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

Definition and analysis of stability margins for a class of nonlinear systems 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Robust and Nonlinear Control Wiley

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

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References (27)

Publisher
Wiley
Copyright
© 2022 John Wiley & Sons, Ltd.
ISSN
1049-8923
eISSN
1099-1239
DOI
10.1002/rnc.5862
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

International Journal of Robust and Nonlinear ControlWiley

Published: Jan 25, 2022

Keywords: circle criterion; describing functions; LMI; nonlinear control; stability margins

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