Robust Stability And Stabilization Of Discrete-time Markov Jump Linear Systems With Partly Unknown Transition Probability Matrix

dc.creatorBraga M.F.
dc.creatorMorais C.F.
dc.creatorOliveira R.C.L.F.
dc.creatorPeres P.L.D.
dc.date2013
dc.date2015-06-25T19:17:25Z
dc.date2015-11-26T15:15:16Z
dc.date2015-06-25T19:17:25Z
dc.date2015-11-26T15:15:16Z
dc.date.accessioned2018-03-28T22:25:06Z
dc.date.available2018-03-28T22:25:06Z
dc.identifier9781479901777
dc.identifierProceedings Of The American Control Conference. , v. , n. , p. 6784 - 6789, 2013.
dc.identifier7431619
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84883529736&partnerID=40&md5=9837cf4dd5548254751c98a667c81ba2
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/89549
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/89549
dc.identifier2-s2.0-84883529736
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1258978
dc.descriptionAn improved linear matrix inequality (LMI) approach is proposed to deal with the problems of stability, mode-dependent and mode-independent stabilization of discrete-time Markov jump linear systems (MJLS) with partly unknown transition probability matrix. As a first contribution, the uncertain parameters of the transition probability matrix are modeled in terms of the Cartesian product of simplexes, called multi-simplex. Then, convergent LMI relaxations with improved trade-off between precision and computational effort are proposed for the stability analysis of this class of MJLS. Finally, new design conditions based on LMIs with a scalar parameter are proposed for state feedback control, in both mode independent and mode dependent scenarios, providing less conservative results when compared to other conditions available in the literature, as illustrated by numerical examples. © 2013 AACC American Automatic Control Council.
dc.description
dc.description
dc.description6784
dc.description6789
dc.descriptionBoeing,Eaton,Halliburton,Honeywell,MathWorks
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dc.languageen
dc.publisher
dc.relationProceedings of the American Control Conference
dc.rightsfechado
dc.sourceScopus
dc.titleRobust Stability And Stabilization Of Discrete-time Markov Jump Linear Systems With Partly Unknown Transition Probability Matrix
dc.typeActas de congresos


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