Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems

Detalhes bibliográficos
Autor(a) principal: Travassos, Marco A [UNESP]
Data de Publicação: 2022
Outros Autores: Cardim, Rodrigo [UNESP], Teixeira, Marcelo CM [UNESP], Assunção, Edvaldo [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1177/10775463221118033
http://hdl.handle.net/11449/249219
Resumo: This manuscript approaches the Takagi-Sugeno fuzzy control technique, the Lyapunov-Floquet transformation, and their applications for controlling linear time-varying systems. Each of the techniques is applied in the control of a linear time-varying periodic system in order to compare their effectiveness. A hybrid control method involving the Takagi-Sugeno fuzzy control and the Lyapunov-Floquet transformation is proposed. In this method, the stability of the closed-loop system is mathematically guaranteed. In addition, this new procedure can reduce the conservatism of time-varying periodic systems with uncertainties in the input matrix. Finally, an application of the hybrid method is presented in a time-varying periodic system considering a constraint on input and uncertainties on the input matrix.
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spelling Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systemsfuzzy controllinear matrix inequalitiesLyapunov-Floquet transformationparallel distributed compensationtime-varying periodic systemThis manuscript approaches the Takagi-Sugeno fuzzy control technique, the Lyapunov-Floquet transformation, and their applications for controlling linear time-varying systems. Each of the techniques is applied in the control of a linear time-varying periodic system in order to compare their effectiveness. A hybrid control method involving the Takagi-Sugeno fuzzy control and the Lyapunov-Floquet transformation is proposed. In this method, the stability of the closed-loop system is mathematically guaranteed. In addition, this new procedure can reduce the conservatism of time-varying periodic systems with uncertainties in the input matrix. Finally, an application of the hybrid method is presented in a time-varying periodic system considering a constraint on input and uncertainties on the input matrix.Department of Electrical Engineering São Paulo State UniversityDepartment of Electrical Engineering São Paulo State UniversityUniversidade Estadual Paulista (UNESP)Travassos, Marco A [UNESP]Cardim, Rodrigo [UNESP]Teixeira, Marcelo CM [UNESP]Assunção, Edvaldo [UNESP]2023-07-29T14:13:36Z2023-07-29T14:13:36Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1177/10775463221118033JVC/Journal of Vibration and Control.1741-29861077-5463http://hdl.handle.net/11449/24921910.1177/107754632211180332-s2.0-85139078477Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJVC/Journal of Vibration and Controlinfo:eu-repo/semantics/openAccess2024-07-04T19:06:02Zoai:repositorio.unesp.br:11449/249219Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:45:33.268817Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
title Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
spellingShingle Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
Travassos, Marco A [UNESP]
fuzzy control
linear matrix inequalities
Lyapunov-Floquet transformation
parallel distributed compensation
time-varying periodic system
title_short Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
title_full Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
title_fullStr Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
title_full_unstemmed Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
title_sort Relaxed design conditions using Takagi-Sugeno fuzzy models and Lyapunov-Floquet transformation for controlling time-varying periodic systems
author Travassos, Marco A [UNESP]
author_facet Travassos, Marco A [UNESP]
Cardim, Rodrigo [UNESP]
Teixeira, Marcelo CM [UNESP]
Assunção, Edvaldo [UNESP]
author_role author
author2 Cardim, Rodrigo [UNESP]
Teixeira, Marcelo CM [UNESP]
Assunção, Edvaldo [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Travassos, Marco A [UNESP]
Cardim, Rodrigo [UNESP]
Teixeira, Marcelo CM [UNESP]
Assunção, Edvaldo [UNESP]
dc.subject.por.fl_str_mv fuzzy control
linear matrix inequalities
Lyapunov-Floquet transformation
parallel distributed compensation
time-varying periodic system
topic fuzzy control
linear matrix inequalities
Lyapunov-Floquet transformation
parallel distributed compensation
time-varying periodic system
description This manuscript approaches the Takagi-Sugeno fuzzy control technique, the Lyapunov-Floquet transformation, and their applications for controlling linear time-varying systems. Each of the techniques is applied in the control of a linear time-varying periodic system in order to compare their effectiveness. A hybrid control method involving the Takagi-Sugeno fuzzy control and the Lyapunov-Floquet transformation is proposed. In this method, the stability of the closed-loop system is mathematically guaranteed. In addition, this new procedure can reduce the conservatism of time-varying periodic systems with uncertainties in the input matrix. Finally, an application of the hybrid method is presented in a time-varying periodic system considering a constraint on input and uncertainties on the input matrix.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-07-29T14:13:36Z
2023-07-29T14:13:36Z
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/10.1177/10775463221118033
JVC/Journal of Vibration and Control.
1741-2986
1077-5463
http://hdl.handle.net/11449/249219
10.1177/10775463221118033
2-s2.0-85139078477
url http://dx.doi.org/10.1177/10775463221118033
http://hdl.handle.net/11449/249219
identifier_str_mv JVC/Journal of Vibration and Control.
1741-2986
1077-5463
10.1177/10775463221118033
2-s2.0-85139078477
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv JVC/Journal of Vibration and Control
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1808128557322338304

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