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Estabilidade robusta de sistemas lineares em tempo discreto sujeitos a atraso no estado

By Maurício Zardo Oliveira and Daniel Ferreira Coutinho

Abstract

Este artigo aborda o problema de análise de estabilidade robusta de sistemas lineares discretos sujeitos a atraso de transporte e incertezas paramétricas que podem aparecer de forma racional na representação por espaço de estados do sistema. As condições de estabilidade são baseadas em funcionais de Lyapunov-Krasovskii e são obtidas através da aplicação de decomposições não lineares de funções vetoriais racionais. As condições de estabilidade propostas podem ser dependentes e independentes do atraso e são expressas através de desigualdades matriciais lineares (ou LMIs).<br>This paper addresses the robust stability analysis problem of uncertain discrete-time linear systems subject to state delay, where the system state-space representation is allowed to be a rational function of the uncertain parameters. The stability conditions are obtained from Lyapunov-Krasovskii functionals with polynomial parameter dependence by means of nonlinear decompositions of rational vector functions. The proposed results are divided into delay dependent and delay independent, and they are expressed in terms of linear matrix inequalities (LMIs) constraints

Topics: Atraso de Transporte, Sistemas Lineares Incertos em Tempo Discreto, Robustez, LMIs, State delay, Uncertain Discrete-time Systems, Robustness, LMIs, LCC:Electronic computers. Computer science, LCC:QA75.5-76.95, LCC:Instruments and machines, LCC:QA71-90, LCC:Mathematics, LCC:QA1-939, LCC:Science, LCC:Q, DOAJ:Computer Science, DOAJ:Technology and Engineering
Publisher: Sociedade Brasileira de Automática
Year: 2008
DOI identifier: 10.1590/S0103-17592008000300004
OAI identifier: oai:doaj.org/article:00f752bc2868461b8ea87a14f47906fe
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