Generalized Gain Margin assessment of Nonlinear Time-Invariant systems via Lyapunov's Second Method

Xiaojing Yang,J Jim Zhu

doi:10.1109/acc.2014.6859022

Generalized Gain Margin assessment of Nonlinear Time-Invariant systems via Lyapunov's Second Method

Xiaojing Yang, J Jim Zhu

https://doi.org/10.1109/acc.2014.6859022

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Publication Date: Jun 1, 2014

Citations: 1

Affiliation: Ohio University, Beihang University

#Lyapunov Functions For Time-varying Systems #Nonlinear Time-Invariant Systems + Show 8 more

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Abstract

Generalized Gain Margin (GGM) has recently been introduced as a Gain Margin (GM) like stability metric for nonlinear systems to gauge its exponential stability margin for vanishing regular perturbations. This paper provides GGM assessment methods using Lyapunov's Second Method (LSM) for Linear Time-Invariant (LTI) systems and Nonlinear Time-Invariant (NLTI) systems, which allows for time-varying gain perturbations. The effectiveness of the method is shown by two concrete examples. The results in this paper could also be extended to linear time-varying and nonlinear time-varying systems using Lyapunov functions for time-varying systems.

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