Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function

Detalhes bibliográficos
Autor(a) principal: Elias, Leandro J.
Data de Publicação: 2021
Outros Autores: Faria, Flávio A. [UNESP], Araujo, Rayza, Oliveira, Vilma A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.ins.2020.07.020
http://hdl.handle.net/11449/205149
Resumo: In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions.
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spelling Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov functionDomain of attraction estimatesFinite polytopic representationLinear matrix inequalitiesSwitched fuzzy Lyapunov functionsTakagi–Sugeno systemsIn this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions.Depto de Matemática e Educação Instituto Federal de Educação Ciência e Tecnologia de São PauloDepartamento de Engenharia Física e Matemática Instituto de Química São Paulo State University (UNESP)Depto Engenharia Elétrica e Computação Universidade de São PauloDepartamento de Engenharia Física e Matemática Instituto de Química São Paulo State University (UNESP)Ciência e Tecnologia de São PauloUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Elias, Leandro J.Faria, Flávio A. [UNESP]Araujo, RayzaOliveira, Vilma A.2021-06-25T10:10:39Z2021-06-25T10:10:39Z2021-01-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article43-57http://dx.doi.org/10.1016/j.ins.2020.07.020Information Sciences, v. 543, p. 43-57.0020-0255http://hdl.handle.net/11449/20514910.1016/j.ins.2020.07.0202-s2.0-85088836010Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInformation Sciencesinfo:eu-repo/semantics/openAccess2025-05-28T05:38:53Zoai:repositorio.unesp.br:11449/205149Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462025-05-28T05:38:53Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
title Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
spellingShingle Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
Elias, Leandro J.
Domain of attraction estimates
Finite polytopic representation
Linear matrix inequalities
Switched fuzzy Lyapunov functions
Takagi–Sugeno systems
title_short Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
title_full Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
title_fullStr Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
title_full_unstemmed Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
title_sort Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
author Elias, Leandro J.
author_facet Elias, Leandro J.
Faria, Flávio A. [UNESP]
Araujo, Rayza
Oliveira, Vilma A.
author_role author
author2 Faria, Flávio A. [UNESP]
Araujo, Rayza
Oliveira, Vilma A.
author2_role author
author
author
dc.contributor.none.fl_str_mv Ciência e Tecnologia de São Paulo
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Elias, Leandro J.
Faria, Flávio A. [UNESP]
Araujo, Rayza
Oliveira, Vilma A.
dc.subject.por.fl_str_mv Domain of attraction estimates
Finite polytopic representation
Linear matrix inequalities
Switched fuzzy Lyapunov functions
Takagi–Sugeno systems
topic Domain of attraction estimates
Finite polytopic representation
Linear matrix inequalities
Switched fuzzy Lyapunov functions
Takagi–Sugeno systems
description In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi–Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions.
publishDate 2021
dc.date.none.fl_str_mv 2021-06-25T10:10:39Z
2021-06-25T10:10:39Z
2021-01-08
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/10.1016/j.ins.2020.07.020
Information Sciences, v. 543, p. 43-57.
0020-0255
http://hdl.handle.net/11449/205149
10.1016/j.ins.2020.07.020
2-s2.0-85088836010
url http://dx.doi.org/10.1016/j.ins.2020.07.020
http://hdl.handle.net/11449/205149
identifier_str_mv Information Sciences, v. 543, p. 43-57.
0020-0255
10.1016/j.ins.2020.07.020
2-s2.0-85088836010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Information Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 43-57
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 repositoriounesp@unesp.br
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