Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/76004
Type: Artigo de periódico
Title: A less conservative LMI condition for the robust stability of discrete-time uncertain systems
Author: Ramos, DCW
Peres, PLD
Abstract: In this paper, a less conservative condition for the robust stability of uncertain discrete-time linear systems is proposed. The uncertain parameters, assumed to be time-invariant, are supposed to belong to convex bounded domains (polytope type uncertainty). The stability condition is formulated in terms of a set of linear matrix inequalities involving only the vertices of the polytope domain. A simple and numerically efficient feasibility test provides a set of Lyapunov matrices whose convex combination can be used to assess the stability of any dynamic matrix inside the uncertainty domain. Examples illustrate the results. (C) 2001 Elsevier Science B.V. All rights reserved.
Subject: robust stability
parameter dependent Lyapunov function
linear matrix inequality
discrete-time uncertain system
time-invariant uncertainty
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0167-6911(01)00120-7
Date Issue: 2001
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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