Nonlinear and Adaptive Control of a HIV-1 Infection Model
Autor(a) principal: | |
---|---|
Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/4982 https://doi.org/10.3182/20110828-6-IT-1002.03573 |
Resumo: | This paper presents algorithms for nonlinear and adaptive control of the viral load in a HIV-1 infection model. The model considered is a reduced complexity nonlinear state-space model with two state variables, representing the plasma concentration of un-infected and infected CD4+ T-cells of the human immune system. The viral load is assumed to be proportional to the concentration of infected cells. First, a change of variables that exactly linearizes this system is obtained. For the resulting linear system the manipulated variable is obtained by state feedback. To compensate for uncertainty in the infection parameter of the model an adaptation mechanism based on a Control Lyapunov Function is designed. Since the dependency on parameters is not linear, an approximation is made using a first order Taylor expansion. |
id |
RCAP_6f4174fdbaf272fb7277a973f0493dd5 |
---|---|
oai_identifier_str |
oai:dspace.uevora.pt:10174/4982 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
Nonlinear and Adaptive Control of a HIV-1 Infection ModelNonlinear ControlAdaptive ControlHIV-1This paper presents algorithms for nonlinear and adaptive control of the viral load in a HIV-1 infection model. The model considered is a reduced complexity nonlinear state-space model with two state variables, representing the plasma concentration of un-infected and infected CD4+ T-cells of the human immune system. The viral load is assumed to be proportional to the concentration of infected cells. First, a change of variables that exactly linearizes this system is obtained. For the resulting linear system the manipulated variable is obtained by state feedback. To compensate for uncertainty in the infection parameter of the model an adaptation mechanism based on a Control Lyapunov Function is designed. Since the dependency on parameters is not linear, an approximation is made using a first order Taylor expansion.2012-02-03T21:56:24Z2012-02-032011-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/4982http://hdl.handle.net/10174/4982https://doi.org/10.3182/20110828-6-IT-1002.03573porJ.M.Lemos, M.Barão, "Nonlinear and Adaptive Control of HIV-I Infection Model", Proceedings of the IFAC World Congress, Milan, 2011.ndmjsb@uevora.pt281Lemos, João M.Barão, 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:RCAAP2024-01-03T18:43:17Zoai:dspace.uevora.pt:10174/4982Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:00:03.467027Repositório 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 and Adaptive Control of a HIV-1 Infection Model |
title |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
spellingShingle |
Nonlinear and Adaptive Control of a HIV-1 Infection Model Lemos, João M. Nonlinear Control Adaptive Control HIV-1 |
title_short |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
title_full |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
title_fullStr |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
title_full_unstemmed |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
title_sort |
Nonlinear and Adaptive Control of a HIV-1 Infection Model |
author |
Lemos, João M. |
author_facet |
Lemos, João M. Barão, Miguel |
author_role |
author |
author2 |
Barão, Miguel |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Lemos, João M. Barão, Miguel |
dc.subject.por.fl_str_mv |
Nonlinear Control Adaptive Control HIV-1 |
topic |
Nonlinear Control Adaptive Control HIV-1 |
description |
This paper presents algorithms for nonlinear and adaptive control of the viral load in a HIV-1 infection model. The model considered is a reduced complexity nonlinear state-space model with two state variables, representing the plasma concentration of un-infected and infected CD4+ T-cells of the human immune system. The viral load is assumed to be proportional to the concentration of infected cells. First, a change of variables that exactly linearizes this system is obtained. For the resulting linear system the manipulated variable is obtained by state feedback. To compensate for uncertainty in the infection parameter of the model an adaptation mechanism based on a Control Lyapunov Function is designed. Since the dependency on parameters is not linear, an approximation is made using a first order Taylor expansion. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-08-01T00:00:00Z 2012-02-03T21:56:24Z 2012-02-03 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/4982 http://hdl.handle.net/10174/4982 https://doi.org/10.3182/20110828-6-IT-1002.03573 |
url |
http://hdl.handle.net/10174/4982 https://doi.org/10.3182/20110828-6-IT-1002.03573 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
J.M.Lemos, M.Barão, "Nonlinear and Adaptive Control of HIV-I Infection Model", Proceedings of the IFAC World Congress, Milan, 2011. nd mjsb@uevora.pt 281 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
|
_version_ |
1799136483095871488 |