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How can I use allmargin() with non-unity feedback?

1 vue (au cours des 30 derniers jours)
Erik le 22 Mar 2024
Commenté : Sam Chak le 29 Mar 2024
I have a (MIMO) feedback system of which I would like to estimate the stability margins using allmargin(). Looking at the documentation of this function, it takes as input the loop gain L and assumes unity feedback, such that the system can be modelled as the figure below:
However, my system has some controller in the negative feedback path, such that the system looks as follows:
Is it possible to compute the stability margins of such a system using allmargin()?

Réponse acceptée

Paul le 22 Mar 2024
Hi Erik,
What's the loop transfer function, L(s), from which one could compute the stability margins (having already determined the closed-loop system is stable)?
In other words, are you asking about the math? Or do you know the math and are just asking how implement the math in Matlab?
  4 commentaires
Erik le 29 Mar 2024
Perfect, thanks! Sorry for the (ultimately) trivial question.
Sam Chak
Sam Chak le 29 Mar 2024
Personally, I have a preference for system (1), where the compensator is positioned on the feedback path. However, I acknowledge that system (2) may be more intuitive for most designers who prioritize driving the error to zero.

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