S-procedure for the analysis of control systems with parametric uncertainties via parameter-dependent Lyapunov functions

Eric Feron, Pierre Apkarian, Pascal Gahinet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

25 Scopus citations

Abstract

In this paper, the problem of robust stability of systems subject to parametric uncertainties is considered. Sufficient conditions for the existence of parameter-dependent Lyapunov functions are given in terms of a criterion which is reminiscent of but less conservative than Popov's stability criterion. It is shown how the so-called S-procedure plays a crucial role in the derivation of this criterion. A comparison with existing stability criteria is done. An equivalent frequency-domain criterion is given. Extensions to cover slowly time-varying systems and robust performance are given.
Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
Pages968-972
Number of pages5
StatePublished - Jan 1 1995
Externally publishedYes

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