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Optimal linear and nonlinear control design for chaotic systems

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dc.contributor.authorRafikov, Marat
dc.contributor.authorBalthazar, José Manoel [UNESP]
dc.contributor.institutionUniversidade Regional do Noroeste do Estado do Rio Grande do Sul
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:21:42Z
dc.date.available2014-05-27T11:21:42Z
dc.date.issued2005-12-01
dc.description.abstractIn this work, the linear and nonlinear feedback control techniques for chaotic systems were been considered. The optimal nonlinear control design problem has been resolved by using Dynamic Programming that reduced this problem to a solution of the Hamilton-Jacobi-Bellman equation. In present work the linear feedback control problem has been reformulated under optimal control theory viewpoint. The formulated Theorem expresses explicitly the form of minimized functional and gives the sufficient conditions that allow using the linear feedback control for nonlinear system. The numerical simulations for the Rössler system and the Duffing oscillator are provided to show the effectiveness of this method. Copyright © 2005 by ASME.en
dc.description.affiliationDepartamento de Física, Estatística e Matemática Universidade Regional do Noroeste do Estado do Rio Grande do Sul, C.P. 560, 98700-000, ljui, RS
dc.description.affiliationDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, C.P. 178, 13500-230, Rio Claro, SP
dc.description.affiliationUnespDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, C.P. 178, 13500-230, Rio Claro, SP
dc.format.extent867-873
dc.identifierhttp://dx.doi.org/10.1115/DETC2005-84998
dc.identifier.citationProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 6 B, p. 867-873.
dc.identifier.doi10.1115/DETC2005-84998
dc.identifier.scopus2-s2.0-33244461989
dc.identifier.urihttp://hdl.handle.net/11449/68552
dc.language.isoeng
dc.relation.ispartofProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectChaos theory
dc.subjectComputer simulation
dc.subjectDynamic programming
dc.subjectFeedback control
dc.subjectHamiltonians
dc.subjectNonlinear control systems
dc.subjectOptimal control systems
dc.subjectOscillations
dc.subjectDuffing oscillator
dc.subjectHamilton Jacobi Bellman equation
dc.subjectOptimal control theory
dc.subjectRössler system
dc.subjectLinear control systems
dc.titleOptimal linear and nonlinear control design for chaotic systemsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttps://www.asme.org/shop/journals/administration/permissions
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentEstatística, Matemática Aplicada e Computação - IGCEpt

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Rio Claro - IGCE - Instituto de Geociências e Ciências Exatas