Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems

Detalhes bibliográficos
Autor(a) principal: Arrifano,Natache S.D.
Data de Publicação: 2005
Outros Autores: Oliveira,Vilma A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100003
Resumo: Stability analysis and a systematic robust fuzzy control design for uncertain nonlinear systems with polytopic uncertainties are presented. The approach given uses the T-S fuzzy systems which are represented by a family of local uncertain linear systems with aggregation. The resulting fuzzy controller is a blending of state feedback gains obtained from a guaranteed cost control (GCC) problem. A sufficient condition for the robust stability of the feedback T-S fuzzy system with uncertainties using a quadratic Lyapunov function is given. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities (LMIs).
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spelling Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systemsguaranteed cost controlfuzzy controlrobust controluncertain T-S fuzzy systemsStability analysis and a systematic robust fuzzy control design for uncertain nonlinear systems with polytopic uncertainties are presented. The approach given uses the T-S fuzzy systems which are represented by a family of local uncertain linear systems with aggregation. The resulting fuzzy controller is a blending of state feedback gains obtained from a guaranteed cost control (GCC) problem. A sufficient condition for the robust stability of the feedback T-S fuzzy system with uncertainties using a quadratic Lyapunov function is given. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities (LMIs).Sociedade Brasileira de Matemática Aplicada e Computacional2005-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100003Computational & Applied Mathematics v.24 n.1 2005reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessArrifano,Natache S.D.Oliveira,Vilma A.eng2009-05-07T00:00:00Zoai:scielo:S1807-03022005000100003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2009-05-07T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
title Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
spellingShingle Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
Arrifano,Natache S.D.
guaranteed cost control
fuzzy control
robust control
uncertain T-S fuzzy systems
title_short Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
title_full Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
title_fullStr Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
title_full_unstemmed Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
title_sort Guaranteed cost fuzzy controllers for a class of uncertain nonlinear dynamic systems
author Arrifano,Natache S.D.
author_facet Arrifano,Natache S.D.
Oliveira,Vilma A.
author_role author
author2 Oliveira,Vilma A.
author2_role author
dc.contributor.author.fl_str_mv Arrifano,Natache S.D.
Oliveira,Vilma A.
dc.subject.por.fl_str_mv guaranteed cost control
fuzzy control
robust control
uncertain T-S fuzzy systems
topic guaranteed cost control
fuzzy control
robust control
uncertain T-S fuzzy systems
description Stability analysis and a systematic robust fuzzy control design for uncertain nonlinear systems with polytopic uncertainties are presented. The approach given uses the T-S fuzzy systems which are represented by a family of local uncertain linear systems with aggregation. The resulting fuzzy controller is a blending of state feedback gains obtained from a guaranteed cost control (GCC) problem. A sufficient condition for the robust stability of the feedback T-S fuzzy system with uncertainties using a quadratic Lyapunov function is given. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities (LMIs).
publishDate 2005
dc.date.none.fl_str_mv 2005-04-01
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=S1807-03022005000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022005000100003
dc.language.iso.fl_str_mv eng
language eng
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 Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.24 n.1 2005
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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