Robust sliding control of SEIR epidemic models

This paper is aimed at designing a robust vaccination strategy capable of eradicating an infectious disease from a population regardless of the potential uncertainty in the parameters defining the disease. For this purpose, a control theoretic approach based on a sliding-mode control law is used. In...

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Autores: Ibeas, Asier|||0000-0001-5094-3152, De la Sen, Manuel|||0000-0001-9320-9433, Alonso-Quesada, Santiago|||0000-0002-4724-7583
Formato: artículo
Fecha de publicación:2014
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:215260
Acesso em linha:https://ddd.uab.cat/record/215260
https://dx.doi.org/urn:doi:10.1155/2014/104764
Access Level:acceso abierto
Palavra-chave:Adaptive sliding control
Closed loop properties
Control-theoretic approach
Infectious disease
Parametric uncertainties
Saturation function
SEIR epidemic models
Vaccination strategy
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spelling Robust sliding control of SEIR epidemic modelsIbeas, Asier|||0000-0001-5094-3152De la Sen, Manuel|||0000-0001-9320-9433Alonso-Quesada, Santiago|||0000-0002-4724-7583Adaptive sliding controlClosed loop propertiesControl-theoretic approachInfectious diseaseParametric uncertaintiesSaturation functionSEIR epidemic modelsVaccination strategyThis paper is aimed at designing a robust vaccination strategy capable of eradicating an infectious disease from a population regardless of the potential uncertainty in the parameters defining the disease. For this purpose, a control theoretic approach based on a sliding-mode control law is used. Initially, the controller is designed assuming certain knowledge of an upper-bound of the uncertainty signal. Afterwards, this condition is removed while an adaptive sliding control system is designed. The closed-loop properties are proved mathematically in the nonadaptive and adaptive cases. Furthermore, the usual sign function appearing in the sliding-mode control is substituted by the saturation function in order to prevent chattering. In addition, the properties achieved by the closed-loop system under this variation are also stated and proved analytically. The closed-loop system is able to attain the control objective regardless of the parametric uncertainties of the model and the lack of a priori knowledge on the system. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/215260https://dx.doi.org/urn:doi:10.1155/2014/104764reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2152602026-06-06T12:50:31Z
dc.title.none.fl_str_mv Robust sliding control of SEIR epidemic models
title Robust sliding control of SEIR epidemic models
spellingShingle Robust sliding control of SEIR epidemic models
Ibeas, Asier|||0000-0001-5094-3152
Adaptive sliding control
Closed loop properties
Control-theoretic approach
Infectious disease
Parametric uncertainties
Saturation function
SEIR epidemic models
Vaccination strategy
title_short Robust sliding control of SEIR epidemic models
title_full Robust sliding control of SEIR epidemic models
title_fullStr Robust sliding control of SEIR epidemic models
title_full_unstemmed Robust sliding control of SEIR epidemic models
title_sort Robust sliding control of SEIR epidemic models
dc.creator.none.fl_str_mv Ibeas, Asier|||0000-0001-5094-3152
De la Sen, Manuel|||0000-0001-9320-9433
Alonso-Quesada, Santiago|||0000-0002-4724-7583
author Ibeas, Asier|||0000-0001-5094-3152
author_facet Ibeas, Asier|||0000-0001-5094-3152
De la Sen, Manuel|||0000-0001-9320-9433
Alonso-Quesada, Santiago|||0000-0002-4724-7583
author_role author
author2 De la Sen, Manuel|||0000-0001-9320-9433
Alonso-Quesada, Santiago|||0000-0002-4724-7583
author2_role author
author
dc.subject.none.fl_str_mv Adaptive sliding control
Closed loop properties
Control-theoretic approach
Infectious disease
Parametric uncertainties
Saturation function
SEIR epidemic models
Vaccination strategy
topic Adaptive sliding control
Closed loop properties
Control-theoretic approach
Infectious disease
Parametric uncertainties
Saturation function
SEIR epidemic models
Vaccination strategy
description This paper is aimed at designing a robust vaccination strategy capable of eradicating an infectious disease from a population regardless of the potential uncertainty in the parameters defining the disease. For this purpose, a control theoretic approach based on a sliding-mode control law is used. Initially, the controller is designed assuming certain knowledge of an upper-bound of the uncertainty signal. Afterwards, this condition is removed while an adaptive sliding control system is designed. The closed-loop properties are proved mathematically in the nonadaptive and adaptive cases. Furthermore, the usual sign function appearing in the sliding-mode control is substituted by the saturation function in order to prevent chattering. In addition, the properties achieved by the closed-loop system under this variation are also stated and proved analytically. The closed-loop system is able to attain the control objective regardless of the parametric uncertainties of the model and the lack of a priori knowledge on the system.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/215260
https://dx.doi.org/urn:doi:10.1155/2014/104764
url https://ddd.uab.cat/record/215260
https://dx.doi.org/urn:doi:10.1155/2014/104764
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 DPI2012-30651
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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