eigenvalues of the matrix as a function of frequency. A 2x2 MIMO matrix transfer function will have 2 eigenvalues at every frequency point. The imaginary vs. the real part of the two eigenvalues will yield two loci that should always connect. This is the generalized Nyquist. I include a sample code for a textbook example in Multivariable Feedback Design by Maciejowski. Example 2.7. This example is limited to 2x2 but can be extended easily to higher dimensions.

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Mitul Saini
Mitul Saini 2018-5-12
Is it only applicable for square matrices?

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