Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels

Detalhes bibliográficos
Autor(a) principal: Rojas,Alejandro J.
Data de Publicação: 2012
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=S0103-17592012000400002
Resumo: In the present paper we obtain the infimal signal-to-noise ratio (SNR) required for the stabilizability of a linear output feedback loop over an additive white Gaussian noise (AWGN) channel in closed-form. The focus on AWGN channels allow us to then define the minimal channel capacity required for stabilizability. Finally, the infimal SNR for stabilizability also allow us to identify in closed-form the related stabilizing Hermitian positive semidefinite solution to the continuous-time algebraic Riccati equation of LQ control with vanishing state weight and repeated eigenvalues.
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spelling Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channelsControl over networksInfimal signal-to noise ratioAdditive white Gaussian noise channelRepeated unstable polesRepeated nonminimum phase zerosTime delayChannel capacityContinuous-time algebraic Riccati equationIn the present paper we obtain the infimal signal-to-noise ratio (SNR) required for the stabilizability of a linear output feedback loop over an additive white Gaussian noise (AWGN) channel in closed-form. The focus on AWGN channels allow us to then define the minimal channel capacity required for stabilizability. Finally, the infimal SNR for stabilizability also allow us to identify in closed-form the related stabilizing Hermitian positive semidefinite solution to the continuous-time algebraic Riccati equation of LQ control with vanishing state weight and repeated eigenvalues.Sociedade Brasileira de Automática2012-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592012000400002Sba: Controle & Automação Sociedade Brasileira de Automatica v.23 n.4 2012reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592012000400002info:eu-repo/semantics/openAccessRojas,Alejandro J.eng2012-08-09T00:00:00Zoai:scielo:S0103-17592012000400002Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2012-08-09T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
title Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
spellingShingle Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
Rojas,Alejandro J.
Control over networks
Infimal signal-to noise ratio
Additive white Gaussian noise channel
Repeated unstable poles
Repeated nonminimum phase zeros
Time delay
Channel capacity
Continuous-time algebraic Riccati equation
title_short Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
title_full Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
title_fullStr Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
title_full_unstemmed Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
title_sort Stabilizability of nonminimum phase unstable plants with arbitrary multiplicity over AWGN channels
author Rojas,Alejandro J.
author_facet Rojas,Alejandro J.
author_role author
dc.contributor.author.fl_str_mv Rojas,Alejandro J.
dc.subject.por.fl_str_mv Control over networks
Infimal signal-to noise ratio
Additive white Gaussian noise channel
Repeated unstable poles
Repeated nonminimum phase zeros
Time delay
Channel capacity
Continuous-time algebraic Riccati equation
topic Control over networks
Infimal signal-to noise ratio
Additive white Gaussian noise channel
Repeated unstable poles
Repeated nonminimum phase zeros
Time delay
Channel capacity
Continuous-time algebraic Riccati equation
description In the present paper we obtain the infimal signal-to-noise ratio (SNR) required for the stabilizability of a linear output feedback loop over an additive white Gaussian noise (AWGN) channel in closed-form. The focus on AWGN channels allow us to then define the minimal channel capacity required for stabilizability. Finally, the infimal SNR for stabilizability also allow us to identify in closed-form the related stabilizing Hermitian positive semidefinite solution to the continuous-time algebraic Riccati equation of LQ control with vanishing state weight and repeated eigenvalues.
publishDate 2012
dc.date.none.fl_str_mv 2012-08-01
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=S0103-17592012000400002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592012000400002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592012000400002
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.23 n.4 2012
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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