Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach

Detalhes bibliográficos
Autor(a) principal: Arrifano,Natache S. D.
Data de Publicação: 2006
Outros Autores: Oliveira,Vilma A., Cossi,Lúcia V.
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=S0103-17592006000200009
Resumo: A new stability analysis and design of a fuzzy switching control based on uncertain Takagi-Sugeno fuzzy systems are proposed. The fuzzy system adopted is composed by a family of local linear uncertain systems with aggregation. The control design proposed uses local state feedback gains obtained from an optimization problem with guaranteed cost performance formulated in the context of linear matrix inequalities and a fuzzy switching scheme built from local Lyapunov functions. The global stability is guaranteed by considering a class of piecewise quadratic Lyapunov functions. Examples are given to illustrate the applicability of the proposed approach.
id SBA-2_c896d1b4c54b36b32b1c960a83e4f45f
oai_identifier_str oai:scielo:S0103-17592006000200009
network_acronym_str SBA-2
network_name_str Sba: Controle & Automação Sociedade Brasileira de Automatica
repository_id_str
spelling Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approachSwitching fuzzy controlGuaranteed cost fuzzy controlUncertain Takagi-Sugeno fuzzy systemsPiecewise quadratic Lyapunov functionsA new stability analysis and design of a fuzzy switching control based on uncertain Takagi-Sugeno fuzzy systems are proposed. The fuzzy system adopted is composed by a family of local linear uncertain systems with aggregation. The control design proposed uses local state feedback gains obtained from an optimization problem with guaranteed cost performance formulated in the context of linear matrix inequalities and a fuzzy switching scheme built from local Lyapunov functions. The global stability is guaranteed by considering a class of piecewise quadratic Lyapunov functions. Examples are given to illustrate the applicability of the proposed approach.Sociedade Brasileira de Automática2006-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592006000200009Sba: Controle & Automação Sociedade Brasileira de Automatica v.17 n.2 2006reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592006000200009info:eu-repo/semantics/openAccessArrifano,Natache S. D.Oliveira,Vilma A.Cossi,Lúcia V.eng2007-03-07T00:00:00Zoai:scielo:S0103-17592006000200009Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2007-03-07T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
title Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
spellingShingle Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
Arrifano,Natache S. D.
Switching fuzzy control
Guaranteed cost fuzzy control
Uncertain Takagi-Sugeno fuzzy systems
Piecewise quadratic Lyapunov functions
title_short Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
title_full Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
title_fullStr Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
title_full_unstemmed Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
title_sort Synthesis of an LMI-based fuzzy control system with guaranteed cost performance: a piecewise Lyapunov approach
author Arrifano,Natache S. D.
author_facet Arrifano,Natache S. D.
Oliveira,Vilma A.
Cossi,Lúcia V.
author_role author
author2 Oliveira,Vilma A.
Cossi,Lúcia V.
author2_role author
author
dc.contributor.author.fl_str_mv Arrifano,Natache S. D.
Oliveira,Vilma A.
Cossi,Lúcia V.
dc.subject.por.fl_str_mv Switching fuzzy control
Guaranteed cost fuzzy control
Uncertain Takagi-Sugeno fuzzy systems
Piecewise quadratic Lyapunov functions
topic Switching fuzzy control
Guaranteed cost fuzzy control
Uncertain Takagi-Sugeno fuzzy systems
Piecewise quadratic Lyapunov functions
description A new stability analysis and design of a fuzzy switching control based on uncertain Takagi-Sugeno fuzzy systems are proposed. The fuzzy system adopted is composed by a family of local linear uncertain systems with aggregation. The control design proposed uses local state feedback gains obtained from an optimization problem with guaranteed cost performance formulated in the context of linear matrix inequalities and a fuzzy switching scheme built from local Lyapunov functions. The global stability is guaranteed by considering a class of piecewise quadratic Lyapunov functions. Examples are given to illustrate the applicability of the proposed approach.
publishDate 2006
dc.date.none.fl_str_mv 2006-06-01
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=S0103-17592006000200009
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592006000200009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592006000200009
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.17 n.2 2006
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
_version_ 1754824564394688512

Registros relacionados