Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , , , , |
Tipo de documento: | Capítulo de livro |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/978-3-030-96603-4_17 http://hdl.handle.net/11449/241755 |
Resumo: | In this paper the dynamics of a double pendulum arm coupled through a magnetic field to a nonlinear RLC based shaker circuit is presented and will be studied numerically. This kind of electromechanical system is often found in robotic systems and has important applications in Engineering Sciences. The double pendulum considered is coupled through a magnetic field to an RLC circuit based on nonlinear shaker. The nonlinear response analysis of the system is done by various techniques, including bifurcation diagrams, phase portraits, power spectral densities, and Lyapunov exponents. Numerical simulations show the existence of chaotic and hyperchaotic behavior for some regions of the parameter space. In order to suppress the chaotic motion, a PID control is proposed and analyzed. Numerical simulations show the effectiveness of the proposed control in suppressing the chaotic motion. |
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Repositório Institucional da UNESP |
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Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal SourceChaos suppressionChaotic behaviorElectromechanical systemHyperchaotic behaviorNon-ideal systemsPID controlIn this paper the dynamics of a double pendulum arm coupled through a magnetic field to a nonlinear RLC based shaker circuit is presented and will be studied numerically. This kind of electromechanical system is often found in robotic systems and has important applications in Engineering Sciences. The double pendulum considered is coupled through a magnetic field to an RLC circuit based on nonlinear shaker. The nonlinear response analysis of the system is done by various techniques, including bifurcation diagrams, phase portraits, power spectral densities, and Lyapunov exponents. Numerical simulations show the existence of chaotic and hyperchaotic behavior for some regions of the parameter space. In order to suppress the chaotic motion, a PID control is proposed and analyzed. Numerical simulations show the effectiveness of the proposed control in suppressing the chaotic motion.Federal University of TechnologySao Paulo State UniversityFederal University of Grande DouradosSao Paulo State UniversityFederal University of TechnologyUniversidade Estadual Paulista (UNESP)Federal University of Grande DouradosTusset, A. M.Filho, P. L. PaulaPiccirillo, V.Lenzi, G. G.Balthazar, Jose Manoel [UNESP]Oliveira, C.Varanis, M.2023-03-01T23:40:57Z2023-03-01T23:40:57Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart343-356http://dx.doi.org/10.1007/978-3-030-96603-4_17Mechanisms and Machine Science, v. 116, p. 343-356.2211-09922211-0984http://hdl.handle.net/11449/24175510.1007/978-3-030-96603-4_172-s2.0-85128588867Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMechanisms and Machine Scienceinfo:eu-repo/semantics/openAccess2023-03-01T23:40:57Zoai:repositorio.unesp.br:11449/241755Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:27:42.997362Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
title |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
spellingShingle |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source Tusset, A. M. Chaos suppression Chaotic behavior Electromechanical system Hyperchaotic behavior Non-ideal systems PID control |
title_short |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
title_full |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
title_fullStr |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
title_full_unstemmed |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
title_sort |
Dynamic Analysis and PID Control of a Double Pendulum Arm Excited by a Nonideal Source |
author |
Tusset, A. M. |
author_facet |
Tusset, A. M. Filho, P. L. Paula Piccirillo, V. Lenzi, G. G. Balthazar, Jose Manoel [UNESP] Oliveira, C. Varanis, M. |
author_role |
author |
author2 |
Filho, P. L. Paula Piccirillo, V. Lenzi, G. G. Balthazar, Jose Manoel [UNESP] Oliveira, C. Varanis, M. |
author2_role |
author author author author author author |
dc.contributor.none.fl_str_mv |
Federal University of Technology Universidade Estadual Paulista (UNESP) Federal University of Grande Dourados |
dc.contributor.author.fl_str_mv |
Tusset, A. M. Filho, P. L. Paula Piccirillo, V. Lenzi, G. G. Balthazar, Jose Manoel [UNESP] Oliveira, C. Varanis, M. |
dc.subject.por.fl_str_mv |
Chaos suppression Chaotic behavior Electromechanical system Hyperchaotic behavior Non-ideal systems PID control |
topic |
Chaos suppression Chaotic behavior Electromechanical system Hyperchaotic behavior Non-ideal systems PID control |
description |
In this paper the dynamics of a double pendulum arm coupled through a magnetic field to a nonlinear RLC based shaker circuit is presented and will be studied numerically. This kind of electromechanical system is often found in robotic systems and has important applications in Engineering Sciences. The double pendulum considered is coupled through a magnetic field to an RLC circuit based on nonlinear shaker. The nonlinear response analysis of the system is done by various techniques, including bifurcation diagrams, phase portraits, power spectral densities, and Lyapunov exponents. Numerical simulations show the existence of chaotic and hyperchaotic behavior for some regions of the parameter space. In order to suppress the chaotic motion, a PID control is proposed and analyzed. Numerical simulations show the effectiveness of the proposed control in suppressing the chaotic motion. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-01-01 2023-03-01T23:40:57Z 2023-03-01T23:40:57Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/bookPart |
format |
bookPart |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-3-030-96603-4_17 Mechanisms and Machine Science, v. 116, p. 343-356. 2211-0992 2211-0984 http://hdl.handle.net/11449/241755 10.1007/978-3-030-96603-4_17 2-s2.0-85128588867 |
url |
http://dx.doi.org/10.1007/978-3-030-96603-4_17 http://hdl.handle.net/11449/241755 |
identifier_str_mv |
Mechanisms and Machine Science, v. 116, p. 343-356. 2211-0992 2211-0984 10.1007/978-3-030-96603-4_17 2-s2.0-85128588867 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mechanisms and Machine Science |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
343-356 |
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_ |
1808128514755395584 |