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Type: Artigo de evento
Title: ℋ∞ Static Output Feedback Control Of Discrete-time Markov Jump Linear Systems With Uncertain Transition Probability Matrix
Author: Morais C.F.
Braga M.F.
Oliveira R.C.L.F.
Peres P.L.D.
Abstract: This paper investigates the problem of ℋ∞ static output feedback control design for discrete-time Markov jump linear systems (MJLS), assuming that the transition probability matrix is not precisely known, but affected by different classes of uncertainties: polytopic, bounded or completely unknown elements. All types of uncertainties are modeled through one single representation, expressed in terms of the Cartesian product of simplexes, called multi-simplex. The main novelty of the proposed design procedure is that, differently from previous approaches in the literature, parameter-dependent Lyapunov matrices are used to certify the closed-loop stability with an ℋ∞ bound for the discrete-time MJLS. The proposed conditions are based on linear matrix inequality relaxations performed in two steps: the first step generates a parameter-dependent state feedback controller that is employed as an input for the second stage, which synthesizes a robust static output feedback gain assuring an ℋ∞ guaranteed cost. The proposed strategy can also cope with ℋ ∞ state feedback control for discrete-time MJLS. Numerical examples illustrate the advantages of the proposed methodology when compared to other methods from the literature. © 2014 American Automatic Control Council.
Editor: Institute of Electrical and Electronics Engineers Inc.
Rights: fechado
Identifier DOI: 10.1109/ACC.2014.6858636
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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