Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function

Detalhes bibliográficos
Autor(a) principal: Mozelli,Leonardo Amaral
Data de Publicação: 2011
Outros Autores: Palhares,Reinaldo Martinez
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Sba: Controle & Automação Sociedade Brasileira de Automatica
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000600011
Resumo: Stability analysis of TS fuzzy systems can be much improved by resorting to fuzzy Lyapunov functions, since they are parameterized by membership functions and can better characterize the time-varying feature of these systems by means of the information regarding the first time-derivative of the membership functions. In this paper an enhanced fuzzy Lyapunov function is used to develop stability conditions that evaluate also the second time-derivative of membership functions, improving the time-varying characterization of TS systems. By using diferent strategies to consider the information regarding such derivatives and employing some numerical tools that decouple system from Lyapunov function matrices new LMI tests are developed. Numerical examples illustrate the effectiveness of those methodologies.
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spelling Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov functionTakagi-Sugeno fuzzy systemsLinear Matrix InequalitiesStability analysisStability analysis of TS fuzzy systems can be much improved by resorting to fuzzy Lyapunov functions, since they are parameterized by membership functions and can better characterize the time-varying feature of these systems by means of the information regarding the first time-derivative of the membership functions. In this paper an enhanced fuzzy Lyapunov function is used to develop stability conditions that evaluate also the second time-derivative of membership functions, improving the time-varying characterization of TS systems. By using diferent strategies to consider the information regarding such derivatives and employing some numerical tools that decouple system from Lyapunov function matrices new LMI tests are developed. Numerical examples illustrate the effectiveness of those methodologies.Sociedade Brasileira de Automática2011-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000600011Sba: Controle & Automação Sociedade Brasileira de Automatica v.22 n.6 2011reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592011000600011info:eu-repo/semantics/openAccessMozelli,Leonardo AmaralPalhares,Reinaldo Martinezeng2012-01-13T00:00:00Zoai:scielo:S0103-17592011000600011Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2012-01-13T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
title Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
spellingShingle Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
Mozelli,Leonardo Amaral
Takagi-Sugeno fuzzy systems
Linear Matrix Inequalities
Stability analysis
title_short Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
title_full Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
title_fullStr Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
title_full_unstemmed Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
title_sort Stability analysis of Takagi-Sugeno fuzzy systems via LMI: methodologies based on a new fuzzy Lyapunov function
author Mozelli,Leonardo Amaral
author_facet Mozelli,Leonardo Amaral
Palhares,Reinaldo Martinez
author_role author
author2 Palhares,Reinaldo Martinez
author2_role author
dc.contributor.author.fl_str_mv Mozelli,Leonardo Amaral
Palhares,Reinaldo Martinez
dc.subject.por.fl_str_mv Takagi-Sugeno fuzzy systems
Linear Matrix Inequalities
Stability analysis
topic Takagi-Sugeno fuzzy systems
Linear Matrix Inequalities
Stability analysis
description Stability analysis of TS fuzzy systems can be much improved by resorting to fuzzy Lyapunov functions, since they are parameterized by membership functions and can better characterize the time-varying feature of these systems by means of the information regarding the first time-derivative of the membership functions. In this paper an enhanced fuzzy Lyapunov function is used to develop stability conditions that evaluate also the second time-derivative of membership functions, improving the time-varying characterization of TS systems. By using diferent strategies to consider the information regarding such derivatives and employing some numerical tools that decouple system from Lyapunov function matrices new LMI tests are developed. Numerical examples illustrate the effectiveness of those methodologies.
publishDate 2011
dc.date.none.fl_str_mv 2011-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000600011
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592011000600011
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592011000600011
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Automática
publisher.none.fl_str_mv Sociedade Brasileira de Automática
dc.source.none.fl_str_mv Sba: Controle & Automação Sociedade Brasileira de Automatica v.22 n.6 2011
reponame:Sba: Controle & Automação Sociedade Brasileira de Automatica
instname:Sociedade Brasileira de Automática (SBA)
instacron:SBA
instname_str Sociedade Brasileira de Automática (SBA)
instacron_str SBA
institution SBA
reponame_str Sba: Controle & Automação Sociedade Brasileira de Automatica
collection Sba: Controle & Automação Sociedade Brasileira de Automatica
repository.name.fl_str_mv Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)
repository.mail.fl_str_mv ||revista_sba@fee.unicamp.br
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