Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls

Detalhes bibliográficos
Autor(a) principal: Silva Jr.,João Manoel Gomes da
Data de Publicação: 2004
Outros Autores: Reginatto,Romeu, Tarbouriech,Sophie
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=S0103-17592004000100002
Resumo: The purpose of this paper is to study the determination of stability regions for discrete-time linear systems with saturating controls through anti-windup schemes. Considering that a linear dynamic output feedback has been designed to stabilize the linear discrete-time system (without saturation), a method is proposed for designing an anti-windup gain that maximizes an estimate of the basin of attraction of the closed-loop system in the presence of saturation. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be modeled by a linear system connected to a deadzone nonlinearity. From this model, stability conditions based on quadratic Lyapunov functions are stated. Algorithms based on LMI schemes are proposed for computing both the anti-windup gain and an associated stability region.
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spelling Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controlsAnti-windupcontrol saturationdiscrete-time systemsregions of stabilityThe purpose of this paper is to study the determination of stability regions for discrete-time linear systems with saturating controls through anti-windup schemes. Considering that a linear dynamic output feedback has been designed to stabilize the linear discrete-time system (without saturation), a method is proposed for designing an anti-windup gain that maximizes an estimate of the basin of attraction of the closed-loop system in the presence of saturation. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be modeled by a linear system connected to a deadzone nonlinearity. From this model, stability conditions based on quadratic Lyapunov functions are stated. Algorithms based on LMI schemes are proposed for computing both the anti-windup gain and an associated stability region.Sociedade Brasileira de Automática2004-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592004000100002Sba: Controle & Automação Sociedade Brasileira de Automatica v.15 n.1 2004reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592004000100002info:eu-repo/semantics/openAccessSilva Jr.,João Manoel Gomes daReginatto,RomeuTarbouriech,Sophieeng2004-06-14T00:00:00Zoai:scielo:S0103-17592004000100002Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2004-06-14T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
title Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
spellingShingle Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
Silva Jr.,João Manoel Gomes da
Anti-windup
control saturation
discrete-time systems
regions of stability
title_short Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
title_full Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
title_fullStr Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
title_full_unstemmed Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
title_sort Anti-windup design with guaranteed regions of stability for discrete-time linear systems with saturating controls
author Silva Jr.,João Manoel Gomes da
author_facet Silva Jr.,João Manoel Gomes da
Reginatto,Romeu
Tarbouriech,Sophie
author_role author
author2 Reginatto,Romeu
Tarbouriech,Sophie
author2_role author
author
dc.contributor.author.fl_str_mv Silva Jr.,João Manoel Gomes da
Reginatto,Romeu
Tarbouriech,Sophie
dc.subject.por.fl_str_mv Anti-windup
control saturation
discrete-time systems
regions of stability
topic Anti-windup
control saturation
discrete-time systems
regions of stability
description The purpose of this paper is to study the determination of stability regions for discrete-time linear systems with saturating controls through anti-windup schemes. Considering that a linear dynamic output feedback has been designed to stabilize the linear discrete-time system (without saturation), a method is proposed for designing an anti-windup gain that maximizes an estimate of the basin of attraction of the closed-loop system in the presence of saturation. It is shown that the closed-loop system obtained from the controller plus the anti-windup gain can be modeled by a linear system connected to a deadzone nonlinearity. From this model, stability conditions based on quadratic Lyapunov functions are stated. Algorithms based on LMI schemes are proposed for computing both the anti-windup gain and an associated stability region.
publishDate 2004
dc.date.none.fl_str_mv 2004-03-01
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=S0103-17592004000100002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592004000100002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592004000100002
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.15 n.1 2004
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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