ℋ∞ Static Output Feedback Control Of Discrete-time Markov Jump Linear Systems With Uncertain Transition Probability Matrix

dc.creatorMorais C.F.
dc.creatorBraga M.F.
dc.creatorOliveira R.C.L.F.
dc.creatorPeres P.L.D.
dc.date2014
dc.date2015-06-25T18:05:52Z
dc.date2015-11-26T15:06:51Z
dc.date2015-06-25T18:05:52Z
dc.date2015-11-26T15:06:51Z
dc.date.accessioned2018-03-28T22:17:16Z
dc.date.available2018-03-28T22:17:16Z
dc.identifier9781479932726
dc.identifierProceedings Of The American Control Conference. Institute Of Electrical And Electronics Engineers Inc., v. , n. , p. 489 - 494, 2014.
dc.identifier7431619
dc.identifier10.1109/ACC.2014.6858636
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84905681322&partnerID=40&md5=60b0b1f7c5fba9fa63165c554b25bc2c
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/88187
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/88187
dc.identifier2-s2.0-84905681322
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1257322
dc.descriptionThis 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.
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dc.description489
dc.description494
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dc.languageen
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.relationProceedings of the American Control Conference
dc.rightsfechado
dc.sourceScopus
dc.titleℋ∞ Static Output Feedback Control Of Discrete-time Markov Jump Linear Systems With Uncertain Transition Probability Matrix
dc.typeActas de congresos


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