Stability analysis of Takagi–Sugeno systems using a switched fuzzy Lyapunov function
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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2946 |
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/openAccess2021-10-23T10:45:21Zoai:repositorio.unesp.br:11449/205149Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T10:45:21Repositório 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 |
|
_version_ |
1799964896513753088 |