Extended Stability Margin

Version 1.1.1 (1.73 MB) by Leonardo Kammer
Closed-loop extended stability margin of linear time-invariant systems.
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Updated 2 Sep 2025

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The extended stability margin is a novel metric for calculation of stability margin for both multivariable (MIMO) and scalar (SISO) systems. A detailed description of this stability margin is provided in the article "The Extended Stability Margin", which is included in the Proceedings of the 2025 American Control Conference.
The first version of the attached file matches the extended stability margin, as presented at the ACC conference, which is based on the relative gain array of the loop tranfer matrices. Recent improvements in the methodology for assessment of stability margin of multivariable systems led to the revised version of the attached file. A new article is being prepared to cover this improved methodology. Feel free to reach out to me in LinkedIn, if you would like to discuss this topic.

Cite As

Leonardo Kammer (2025). Extended Stability Margin (https://uk.mathworks.com/matlabcentral/fileexchange/179274-extended-stability-margin), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2020a
Compatible with any release
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Version Published Release Notes
1.1.1

ACC presentation added to the zip file.
1.1.0

The assessment of the extended stability margin has replaced the usage of relative gain arrays with the multiplicative factor kappa, as will be described in a journal paper that is currently under revision.
1.0.0