Local stabilization of linear systems under amplitude and rate saturating actuators

This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible init...

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Detalhes bibliográficos
Autores: Silva Junior, Joao Manoel Gomes da, Tarbouriech, Sophie, Garcia, Germain
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2003
País:Brasil
Recursos:Universidade Federal do Rio Grande do Sul (UFRGS)
Repositório:Repositório Institucional da UFRGS
Idioma:inglês
OAI Identifier:oai:www.lume.ufrgs.br:10183/27572
Acesso em linha:http://hdl.handle.net/10183/27572
Access Level:Acceso aberto
Palavra-chave:Sistemas lineares : Estabilidade
Controle automático : Estabilidade
Constrained control
Control saturation
Linear matrix inequality (LMI)
Stabilization
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spelling 2011-01-28T05:59:06Z20030018-9286http://hdl.handle.net/10183/27572000366432This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.application/pdfengIEEE transactions on automatic control. New York, NY. vol. 48, no. 5 (May 2003), p. 842-847Sistemas lineares : EstabilidadeControle automático : EstabilidadeConstrained controlControl saturationLinear matrix inequality (LMI)StabilizationLocal stabilization of linear systems under amplitude and rate saturating actuatorsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSSilva Junior, Joao Manoel Gomes daTarbouriech, SophieGarcia, GermainORIGINAL000366432.pdf000366432.pdfTexto completo (inglês)application/pdf335659http://www.lume.ufrgs.br/bitstream/10183/27572/1/000366432.pdf39c41798f91a644b410f735204162ef3MD51TEXT000366432.pdf.txt000366432.pdf.txtExtracted Texttext/plain38474http://www.lume.ufrgs.br/bitstream/10183/27572/2/000366432.pdf.txt50ff87a1cc4710f0c79d42085309a4e5MD52THUMBNAIL000366432.pdf.jpg000366432.pdf.jpgGenerated Thumbnailimage/jpeg2013http://www.lume.ufrgs.br/bitstream/10183/27572/3/000366432.pdf.jpg1c8e0f2f0a966fba55f297fa9be8d8eeMD5310183/275722021-06-26 04:46:47.534902oai:www.lume.ufrgs.br:10183/27572Repositório InstitucionalPUBhttps://lume.ufrgs.br/oai/requestlume@ufrgs.bropendoar:2021-06-26T07:46:47Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Local stabilization of linear systems under amplitude and rate saturating actuators
title Local stabilization of linear systems under amplitude and rate saturating actuators
spellingShingle Local stabilization of linear systems under amplitude and rate saturating actuators
Silva Junior, Joao Manoel Gomes da
Sistemas lineares : Estabilidade
Controle automático : Estabilidade
Constrained control
Control saturation
Linear matrix inequality (LMI)
Stabilization
title_short Local stabilization of linear systems under amplitude and rate saturating actuators
title_full Local stabilization of linear systems under amplitude and rate saturating actuators
title_fullStr Local stabilization of linear systems under amplitude and rate saturating actuators
title_full_unstemmed Local stabilization of linear systems under amplitude and rate saturating actuators
title_sort Local stabilization of linear systems under amplitude and rate saturating actuators
dc.creator.none.fl_str_mv Silva Junior, Joao Manoel Gomes da
Tarbouriech, Sophie
Garcia, Germain
author Silva Junior, Joao Manoel Gomes da
author_facet Silva Junior, Joao Manoel Gomes da
Tarbouriech, Sophie
Garcia, Germain
author_role author
author2 Tarbouriech, Sophie
Garcia, Germain
author2_role author
author
dc.subject.por.fl_str_mv Sistemas lineares : Estabilidade
Controle automático : Estabilidade
topic Sistemas lineares : Estabilidade
Controle automático : Estabilidade
Constrained control
Control saturation
Linear matrix inequality (LMI)
Stabilization
dc.subject.eng.fl_str_mv Constrained control
Control saturation
Linear matrix inequality (LMI)
Stabilization
description This note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.
publishDate 2003
dc.date.issued.fl_str_mv 2003
dc.date.accessioned.fl_str_mv 2011-01-28T05:59:06Z
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/27572
dc.identifier.issn.pt_BR.fl_str_mv 0018-9286
dc.identifier.nrb.pt_BR.fl_str_mv 000366432
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv IEEE transactions on automatic control. New York, NY. vol. 48, no. 5 (May 2003), p. 842-847
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