Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/57152
Type: Artigo de periódico
Title: Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions
Author: Oliveira, RCLF
de Oliveira, MC
Peres, PLD
Abstract: This paper investigates the problems of checking robust stability and evaluating robust H-2 performance of uncertain continuous-time linear systems with time-invariant parameters lying in polytopic domains. The novelty is the ability to check robust stability by constructing a particular parameter-dependent Lyapunov function which is a polynomial function of the uncertain system matrices, as opposed to a general polynomial function of the uncertain parameter. The degree of the polynomial is tied to a certain integer kappa. The existence of such Lyapunov function can be proved by solving parameter-dependent Linear Matrix Inequalities (LMIs), which are guaranteed to be solvable for a sufficiently large yet finite value of kappa whenever the system is robustly stable. Extensions to guaranteed H-2 cost computation are also provided. Numerical aspects concerning the programming and the evaluations of the proposed tests are discussed and illustrated by examples. (C) 2008 Elsevier B.V. All rights reserved.
Subject: robust stability
robust H-2 performance
polynomial parameter-dependent lyapunov function
linear matrix inequalities
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.sysconle.2008.01.006
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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