Nonlinear control of HIV-1 infection with a singular perturbation model

Detalhes bibliográficos
Autor(a) principal: Barão, Miguel
Data de Publicação: 2007
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/1491
Resumo: Using a singular perturbation approximation, a nonlinear state-space model of HIV-1 infection, having as state variables the number of healthy and infected CD4+T cells and the number of virion particles, is simplified and used to design a control law. The control law comprises an inner block that performs feedback linearizing of the virus dynamics and an outer block implementing an LQ regulator that drives the number of virion particles to a number below the specification. A sensitivity analysis of the resulting law is performed with respect to the model parameter to the infection rate, showing that the controlled system remains stable in the presence of significant changes of this parameter with respect to the nominal value.
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spelling Nonlinear control of HIV-1 infection with a singular perturbation modelHIV-1Feedback linearizing controlStability robustnessLQ controlSingular perturbationsUsing a singular perturbation approximation, a nonlinear state-space model of HIV-1 infection, having as state variables the number of healthy and infected CD4+T cells and the number of virion particles, is simplified and used to design a control law. The control law comprises an inner block that performs feedback linearizing of the virus dynamics and an outer block implementing an LQ regulator that drives the number of virion particles to a number below the specification. A sensitivity analysis of the resulting law is performed with respect to the model parameter to the infection rate, showing that the controlled system remains stable in the presence of significant changes of this parameter with respect to the nominal value.2009-04-08T15:19:51Z2009-04-082007-07-25T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1051991 bytesapplication/pdfhttp://hdl.handle.net/10174/1491http://hdl.handle.net/10174/1491eng248-257Biomedical Signal Processing and Control32livremjsb@di.uevora.pt493Barão, Miguelinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:37:30Zoai:dspace.uevora.pt:10174/1491Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:57:32.792353Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Nonlinear control of HIV-1 infection with a singular perturbation model
title Nonlinear control of HIV-1 infection with a singular perturbation model
spellingShingle Nonlinear control of HIV-1 infection with a singular perturbation model
Barão, Miguel
HIV-1
Feedback linearizing control
Stability robustness
LQ control
Singular perturbations
title_short Nonlinear control of HIV-1 infection with a singular perturbation model
title_full Nonlinear control of HIV-1 infection with a singular perturbation model
title_fullStr Nonlinear control of HIV-1 infection with a singular perturbation model
title_full_unstemmed Nonlinear control of HIV-1 infection with a singular perturbation model
title_sort Nonlinear control of HIV-1 infection with a singular perturbation model
author Barão, Miguel
author_facet Barão, Miguel
author_role author
dc.contributor.author.fl_str_mv Barão, Miguel
dc.subject.por.fl_str_mv HIV-1
Feedback linearizing control
Stability robustness
LQ control
Singular perturbations
topic HIV-1
Feedback linearizing control
Stability robustness
LQ control
Singular perturbations
description Using a singular perturbation approximation, a nonlinear state-space model of HIV-1 infection, having as state variables the number of healthy and infected CD4+T cells and the number of virion particles, is simplified and used to design a control law. The control law comprises an inner block that performs feedback linearizing of the virus dynamics and an outer block implementing an LQ regulator that drives the number of virion particles to a number below the specification. A sensitivity analysis of the resulting law is performed with respect to the model parameter to the infection rate, showing that the controlled system remains stable in the presence of significant changes of this parameter with respect to the nominal value.
publishDate 2007
dc.date.none.fl_str_mv 2007-07-25T00:00:00Z
2009-04-08T15:19:51Z
2009-04-08
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/1491
http://hdl.handle.net/10174/1491
url http://hdl.handle.net/10174/1491
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 248-257
Biomedical Signal Processing and Control
3
2
livre
mjsb@di.uevora.pt
493
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