Robust H state feedback control of discrete-time systems with state delay: an LMI approach

dc.creatorLeite, VJS
dc.creatorTarbouriech, S
dc.creatorPeres, PLD
dc.date2009
dc.dateSEP
dc.date2014-11-19T21:28:32Z
dc.date2015-11-26T17:30:47Z
dc.date2014-11-19T21:28:32Z
dc.date2015-11-26T17:30:47Z
dc.date.accessioned2018-03-29T00:17:39Z
dc.date.available2018-03-29T00:17:39Z
dc.identifierIma Journal Of Mathematical Control And Information. Oxford Univ Press, v. 26, n. 3, n. 357, n. 373, 2009.
dc.identifier0265-0754
dc.identifierWOS:000269611600006
dc.identifier10.1093/imamci/dnp018
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/71168
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/71168
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/71168
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1285587
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionIn this paper, uncertain discrete-time systems with delayed states are investigated. The uncertainty is supposed to belong to a known convex polytope and can affect all system matrices. Sufficient linear matrix inequality conditions are given for the computation of H infinity-guaranteed costs and for the design of robust state feedback gains assuring an H infinity attenuation level. The conditions proposed here can assure robustness irrespective of the value of the delay and, differently from other approaches in the literature, are formulated as convex optimization problems. If the delay is known and the delayed states are available, a feedback gain depending on past values of the state can be used to improve the closed-loop performance of the system. As illustrated by numerical examples, including the model of an industrial electric heater, the proposed techniques are simple to be applied and can lead to less conservative results when compared with other conditions from the literature.
dc.description26
dc.description3
dc.description357
dc.description373
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageen
dc.publisherOxford Univ Press
dc.publisherOxford
dc.publisherInglaterra
dc.relationIma Journal Of Mathematical Control And Information
dc.relationIMA J. Math. Control Inf.
dc.rightsfechado
dc.rightshttp://www.oxfordjournals.org/access_purchase/self-archiving_policyb.html
dc.sourceWeb of Science
dc.subjecttimedelay
dc.subjectdiscrete-time systems
dc.subjectrobust stability
dc.subjectguaranteed H infinity cost
dc.subjectuncertain systems
dc.subjectlinear matrix inequalities
dc.subjectparameter-dependent Lyapunov functions
dc.subjectGuaranteed Cost Control
dc.subjectInfinity Control
dc.subjectVarying Delays
dc.subjectLinear-systems
dc.subjectD-stability
dc.subjectStabilization
dc.subjectUncertainties
dc.titleRobust H state feedback control of discrete-time systems with state delay: an LMI approach
dc.typeArtículos de revistas


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