Control design applied to a non-ideal structural system with behavior chaotic

Detalhes bibliográficos
Autor(a) principal: Chavarette, Fábio Roberto [UNESP]
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12732/ijpam.v86i3.3
http://hdl.handle.net/11449/76247
Resumo: In this paper we study the behavior of a structure vulnerable to excessive vibrations caused by an non-ideal power source. To perform this study, the mathematical model is proposed, derive the equations of motion for a simple plane frame excited by an unbalanced rotating machine with limited power (non-ideal motor). The non-linear and non-ideal dynamics in system is demonstrated with a chaotic behavior. We use a State-Dependent Riccati Equation Control technique for regulate the chaotic behavior, in order to obtain a periodic orbit small and to decrease its amplitude. The simulation results show the identification by State-Dependent Riccati Equation Control is very effective. © 2013 Academic Publications, Ltd.
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spelling Control design applied to a non-ideal structural system with behavior chaoticChaos controlNonideal systemState-dependent Riccati equation controlIn this paper we study the behavior of a structure vulnerable to excessive vibrations caused by an non-ideal power source. To perform this study, the mathematical model is proposed, derive the equations of motion for a simple plane frame excited by an unbalanced rotating machine with limited power (non-ideal motor). The non-linear and non-ideal dynamics in system is demonstrated with a chaotic behavior. We use a State-Dependent Riccati Equation Control technique for regulate the chaotic behavior, in order to obtain a periodic orbit small and to decrease its amplitude. The simulation results show the identification by State-Dependent Riccati Equation Control is very effective. © 2013 Academic Publications, Ltd.Faculty of Engineering of Ilha Solteira Universidade Estadual Paulista (UNESP) Departament of Mathematics, Avenida Brasil, 56, 15385-000, Ilha Solteira, SPFaculty of Engineering of Ilha Solteira Universidade Estadual Paulista (UNESP) Departament of Mathematics, Avenida Brasil, 56, 15385-000, Ilha Solteira, SPUniversidade Estadual Paulista (Unesp)Chavarette, Fábio Roberto [UNESP]2014-05-27T11:30:08Z2014-05-27T11:30:08Z2013-08-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article487-500http://dx.doi.org/10.12732/ijpam.v86i3.3International Journal of Pure and Applied Mathematics, v. 86, n. 3, p. 487-500, 2013.1311-80801314-3395http://hdl.handle.net/11449/7624710.12732/ijpam.v86i3.32-s2.0-84881108437Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2021-10-22T18:06:01Zoai:repositorio.unesp.br:11449/76247Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T18:06:01Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Control design applied to a non-ideal structural system with behavior chaotic
title Control design applied to a non-ideal structural system with behavior chaotic
spellingShingle Control design applied to a non-ideal structural system with behavior chaotic
Chavarette, Fábio Roberto [UNESP]
Chaos control
Nonideal system
State-dependent Riccati equation control
title_short Control design applied to a non-ideal structural system with behavior chaotic
title_full Control design applied to a non-ideal structural system with behavior chaotic
title_fullStr Control design applied to a non-ideal structural system with behavior chaotic
title_full_unstemmed Control design applied to a non-ideal structural system with behavior chaotic
title_sort Control design applied to a non-ideal structural system with behavior chaotic
author Chavarette, Fábio Roberto [UNESP]
author_facet Chavarette, Fábio Roberto [UNESP]
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Chavarette, Fábio Roberto [UNESP]
dc.subject.por.fl_str_mv Chaos control
Nonideal system
State-dependent Riccati equation control
topic Chaos control
Nonideal system
State-dependent Riccati equation control
description In this paper we study the behavior of a structure vulnerable to excessive vibrations caused by an non-ideal power source. To perform this study, the mathematical model is proposed, derive the equations of motion for a simple plane frame excited by an unbalanced rotating machine with limited power (non-ideal motor). The non-linear and non-ideal dynamics in system is demonstrated with a chaotic behavior. We use a State-Dependent Riccati Equation Control technique for regulate the chaotic behavior, in order to obtain a periodic orbit small and to decrease its amplitude. The simulation results show the identification by State-Dependent Riccati Equation Control is very effective. © 2013 Academic Publications, Ltd.
publishDate 2013
dc.date.none.fl_str_mv 2013-08-09
2014-05-27T11:30:08Z
2014-05-27T11:30:08Z
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/10.12732/ijpam.v86i3.3
International Journal of Pure and Applied Mathematics, v. 86, n. 3, p. 487-500, 2013.
1311-8080
1314-3395
http://hdl.handle.net/11449/76247
10.12732/ijpam.v86i3.3
2-s2.0-84881108437
url http://dx.doi.org/10.12732/ijpam.v86i3.3
http://hdl.handle.net/11449/76247
identifier_str_mv International Journal of Pure and Applied Mathematics, v. 86, n. 3, p. 487-500, 2013.
1311-8080
1314-3395
10.12732/ijpam.v86i3.3
2-s2.0-84881108437
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Pure and Applied Mathematics
0,139
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 487-500
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_ 1803650382700740608

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