Optimal linear and nonlinear control design for chaotic systems

Detalhes bibliográficos
Autor(a) principal: Rafikov, Marat
Data de Publicação: 2005
Outros Autores: Balthazar, José Manoel [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1115/DETC2005-84998
http://hdl.handle.net/11449/68552
Resumo: In 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.
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spelling Optimal linear and nonlinear control design for chaotic systemsChaos theoryComputer simulationDynamic programmingFeedback controlHamiltoniansNonlinear control systemsOptimal control systemsOscillationsDuffing oscillatorHamilton Jacobi Bellman equationOptimal control theoryRössler systemLinear control systemsIn 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.Departamento de Física, Estatística e Matemática Universidade Regional do Noroeste do Estado do Rio Grande do Sul, C.P. 560, 98700-000, ljui, RSDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, C.P. 178, 13500-230, Rio Claro, SPDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, C.P. 178, 13500-230, Rio Claro, SPUniversidade Regional do Noroeste do Estado do Rio Grande do SulUniversidade Estadual Paulista (Unesp)Rafikov, MaratBalthazar, José Manoel [UNESP]2014-05-27T11:21:42Z2014-05-27T11:21:42Z2005-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject867-873http://dx.doi.org/10.1115/DETC2005-84998Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 6 B, p. 867-873.http://hdl.handle.net/11449/6855210.1115/DETC2005-849982-s2.0-33244461989Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005info:eu-repo/semantics/openAccess2021-10-23T21:41:23Zoai:repositorio.unesp.br:11449/68552Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:23Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimal linear and nonlinear control design for chaotic systems
title Optimal linear and nonlinear control design for chaotic systems
spellingShingle Optimal linear and nonlinear control design for chaotic systems
Rafikov, Marat
Chaos theory
Computer simulation
Dynamic programming
Feedback control
Hamiltonians
Nonlinear control systems
Optimal control systems
Oscillations
Duffing oscillator
Hamilton Jacobi Bellman equation
Optimal control theory
Rössler system
Linear control systems
title_short Optimal linear and nonlinear control design for chaotic systems
title_full Optimal linear and nonlinear control design for chaotic systems
title_fullStr Optimal linear and nonlinear control design for chaotic systems
title_full_unstemmed Optimal linear and nonlinear control design for chaotic systems
title_sort Optimal linear and nonlinear control design for chaotic systems
author Rafikov, Marat
author_facet Rafikov, Marat
Balthazar, José Manoel [UNESP]
author_role author
author2 Balthazar, José Manoel [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Regional do Noroeste do Estado do Rio Grande do Sul
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Rafikov, Marat
Balthazar, José Manoel [UNESP]
dc.subject.por.fl_str_mv Chaos theory
Computer simulation
Dynamic programming
Feedback control
Hamiltonians
Nonlinear control systems
Optimal control systems
Oscillations
Duffing oscillator
Hamilton Jacobi Bellman equation
Optimal control theory
Rössler system
Linear control systems
topic Chaos theory
Computer simulation
Dynamic programming
Feedback control
Hamiltonians
Nonlinear control systems
Optimal control systems
Oscillations
Duffing oscillator
Hamilton Jacobi Bellman equation
Optimal control theory
Rössler system
Linear control systems
description In 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.
publishDate 2005
dc.date.none.fl_str_mv 2005-12-01
2014-05-27T11:21:42Z
2014-05-27T11:21:42Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1115/DETC2005-84998
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 6 B, p. 867-873.
http://hdl.handle.net/11449/68552
10.1115/DETC2005-84998
2-s2.0-33244461989
url http://dx.doi.org/10.1115/DETC2005-84998
http://hdl.handle.net/11449/68552
identifier_str_mv Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005, v. 6 B, p. 867-873.
10.1115/DETC2005-84998
2-s2.0-33244461989
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 867-873
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803649873329782784

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