NDLI: Affine parameter-dependent Lyapunov functions for real parametric uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Gahinet, P. Apkarian, P. Chilali, M.
Copyright Year	1994
Description	Author affiliation: Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France (Gahinet, P.)
Abstract	A new test of robust stability/performance is proposed for linear systems with uncertain real parameters. This test is an extension of the notion of quadratic stability where the fixed quadratic Lyapunov function is replaced by a Lyapunov function with affine dependence on the uncertain parameters. Admittedly with some conservatism, the construction of such parameter-dependent Lyapunov functions can be reduced to an linear matrix inequality (LMI) problem, hence is numerically tractable. This LMI-based test can be used for both fixed or time-varying uncertain parameters and is always less conservative than the quadratic stability test whenever the parameters cannot vary arbitrarily fast. Its also completely bypasses the frequency sweep required in real /spl mu/-analysis.<>
Starting Page	2026
Ending Page	2031
File Size	628611
Page Count	6
File Format	PDF
ISBN	0780319680
DOI	10.1109/CDC.1994.411442
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Uncertainty Robust stability Lyapunov method Circuit stability Linear systems Circuit testing System testing Frequency Control systems Robust control
Content Type	Text
Resource Type	Article

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