Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions

Detalhes bibliográficos
Autor(a) principal: Faria, Flávio A. [UNESP]
Data de Publicação: 2011
Outros Autores: Silva, Geraldo N. [UNESP], Oliveira, Vilma A., Cardim, Rodrigo [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3182/20110828-6-IT-1002.00029
http://hdl.handle.net/11449/72900
Resumo: In this paper, the fuzzy Lyapunov function approach is considered for stabilizing continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing a slack LMI variable into the problem formulation. The stability results are thus used in the state feedback design which is also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilizing conditions presented. © 2011 IFAC.
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spelling Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functionsLinear matrix inequalitiesStability analysisState feedback designTS fuzzy system: Fuzzy Lyapunov functionsContinuous timeFeedback designsFuzzy Lyapunov functionsNumerical exampleProblem formulationStability conditionStability resultsT S fuzzy systemTakagi Sugeno fuzzy systemsTime derivativeLyapunov functionsState feedbackIn this paper, the fuzzy Lyapunov function approach is considered for stabilizing continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing a slack LMI variable into the problem formulation. The stability results are thus used in the state feedback design which is also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilizing conditions presented. © 2011 IFAC.Departamento de Ciência da Computação e Estatística Instituto de Biociências Letras e Ciências Exatas UNESP, 15054-000, São José do Rio Preto, SPDepartamento de Engenharia Elétrica Universidade de São Paulo, 13560-970, São Carlos, SPDepartamento de Engenharia Elétrica UNESP Campus de Ilha Solteira, 15385-000, SPDepartamento de Ciência da Computação e Estatística Instituto de Biociências Letras e Ciências Exatas UNESP, 15054-000, São José do Rio Preto, SPDepartamento de Engenharia Elétrica UNESP Campus de Ilha Solteira, 15385-000, SPUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Faria, Flávio A. [UNESP]Silva, Geraldo N. [UNESP]Oliveira, Vilma A.Cardim, Rodrigo [UNESP]2014-05-27T11:26:15Z2014-05-27T11:26:15Z2011-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject10881-10886http://dx.doi.org/10.3182/20110828-6-IT-1002.00029IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.1474-6670http://hdl.handle.net/11449/7290010.3182/20110828-6-IT-1002.000292-s2.0-8486677448550620873805714620000-0002-1072-3814Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengIFAC Proceedings Volumes (IFAC-PapersOnline)info:eu-repo/semantics/openAccess2021-10-23T21:41:29Zoai:repositorio.unesp.br:11449/72900Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
title Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
spellingShingle Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
Faria, Flávio A. [UNESP]
Linear matrix inequalities
Stability analysis
State feedback design
TS fuzzy system: Fuzzy Lyapunov functions
Continuous time
Feedback designs
Fuzzy Lyapunov functions
Numerical example
Problem formulation
Stability condition
Stability results
T S fuzzy system
Takagi Sugeno fuzzy systems
Time derivative
Lyapunov functions
State feedback
title_short Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
title_full Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
title_fullStr Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
title_full_unstemmed Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
title_sort Improving the stability conditions of TS fuzzy systems with fuzzy Lyapunov functions
author Faria, Flávio A. [UNESP]
author_facet Faria, Flávio A. [UNESP]
Silva, Geraldo N. [UNESP]
Oliveira, Vilma A.
Cardim, Rodrigo [UNESP]
author_role author
author2 Silva, Geraldo N. [UNESP]
Oliveira, Vilma A.
Cardim, Rodrigo [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Faria, Flávio A. [UNESP]
Silva, Geraldo N. [UNESP]
Oliveira, Vilma A.
Cardim, Rodrigo [UNESP]
dc.subject.por.fl_str_mv Linear matrix inequalities
Stability analysis
State feedback design
TS fuzzy system: Fuzzy Lyapunov functions
Continuous time
Feedback designs
Fuzzy Lyapunov functions
Numerical example
Problem formulation
Stability condition
Stability results
T S fuzzy system
Takagi Sugeno fuzzy systems
Time derivative
Lyapunov functions
State feedback
topic Linear matrix inequalities
Stability analysis
State feedback design
TS fuzzy system: Fuzzy Lyapunov functions
Continuous time
Feedback designs
Fuzzy Lyapunov functions
Numerical example
Problem formulation
Stability condition
Stability results
T S fuzzy system
Takagi Sugeno fuzzy systems
Time derivative
Lyapunov functions
State feedback
description In this paper, the fuzzy Lyapunov function approach is considered for stabilizing continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing a slack LMI variable into the problem formulation. The stability results are thus used in the state feedback design which is also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilizing conditions presented. © 2011 IFAC.
publishDate 2011
dc.date.none.fl_str_mv 2011-12-01
2014-05-27T11:26:15Z
2014-05-27T11:26:15Z
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/10.3182/20110828-6-IT-1002.00029
IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.
1474-6670
http://hdl.handle.net/11449/72900
10.3182/20110828-6-IT-1002.00029
2-s2.0-84866774485
5062087380571462
0000-0002-1072-3814
url http://dx.doi.org/10.3182/20110828-6-IT-1002.00029
http://hdl.handle.net/11449/72900
identifier_str_mv IFAC Proceedings Volumes (IFAC-PapersOnline), v. 18, n. PART 1, p. 10881-10886, 2011.
1474-6670
10.3182/20110828-6-IT-1002.00029
2-s2.0-84866774485
5062087380571462
0000-0002-1072-3814
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv IFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10881-10886
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_ 1799965594021265408

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