An Optimal Linear Control Design for Nonlinear Systems

Detalhes bibliográficos
Autor(a) principal: Rafikov, Marat
Data de Publicação: 2008
Outros Autores: Balthazar, José Manoel [UNESP], Tusset, Angelo Marcelo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S1678-58782008000400002
http://hdl.handle.net/11449/24936
Resumo: This paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. 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 the Duffing oscillator and the nonlinear automotive active suspension system are provided to show the effectiveness of this method.
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spelling An Optimal Linear Control Design for Nonlinear Systemsoptimal controlnonlinear systemduffing oscillatoractive suspension systemchaotic attractorThis paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. 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 the Duffing oscillator and the nonlinear automotive active suspension system are provided to show the effectiveness of this method.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)UFABC, Dep Fis Estatist & Matemat, BR-98700000 Ijui, RS, BrazilUNESP, Dep Estatist Matemat Apli & Comp, BR-13500230 Rio Claro, SP, BrazilUniv Reg Noroeste Estado Rio Grande do Sul, Dep Fis Estatist & Matemat, BR-98700000 Ijui, RS, BrazilUnC, Dept Ciência Comp, BR-89460000 Canoinhas, SC, BrazilUNESP, Dep Estatist Matemat Apli & Comp, BR-13500230 Rio Claro, SP, BrazilAbcm Brazilian Soc Mechanical Sciences & EngineeringUniversidade Federal do ABC (UFABC)Universidade Estadual Paulista (Unesp)Universidade Regional do Noroeste do Estado do Rio Grande do Sul (Unijuí)Universidade do Contestado (UnC)Rafikov, MaratBalthazar, José Manoel [UNESP]Tusset, Angelo Marcelo2013-09-30T18:50:33Z2014-05-20T14:16:23Z2013-09-30T18:50:33Z2014-05-20T14:16:23Z2008-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article279-284http://dx.doi.org/10.1590/S1678-58782008000400002Journal of The Brazilian Society of Mechanical Sciences and Engineering. Rio de Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 30, n. 4, p. 279-284, 2008.1678-5878http://hdl.handle.net/11449/2493610.1590/S1678-58782008000400002S1678-58782008000400002WOS:000265311000002S1678-58782008000400002.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciences and Engineering1.6270,362info:eu-repo/semantics/openAccess2021-10-23T17:09:36Zoai:repositorio.unesp.br:11449/24936Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T17:09:36Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv An Optimal Linear Control Design for Nonlinear Systems
title An Optimal Linear Control Design for Nonlinear Systems
spellingShingle An Optimal Linear Control Design for Nonlinear Systems
Rafikov, Marat
optimal control
nonlinear system
duffing oscillator
active suspension system
chaotic attractor
title_short An Optimal Linear Control Design for Nonlinear Systems
title_full An Optimal Linear Control Design for Nonlinear Systems
title_fullStr An Optimal Linear Control Design for Nonlinear Systems
title_full_unstemmed An Optimal Linear Control Design for Nonlinear Systems
title_sort An Optimal Linear Control Design for Nonlinear Systems
author Rafikov, Marat
author_facet Rafikov, Marat
Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
author_role author
author2 Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal do ABC (UFABC)
Universidade Estadual Paulista (Unesp)
Universidade Regional do Noroeste do Estado do Rio Grande do Sul (Unijuí)
Universidade do Contestado (UnC)
dc.contributor.author.fl_str_mv Rafikov, Marat
Balthazar, José Manoel [UNESP]
Tusset, Angelo Marcelo
dc.subject.por.fl_str_mv optimal control
nonlinear system
duffing oscillator
active suspension system
chaotic attractor
topic optimal control
nonlinear system
duffing oscillator
active suspension system
chaotic attractor
description This paper studies the linear feedback control strategies for nonlinear systems. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the solution of the Hamilton-Jacobi-Bellman equation thus guaranteeing both stability and optimality. 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 the Duffing oscillator and the nonlinear automotive active suspension system are provided to show the effectiveness of this method.
publishDate 2008
dc.date.none.fl_str_mv 2008-10-01
2013-09-30T18:50:33Z
2013-09-30T18:50:33Z
2014-05-20T14:16:23Z
2014-05-20T14:16:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/S1678-58782008000400002
Journal of The Brazilian Society of Mechanical Sciences and Engineering. Rio de Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 30, n. 4, p. 279-284, 2008.
1678-5878
http://hdl.handle.net/11449/24936
10.1590/S1678-58782008000400002
S1678-58782008000400002
WOS:000265311000002
S1678-58782008000400002.pdf
url http://dx.doi.org/10.1590/S1678-58782008000400002
http://hdl.handle.net/11449/24936
identifier_str_mv Journal of The Brazilian Society of Mechanical Sciences and Engineering. Rio de Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 30, n. 4, p. 279-284, 2008.
1678-5878
10.1590/S1678-58782008000400002
S1678-58782008000400002
WOS:000265311000002
S1678-58782008000400002.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of the Brazilian Society of Mechanical Sciences and Engineering
1.627
0,362
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 279-284
dc.publisher.none.fl_str_mv Abcm Brazilian Soc Mechanical Sciences & Engineering
publisher.none.fl_str_mv Abcm Brazilian Soc Mechanical Sciences & Engineering
dc.source.none.fl_str_mv Web of Science
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_ 1803649897603268608

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