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Type: Artigo de evento
Title: Gain-scheduled H∞-control For Discrete-time Polytopic Lpv Systems Using Homogeneous Polynomially Parameter-dependent Lyapunov Functions
Author: De Caigny J.
Camino J.F.
Oliveira R.C.L.F.
Peres P.L.D.
Swevers J.
Abstract: This paper presents H∞ performance analysis and control synthesis for discrete-time linear systems with time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive parameter-dependent linear matrix inequality conditions that consider the bounds on the rate of variation of the parameters. A systematic procedure is proposed to construct a family of finite-dimensional relaxations based on Pólya's Theorem and a homogeneous polynomially parameter dependent parameterization of arbitrary degree for the Lyapunov matrix. A numerical example illustrates the proposed approach. © 2009 IFAC.
Citation: Ifac Proceedings Volumes (ifac-papersonline). , v. 6, n. PART 1, p. 19 - 24, 2009.
Rights: fechado
Identifier DOI: 10.3182/20090616-3-IL-2002.0021
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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