Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions

Detalhes bibliográficos
Autor(a) principal: Elias, Leandro J.
Data de Publicação: 2020
Outros Autores: Faria, Flávio A. [UNESP], Araujo, Rayza, Oliveira, Vilma A.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.ifacol.2020.12.1768
http://hdl.handle.net/11449/207674
Resumo: Exploring properties of membership functions, sufficient conditions based on linear matrix inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are proposed. To obtain the LMIs, the time derivative of membership functions are described as a finite polytopic representation, leading to less conservative conditions than other published results. A numerical example illustrates the efficiency of the stabilizing conditions.
id UNSP_707efa314ae7ea228c0a07b216873722
oai_identifier_str oai:repositorio.unesp.br:11449/207674
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functionsLinear matrix inequalitiesPolynomial Lyapunov functionsStability analysisTS fuzzy systemExploring properties of membership functions, sufficient conditions based on linear matrix inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are proposed. To obtain the LMIs, the time derivative of membership functions are described as a finite polytopic representation, leading to less conservative conditions than other published results. A numerical example illustrates the efficiency of the stabilizing conditions.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Biblioteca NacionalDepto de Matemática e Educação Instituto Federal de Educação Ciência e Tecnologia de São PauloDepto de Físico Química Instituto de Química São Paulo State University (UNESP)Depto Engenharia Elétrica e Computação Universidade de São PauloDepto de Físico Química Instituto de Química São Paulo State University (UNESP)FAPESP: 2014/50851-0Biblioteca Nacional: 305892/2017-7Biblioteca Nacional: 448391/2014-7Ciência e Tecnologia de São PauloUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Elias, Leandro J.Faria, Flávio A. [UNESP]Araujo, RayzaOliveira, Vilma A.2021-06-25T10:59:05Z2021-06-25T10:59:05Z2020-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject6352-6357http://dx.doi.org/10.1016/j.ifacol.2020.12.1768IFAC-PapersOnLine, v. 53, n. 2, p. 6352-6357, 2020.2405-8963http://hdl.handle.net/11449/20767410.1016/j.ifacol.2020.12.17682-s2.0-85105046752Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIFAC-PapersOnLineinfo:eu-repo/semantics/openAccess2021-10-23T17:45:55Zoai:repositorio.unesp.br:11449/207674Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T17:45:55Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
title Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
spellingShingle Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
Elias, Leandro J.
Linear matrix inequalities
Polynomial Lyapunov functions
Stability analysis
TS fuzzy system
title_short Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
title_full Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
title_fullStr Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
title_full_unstemmed Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
title_sort Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
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 Linear matrix inequalities
Polynomial Lyapunov functions
Stability analysis
TS fuzzy system
topic Linear matrix inequalities
Polynomial Lyapunov functions
Stability analysis
TS fuzzy system
description Exploring properties of membership functions, sufficient conditions based on linear matrix inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are proposed. To obtain the LMIs, the time derivative of membership functions are described as a finite polytopic representation, leading to less conservative conditions than other published results. A numerical example illustrates the efficiency of the stabilizing conditions.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
2021-06-25T10:59:05Z
2021-06-25T10:59:05Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.ifacol.2020.12.1768
IFAC-PapersOnLine, v. 53, n. 2, p. 6352-6357, 2020.
2405-8963
http://hdl.handle.net/11449/207674
10.1016/j.ifacol.2020.12.1768
2-s2.0-85105046752
url http://dx.doi.org/10.1016/j.ifacol.2020.12.1768
http://hdl.handle.net/11449/207674
identifier_str_mv IFAC-PapersOnLine, v. 53, n. 2, p. 6352-6357, 2020.
2405-8963
10.1016/j.ifacol.2020.12.1768
2-s2.0-85105046752
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IFAC-PapersOnLine
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 6352-6357
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_ 1797789491604226048

Registros relacionados