Root mean square gain of discrete-time switched linear systems under dwell time constraints

dc.creatorColaneri, P
dc.creatorBolzern, P
dc.creatorGeromel, JC
dc.date2011
dc.dateAUG
dc.date2014-07-31T14:50:17Z
dc.date2015-11-26T16:29:35Z
dc.date2014-07-31T14:50:17Z
dc.date2015-11-26T16:29:35Z
dc.date.accessioned2018-03-28T23:10:39Z
dc.date.available2018-03-28T23:10:39Z
dc.identifierAutomatica. Pergamon-elsevier Science Ltd, v. 47, n. 8, n. 1677, n. 1684, 2011.
dc.identifier0005-1098
dc.identifierWOS:000295344600013
dc.identifier10.1016/j.automatica.2011.02.035
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/75752
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/75752
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1269761
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionThis paper deals with discrete-time switched linear systems and considers the problem of computing an upper bound to the dwell time ensuring a pre-specified root mean square (RMS) gain. As a natural consequence of treating general systems of this class in terms of the order and the number of subsystems, only sufficient conditions are worked out. They depend on the complete separation of the stabilizing and anti-stabilizing solutions of the algebraic Riccati equation associated to each subsystem. Moreover, as positive features, it is shown that the dwell time preserving the specification can be calculated through linear matrix inequalities (LMIs) and line search, being thus numerically solvable in polynomial time, and this allows the treatment of stable switched linear systems which do not admit a common Lyapunov function. The case of a guaranteed RMS gain for arbitrary switching signals is also addressed. A simple academic example constituted by three subsystems of third order is included for illustration. (C) 2011 Elsevier Ltd. All rights reserved.
dc.description47
dc.description8
dc.description1677
dc.description1684
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageen
dc.publisherPergamon-elsevier Science Ltd
dc.publisherOxford
dc.publisherInglaterra
dc.relationAutomatica
dc.relationAutomatica
dc.rightsfechado
dc.rightshttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dc.sourceWeb of Science
dc.subjectSwitched linear systems
dc.subjectH(infinity) control
dc.subjectRoot mean square gain
dc.subjectDwell time
dc.subjectLMI
dc.subjectHybrid Systems
dc.subjectLyapunov Functions
dc.subjectOutput-feedback
dc.subjectStability
dc.subjectStabilization
dc.subjectStabilizability
dc.titleRoot mean square gain of discrete-time switched linear systems under dwell time constraints
dc.typeArtículos de revistas


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