Optimal linear and nonlinear control design for chaotic systems
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | |
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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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:29462024-08-05T19:16:37.052049Repositório 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_ |
1808129045337997312 |