On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.4028/www.scientific.net/AMM.138-139.50 http://hdl.handle.net/11449/10524 |
Resumo: | In this work, we use a nonlinear control based on Optimal Linear Control. We used as mathematical model a Duffing equation to model a supporting structure for an unbalanced rotating machine with limited power (non-ideal motor). Numerical simulations are performed for a set control parameter (depending on the voltage of the motor, that is, in the static and dynamic characteristic of the motor) The interaction of the non-ideal excitation with the structure may lead to the occurrence of interesting phenomena during the forward passage through the several resonance states of the system. Chaotic behavior is obtained for values of the parameters. Then, the proposed control strategy is applied in order to regulate the chaotic behavior, in order to obtain a periodic orbit and to decrease its amplitude. Both methodologies were used in complete agreement between them. The purpose of the paper is to give suggestions and recommendations to designers and engineers on how to drive this kind of system through resonance. |
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Repositório Institucional da UNESP |
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On an Optimal Linear Control of a Chaotic Non-Ideal Duffing SystemChaosOptimal Linear ControlNon-Ideal Duffing SystemIn this work, we use a nonlinear control based on Optimal Linear Control. We used as mathematical model a Duffing equation to model a supporting structure for an unbalanced rotating machine with limited power (non-ideal motor). Numerical simulations are performed for a set control parameter (depending on the voltage of the motor, that is, in the static and dynamic characteristic of the motor) The interaction of the non-ideal excitation with the structure may lead to the occurrence of interesting phenomena during the forward passage through the several resonance states of the system. Chaotic behavior is obtained for values of the parameters. Then, the proposed control strategy is applied in order to regulate the chaotic behavior, in order to obtain a periodic orbit and to decrease its amplitude. Both methodologies were used in complete agreement between them. The purpose of the paper is to give suggestions and recommendations to designers and engineers on how to drive this kind of system through resonance.Univ Estadual Paulista, UNESP, Fac Engn, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilUniv Estadual Paulista, UNESP, Fac Engn, Dept Math, BR-15385000 Ilha Solteira, SP, BrazilTrans Tech Publications LtdUniversidade Estadual Paulista (Unesp)Chavarette, Fábio Roberto [UNESP]2014-05-20T13:30:54Z2014-05-20T13:30:54Z2012-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject50-55http://dx.doi.org/10.4028/www.scientific.net/AMM.138-139.50Applied Mechanics and Mechanical Engineering Ii, Pts 1 and 2. Stafa-zurich: Trans Tech Publications Ltd, v. 138-139, p. 50-55, 2012.1660-9336http://hdl.handle.net/11449/1052410.4028/www.scientific.net/AMM.138-139.50WOS:000307193900009Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Mechanics and Mechanical Engineering Ii, Pts 1 and 20,117info:eu-repo/semantics/openAccess2024-07-10T15:42:07Zoai:repositorio.unesp.br:11449/10524Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:36:39.888926Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
title |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
spellingShingle |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System Chavarette, Fábio Roberto [UNESP] Chaos Optimal Linear Control Non-Ideal Duffing System |
title_short |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
title_full |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
title_fullStr |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
title_full_unstemmed |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
title_sort |
On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System |
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 Optimal Linear Control Non-Ideal Duffing System |
topic |
Chaos Optimal Linear Control Non-Ideal Duffing System |
description |
In this work, we use a nonlinear control based on Optimal Linear Control. We used as mathematical model a Duffing equation to model a supporting structure for an unbalanced rotating machine with limited power (non-ideal motor). Numerical simulations are performed for a set control parameter (depending on the voltage of the motor, that is, in the static and dynamic characteristic of the motor) The interaction of the non-ideal excitation with the structure may lead to the occurrence of interesting phenomena during the forward passage through the several resonance states of the system. Chaotic behavior is obtained for values of the parameters. Then, the proposed control strategy is applied in order to regulate the chaotic behavior, in order to obtain a periodic orbit and to decrease its amplitude. Both methodologies were used in complete agreement between them. The purpose of the paper is to give suggestions and recommendations to designers and engineers on how to drive this kind of system through resonance. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-01-01 2014-05-20T13:30:54Z 2014-05-20T13:30:54Z |
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/10.4028/www.scientific.net/AMM.138-139.50 Applied Mechanics and Mechanical Engineering Ii, Pts 1 and 2. Stafa-zurich: Trans Tech Publications Ltd, v. 138-139, p. 50-55, 2012. 1660-9336 http://hdl.handle.net/11449/10524 10.4028/www.scientific.net/AMM.138-139.50 WOS:000307193900009 |
url |
http://dx.doi.org/10.4028/www.scientific.net/AMM.138-139.50 http://hdl.handle.net/11449/10524 |
identifier_str_mv |
Applied Mechanics and Mechanical Engineering Ii, Pts 1 and 2. Stafa-zurich: Trans Tech Publications Ltd, v. 138-139, p. 50-55, 2012. 1660-9336 10.4028/www.scientific.net/AMM.138-139.50 WOS:000307193900009 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Applied Mechanics and Mechanical Engineering Ii, Pts 1 and 2 0,117 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
50-55 |
dc.publisher.none.fl_str_mv |
Trans Tech Publications Ltd |
publisher.none.fl_str_mv |
Trans Tech Publications Ltd |
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_ |
1808129226097819648 |