Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems

Detalhes bibliográficos
Autor(a) principal: Elias, Leandro Jose
Data de Publicação: 2022
Outros Autores: Faria, Flavio Andrade, Araujo, R., Magossi, Rafael, Oliveira, Vilma Alves
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1109/TFUZZ.2022.3152836
http://hdl.handle.net/11449/231625
Resumo: In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and that the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation (PDC) design. The main result is given in terms of linear matrix inequalities (LMIs) which guarantees a <i>H</i><sub></sub> attenuation level of for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared to other published results from the literature.
id UNSP_5243dc7f4a7ba4af77dd091fdcc705fe
oai_identifier_str oai:repositorio.unesp.br:11449/231625
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systemsControl systemsfull rank factorizationFuzzy systemsNonlinear systemsnonlinear systemsnorm bounded uncertaintiesReal-time systemsSwitched controllerswitched fuzzy Lyapunov-like functionsSwitchesSymmetric matricesUncertaintyIn this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and that the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation (PDC) design. The main result is given in terms of linear matrix inequalities (LMIs) which guarantees a <i>H</i><sub></sub> attenuation level of for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared to other published results from the literature.Matemtica e Educao, Instituto Federal de Educao Cincia e Tecnologia de So Paulo, 119519 Araraquara, So Paulo, Brazil, 14.804-29Mathematics, UNESP, 28108 Ilha Solteira, SP, Brazil, 15385-000Departamento de Engenharia Eletrica e de Computacao, Universidade de Sao Paulo Escola de Engenharia de Sao Carlos, 67817 Sao Carlos, Brazil, 13566-590Engenharia Eltrica, CEFET/RJ, 74351 Rio de Janeiro, Brazil, 20271-110Departamento de Engenharia Eltrica e Computao, Universidade de So Paulo, So Carlos, So Paulo, Brazil, 13566-590Universidade Estadual Paulista (UNESP)Universidade de São Paulo (USP)Elias, Leandro JoseFaria, Flavio AndradeAraujo, R.Magossi, RafaelOliveira, Vilma Alves2022-04-29T08:46:38Z2022-04-29T08:46:38Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1109/TFUZZ.2022.3152836IEEE Transactions on Fuzzy Systems.1941-00341063-6706http://hdl.handle.net/11449/23162510.1109/TFUZZ.2022.31528362-s2.0-85125351497Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIEEE Transactions on Fuzzy Systemsinfo:eu-repo/semantics/openAccess2024-07-10T15:41:38Zoai:repositorio.unesp.br:11449/231625Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:56:02.013178Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
title Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
spellingShingle Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
Elias, Leandro Jose
Control systems
full rank factorization
Fuzzy systems
Nonlinear systems
nonlinear systems
norm bounded uncertainties
Real-time systems
Switched controller
switched fuzzy Lyapunov-like functions
Switches
Symmetric matrices
Uncertainty
title_short Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
title_full Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
title_fullStr Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
title_full_unstemmed Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
title_sort Robust static output feedback <i>H</i><sub></sub> control for uncertain Takagi-Sugeno fuzzy systems
author Elias, Leandro Jose
author_facet Elias, Leandro Jose
Faria, Flavio Andrade
Araujo, R.
Magossi, Rafael
Oliveira, Vilma Alves
author_role author
author2 Faria, Flavio Andrade
Araujo, R.
Magossi, Rafael
Oliveira, Vilma Alves
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Elias, Leandro Jose
Faria, Flavio Andrade
Araujo, R.
Magossi, Rafael
Oliveira, Vilma Alves
dc.subject.por.fl_str_mv Control systems
full rank factorization
Fuzzy systems
Nonlinear systems
nonlinear systems
norm bounded uncertainties
Real-time systems
Switched controller
switched fuzzy Lyapunov-like functions
Switches
Symmetric matrices
Uncertainty
topic Control systems
full rank factorization
Fuzzy systems
Nonlinear systems
nonlinear systems
norm bounded uncertainties
Real-time systems
Switched controller
switched fuzzy Lyapunov-like functions
Switches
Symmetric matrices
Uncertainty
description In this work, a robust static output feedback (SOF) design for continuous-time nonlinear systems under norm bounded uncertainties, described as a Takagi-Sugeno (TS) system is proposed. The key features are that a switching control law is used to activate the SOF gains to stabilize the uncertain TS fuzzy system and that the SOF design does not require the measurements of all premise variables in real time as in the standard fuzzy parallel distributed compensation (PDC) design. The main result is given in terms of linear matrix inequalities (LMIs) which guarantees a <i>H</i><sub></sub> attenuation level of for the SOF control system. The efficiency of the main results is illustrated with examples, including a nonlinear active suspension system under uncertain driver masses, and compared to other published results from the literature.
publishDate 2022
dc.date.none.fl_str_mv 2022-04-29T08:46:38Z
2022-04-29T08:46:38Z
2022-01-01
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/10.1109/TFUZZ.2022.3152836
IEEE Transactions on Fuzzy Systems.
1941-0034
1063-6706
http://hdl.handle.net/11449/231625
10.1109/TFUZZ.2022.3152836
2-s2.0-85125351497
url http://dx.doi.org/10.1109/TFUZZ.2022.3152836
http://hdl.handle.net/11449/231625
identifier_str_mv IEEE Transactions on Fuzzy Systems.
1941-0034
1063-6706
10.1109/TFUZZ.2022.3152836
2-s2.0-85125351497
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IEEE Transactions on Fuzzy Systems
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_ 1808128723272073216

Registros relacionados