Phase Margins in a Class of Nonlinear Systems: Lyapunov, Circle Criterion and Describing Function Approaches

Das, Siddharth Sankar; Shtessel, Yuri B.; Plestan, Franck

doi:10.1016/j.ifacol.2020.12.1743

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Cited by 3 publications

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Definition and analysis of stability margins for a class of nonlinear systems

Das

Shtessel

Zhang

et al. 2021

Intl J Robust & Nonlinear

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In this article, phase and gain stability margins are defined and studied for a class of nonlinear systems namely, the Lur'e type. The computation algorithms for practical phase and gain margin identification in such systems based on the describing function—harmonic balance technique, circle criterion, and Lyapunov methods involving linear matrix inequalities are presented. The efficacy of the proposed methodologies is validated on a case study.

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