Design of periodic event-triggered control for polynomial systems: A delay system approach

Event-triggered control is a control strategy which allows the savings of communication resources in networked control systems. In this paper, we are interested in periodic eventtriggering mechanisms in the sense that the triggering condition is only verified at predefined periodic sampling instants...

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Authors: Aranda Escolástico, Ernesto, Abdelrahim, M., Guinaldo Losada, María, Dormido Canto, Sebastián, Heemels, W.P.M.H.
Format: article
Publication Date:2017
Country:España
Institution:Universidad Nacional de Educación a Distancia
Repository:e-spacio. Repositorio Institucional de la UNED
Language:English
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/23921
Online Access:https://hdl.handle.net/20.500.14468/23921
Access Level:Open access
Keyword:33 Ciencias Tecnológicas
networked control systems
event-triggered control
nonlinear systems
Lyapunov stability
polynomial models
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spelling Design of periodic event-triggered control for polynomial systems: A delay system approachAranda Escolástico, ErnestoAbdelrahim, M.Guinaldo Losada, MaríaDormido Canto, SebastiánHeemels, W.P.M.H.33 Ciencias Tecnológicasnetworked control systemsevent-triggered controlnonlinear systemsLyapunov stabilitypolynomial modelsEvent-triggered control is a control strategy which allows the savings of communication resources in networked control systems. In this paper, we are interested in periodic eventtriggering mechanisms in the sense that the triggering condition is only verified at predefined periodic sampling instants, which automatically ensures that Zeno behavior does not occur. We consider the case where both the output measurement and the control input are transmitted asynchronously using two independent triggering conditions. The developed result is dedicated to a class of nonlinear systems, where both the plant model and the feedback law can be described by polynomial functions. The overall problem is modeled and analyzed in the framework of time-delay systems, which allows to derive sum-of-squares (SOS) conditions to guarantee the global asymptotic stability in terms of the sampling period and the parameters of the triggering conditions. The approach is illustrated on a nonlinear numerical example.Elseviere-Spacio UNED20242024-10-0420172017-10-1720172017-10-17journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14468/23921reponame:e-spacio. Repositorio Institucional de la UNEDinstname:Universidad Nacional de Educación a DistanciaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.esoai:e-spacio.uned.es:20.500.14468/239212026-06-06T12:38:31Z
dc.title.none.fl_str_mv Design of periodic event-triggered control for polynomial systems: A delay system approach
title Design of periodic event-triggered control for polynomial systems: A delay system approach
spellingShingle Design of periodic event-triggered control for polynomial systems: A delay system approach
Aranda Escolástico, Ernesto
33 Ciencias Tecnológicas
networked control systems
event-triggered control
nonlinear systems
Lyapunov stability
polynomial models
title_short Design of periodic event-triggered control for polynomial systems: A delay system approach
title_full Design of periodic event-triggered control for polynomial systems: A delay system approach
title_fullStr Design of periodic event-triggered control for polynomial systems: A delay system approach
title_full_unstemmed Design of periodic event-triggered control for polynomial systems: A delay system approach
title_sort Design of periodic event-triggered control for polynomial systems: A delay system approach
dc.creator.none.fl_str_mv Aranda Escolástico, Ernesto
Abdelrahim, M.
Guinaldo Losada, María
Dormido Canto, Sebastián
Heemels, W.P.M.H.
author Aranda Escolástico, Ernesto
author_facet Aranda Escolástico, Ernesto
Abdelrahim, M.
Guinaldo Losada, María
Dormido Canto, Sebastián
Heemels, W.P.M.H.
author_role author
author2 Abdelrahim, M.
Guinaldo Losada, María
Dormido Canto, Sebastián
Heemels, W.P.M.H.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv e-Spacio UNED
dc.subject.none.fl_str_mv 33 Ciencias Tecnológicas
networked control systems
event-triggered control
nonlinear systems
Lyapunov stability
polynomial models
topic 33 Ciencias Tecnológicas
networked control systems
event-triggered control
nonlinear systems
Lyapunov stability
polynomial models
description Event-triggered control is a control strategy which allows the savings of communication resources in networked control systems. In this paper, we are interested in periodic eventtriggering mechanisms in the sense that the triggering condition is only verified at predefined periodic sampling instants, which automatically ensures that Zeno behavior does not occur. We consider the case where both the output measurement and the control input are transmitted asynchronously using two independent triggering conditions. The developed result is dedicated to a class of nonlinear systems, where both the plant model and the feedback law can be described by polynomial functions. The overall problem is modeled and analyzed in the framework of time-delay systems, which allows to derive sum-of-squares (SOS) conditions to guarantee the global asymptotic stability in terms of the sampling period and the parameters of the triggering conditions. The approach is illustrated on a nonlinear numerical example.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-10-17
2017
2017-10-17
2024
2024-10-04
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14468/23921
url https://hdl.handle.net/20.500.14468/23921
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:e-spacio. Repositorio Institucional de la UNED
instname:Universidad Nacional de Educación a Distancia
instname_str Universidad Nacional de Educación a Distancia
reponame_str e-spacio. Repositorio Institucional de la UNED
collection e-spacio. Repositorio Institucional de la UNED
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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