State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body
Autor(a) principal: | |
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Data de Publicação: | 2011 |
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/DETC2011-47406 http://hdl.handle.net/11449/72868 |
Resumo: | Here, a simplified dynamical model of a magnetically levitated body is considered. The origin of an inertial Cartesian reference frame is set at the pivot point of the pendulum on the levitated body in its static equilibrium state (ie, the gap between the magnet on the base and the magnet on the body, in this state). The governing equations of motion has been derived and the characteristic feature of the strategy is the exploitation of the nonlinear effect of the inertial force associated, with the motion of a pendulum-type vibration absorber driven, by an appropriate control torque [4]. In the present paper, we analyzed the nonlinear dynamics of problem, discussed the energy transfer between the main system and the pendulum in time, and developed State Dependent Riccati Equation (SDRE) control design to reducing the unstable oscillatory movement of the magnetically levitated body to a stable fixed point. The simulations results showed the effectiveness of the (SDRE) control design. Copyright © 2011 by ASME. |
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State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated bodyCartesiansControl designControl methodsControl torqueDynamical modelGoverning equations of motionInertial forcesNonlinear effectOscillatory movementsParametric resonancePivot pointReference frameStable fixed pointsState-dependent Riccati equationStatic equilibrium stateVibration absorberControlDesignDynamicsEnergy transferEquations of motionMagnetsPendulumsHere, a simplified dynamical model of a magnetically levitated body is considered. The origin of an inertial Cartesian reference frame is set at the pivot point of the pendulum on the levitated body in its static equilibrium state (ie, the gap between the magnet on the base and the magnet on the body, in this state). The governing equations of motion has been derived and the characteristic feature of the strategy is the exploitation of the nonlinear effect of the inertial force associated, with the motion of a pendulum-type vibration absorber driven, by an appropriate control torque [4]. In the present paper, we analyzed the nonlinear dynamics of problem, discussed the energy transfer between the main system and the pendulum in time, and developed State Dependent Riccati Equation (SDRE) control design to reducing the unstable oscillatory movement of the magnetically levitated body to a stable fixed point. The simulations results showed the effectiveness of the (SDRE) control design. Copyright © 2011 by ASME.Faculty of Engineering Universidade Estadual Paulista (UNESP) Department of Mathematics, Avenida Brasil, 56, 15385-000, Ilha Solteira, SPDepartment of Statistics, Applied Mathematics and Computation Universidade Estadual Paulista (UNESP), PO Box 178, 13500-230, Rio Claro, SPDepartment of Exact Sciences Universidade Estadual Paulista (UNESP), Via de Acesso Prof.Paulo Donato Castellane s/n, 14884-900 Jaboticabal - SPFaculty of Engineering Universidade Estadual Paulista (UNESP) Department of Mathematics, Avenida Brasil, 56, 15385-000, Ilha Solteira, SPDepartment of Statistics, Applied Mathematics and Computation Universidade Estadual Paulista (UNESP), PO Box 178, 13500-230, Rio Claro, SPDepartment of Exact Sciences Universidade Estadual Paulista (UNESP), Via de Acesso Prof.Paulo Donato Castellane s/n, 14884-900 Jaboticabal - SPUniversidade Estadual Paulista (Unesp)Chavarette, Fábio Roberto [UNESP]Balthazar, José Manoel [UNESP]Dos Reis, Célia Aparecida [UNESP]Peruzzi, Nelson José [UNESP]2014-05-27T11:26:14Z2014-05-27T11:26:14Z2011-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1067-1076http://dx.doi.org/10.1115/DETC2011-47406Proceedings of the ASME Design Engineering Technical Conference, v. 4, n. PARTS A AND B, p. 1067-1076, 2011.http://hdl.handle.net/11449/7286810.1115/DETC2011-474062-s2.0-848635804246152914891371726Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the ASME Design Engineering Technical Conferenceinfo:eu-repo/semantics/openAccess2024-07-10T15:42:06Zoai:repositorio.unesp.br:11449/72868Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:13:39.483656Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
title |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
spellingShingle |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body Chavarette, Fábio Roberto [UNESP] Cartesians Control design Control methods Control torque Dynamical model Governing equations of motion Inertial forces Nonlinear effect Oscillatory movements Parametric resonance Pivot point Reference frame Stable fixed points State-dependent Riccati equation Static equilibrium state Vibration absorber Control Design Dynamics Energy transfer Equations of motion Magnets Pendulums |
title_short |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
title_full |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
title_fullStr |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
title_full_unstemmed |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
title_sort |
State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body |
author |
Chavarette, Fábio Roberto [UNESP] |
author_facet |
Chavarette, Fábio Roberto [UNESP] Balthazar, José Manoel [UNESP] Dos Reis, Célia Aparecida [UNESP] Peruzzi, Nelson José [UNESP] |
author_role |
author |
author2 |
Balthazar, José Manoel [UNESP] Dos Reis, Célia Aparecida [UNESP] Peruzzi, Nelson José [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Chavarette, Fábio Roberto [UNESP] Balthazar, José Manoel [UNESP] Dos Reis, Célia Aparecida [UNESP] Peruzzi, Nelson José [UNESP] |
dc.subject.por.fl_str_mv |
Cartesians Control design Control methods Control torque Dynamical model Governing equations of motion Inertial forces Nonlinear effect Oscillatory movements Parametric resonance Pivot point Reference frame Stable fixed points State-dependent Riccati equation Static equilibrium state Vibration absorber Control Design Dynamics Energy transfer Equations of motion Magnets Pendulums |
topic |
Cartesians Control design Control methods Control torque Dynamical model Governing equations of motion Inertial forces Nonlinear effect Oscillatory movements Parametric resonance Pivot point Reference frame Stable fixed points State-dependent Riccati equation Static equilibrium state Vibration absorber Control Design Dynamics Energy transfer Equations of motion Magnets Pendulums |
description |
Here, a simplified dynamical model of a magnetically levitated body is considered. The origin of an inertial Cartesian reference frame is set at the pivot point of the pendulum on the levitated body in its static equilibrium state (ie, the gap between the magnet on the base and the magnet on the body, in this state). The governing equations of motion has been derived and the characteristic feature of the strategy is the exploitation of the nonlinear effect of the inertial force associated, with the motion of a pendulum-type vibration absorber driven, by an appropriate control torque [4]. In the present paper, we analyzed the nonlinear dynamics of problem, discussed the energy transfer between the main system and the pendulum in time, and developed State Dependent Riccati Equation (SDRE) control design to reducing the unstable oscillatory movement of the magnetically levitated body to a stable fixed point. The simulations results showed the effectiveness of the (SDRE) control design. Copyright © 2011 by ASME. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-12-01 2014-05-27T11:26:14Z 2014-05-27T11:26:14Z |
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/DETC2011-47406 Proceedings of the ASME Design Engineering Technical Conference, v. 4, n. PARTS A AND B, p. 1067-1076, 2011. http://hdl.handle.net/11449/72868 10.1115/DETC2011-47406 2-s2.0-84863580424 6152914891371726 |
url |
http://dx.doi.org/10.1115/DETC2011-47406 http://hdl.handle.net/11449/72868 |
identifier_str_mv |
Proceedings of the ASME Design Engineering Technical Conference, v. 4, n. PARTS A AND B, p. 1067-1076, 2011. 10.1115/DETC2011-47406 2-s2.0-84863580424 6152914891371726 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings of the ASME Design Engineering Technical Conference |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1067-1076 |
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 |
|
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1808129037428588544 |