Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure

Detalhes bibliográficos
Autor(a) principal: Bueno, Atila M. [UNESP]
Data de Publicação: 2022
Outros Autores: Daltin, Daniel C. [UNESP], Serni, Paulo J. A. [UNESP], Balthazar, Jose M. [UNESP], Tusset, Angelo M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1115/1.4054570
http://hdl.handle.net/11449/237800
Resumo: The control of slewing motion flexible structures is important to a number of systems found in engineering and physical sciences applications, such as aerospace, automotive, robotics, and atomic force microscopy. In this kind of system, the controller must provide a stable and well-damped behavior for the flexible structure vibrations, with admissible control signal amplitudes. Recently, many works have used fractional-order derivatives to model complex and nonlinear dynamical behavior present in the mentioned systems. In order to perform digital computer-based control of fractional-order dynamical systems, a time discretization of the equations is necessary. In many cases, the Grunwald-Letnikov method is used, resulting in an implicit integration method. In this work, a nonlinear slewing motion flexible structure is modeled considering a fractional-order viscous damping in the flexible beam motion. To obtain an explicit integration method, based on the Grunwald-Letnikov definition, the discretization of the dynamical equations is performed considering the existence of sample and hold circuits. In addition, real-time suboptimal infinite horizon tracking control system strategies, namely, the linear quadratic tracking and the state-dependent Riccati equation tracking controller, are designed and implemented to control the fractional-order slewing motion flexible system. The general behavior and performance of the control systems are tested for parameter uncertainties related to the order of the fractional derivatives.
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spelling Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible StructureThe control of slewing motion flexible structures is important to a number of systems found in engineering and physical sciences applications, such as aerospace, automotive, robotics, and atomic force microscopy. In this kind of system, the controller must provide a stable and well-damped behavior for the flexible structure vibrations, with admissible control signal amplitudes. Recently, many works have used fractional-order derivatives to model complex and nonlinear dynamical behavior present in the mentioned systems. In order to perform digital computer-based control of fractional-order dynamical systems, a time discretization of the equations is necessary. In many cases, the Grunwald-Letnikov method is used, resulting in an implicit integration method. In this work, a nonlinear slewing motion flexible structure is modeled considering a fractional-order viscous damping in the flexible beam motion. To obtain an explicit integration method, based on the Grunwald-Letnikov definition, the discretization of the dynamical equations is performed considering the existence of sample and hold circuits. In addition, real-time suboptimal infinite horizon tracking control system strategies, namely, the linear quadratic tracking and the state-dependent Riccati equation tracking controller, are designed and implemented to control the fractional-order slewing motion flexible system. The general behavior and performance of the control systems are tested for parameter uncertainties related to the order of the fractional derivatives.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Sao Paulo State Univ UNESP, Inst Sci & Technol, Dept Automat & Control, Av Tres Marco 511, BR-18087180 Sorocaba, SP, BrazilFed Technol Univ Parana UTFPR, Dept Elect Engn, Av Monteiro Lobato,Km 4 Sn, BR-84015210 Ponta Grossa, PR, BrazilFed Technol Univ Parana UTFPR, Av Monteiro Lobato,Km 4 Sn, BR-84015210 Ponta Grossa, PR, BrazilSao Paulo State Univ UNESP, Inst Sci & Technol, Dept Automat & Control, Av Tres Marco 511, BR-18087180 Sorocaba, SP, BrazilAsmeUniversidade Estadual Paulista (UNESP)Fed Technol Univ Parana (UTFPR)Bueno, Atila M. [UNESP]Daltin, Daniel C. [UNESP]Serni, Paulo J. A. [UNESP]Balthazar, Jose M. [UNESP]Tusset, Angelo M.2022-11-30T13:45:19Z2022-11-30T13:45:19Z2022-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article14http://dx.doi.org/10.1115/1.4054570Journal Of Computational And Nonlinear Dynamics. New York: Asme, v. 17, n. 9, 14 p., 2022.1555-1423http://hdl.handle.net/11449/23780010.1115/1.4054570WOS:000834888200005Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Computational And Nonlinear Dynamicsinfo:eu-repo/semantics/openAccess2022-11-30T13:45:19Zoai:repositorio.unesp.br:11449/237800Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:58:08.473404Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
title Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
spellingShingle Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
Bueno, Atila M. [UNESP]
title_short Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
title_full Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
title_fullStr Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
title_full_unstemmed Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
title_sort Suboptimal State Tracking Control Applied to a Nonlinear Fractional-Order Slewing Motion Flexible Structure
author Bueno, Atila M. [UNESP]
author_facet Bueno, Atila M. [UNESP]
Daltin, Daniel C. [UNESP]
Serni, Paulo J. A. [UNESP]
Balthazar, Jose M. [UNESP]
Tusset, Angelo M.
author_role author
author2 Daltin, Daniel C. [UNESP]
Serni, Paulo J. A. [UNESP]
Balthazar, Jose M. [UNESP]
Tusset, Angelo M.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Fed Technol Univ Parana (UTFPR)
dc.contributor.author.fl_str_mv Bueno, Atila M. [UNESP]
Daltin, Daniel C. [UNESP]
Serni, Paulo J. A. [UNESP]
Balthazar, Jose M. [UNESP]
Tusset, Angelo M.
description The control of slewing motion flexible structures is important to a number of systems found in engineering and physical sciences applications, such as aerospace, automotive, robotics, and atomic force microscopy. In this kind of system, the controller must provide a stable and well-damped behavior for the flexible structure vibrations, with admissible control signal amplitudes. Recently, many works have used fractional-order derivatives to model complex and nonlinear dynamical behavior present in the mentioned systems. In order to perform digital computer-based control of fractional-order dynamical systems, a time discretization of the equations is necessary. In many cases, the Grunwald-Letnikov method is used, resulting in an implicit integration method. In this work, a nonlinear slewing motion flexible structure is modeled considering a fractional-order viscous damping in the flexible beam motion. To obtain an explicit integration method, based on the Grunwald-Letnikov definition, the discretization of the dynamical equations is performed considering the existence of sample and hold circuits. In addition, real-time suboptimal infinite horizon tracking control system strategies, namely, the linear quadratic tracking and the state-dependent Riccati equation tracking controller, are designed and implemented to control the fractional-order slewing motion flexible system. The general behavior and performance of the control systems are tested for parameter uncertainties related to the order of the fractional derivatives.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-30T13:45:19Z
2022-11-30T13:45:19Z
2022-09-01
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/10.1115/1.4054570
Journal Of Computational And Nonlinear Dynamics. New York: Asme, v. 17, n. 9, 14 p., 2022.
1555-1423
http://hdl.handle.net/11449/237800
10.1115/1.4054570
WOS:000834888200005
url http://dx.doi.org/10.1115/1.4054570
http://hdl.handle.net/11449/237800
identifier_str_mv Journal Of Computational And Nonlinear Dynamics. New York: Asme, v. 17, n. 9, 14 p., 2022.
1555-1423
10.1115/1.4054570
WOS:000834888200005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Computational And Nonlinear Dynamics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 14
dc.publisher.none.fl_str_mv Asme
publisher.none.fl_str_mv Asme
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
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