Oscillating delayed feedback control schemes for stabilizing equilibrium points

Autores
Pastor, Verónica E.; González, Graciela Adriana
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. Two methods based on it are dealt with in this work. It is rigorously proven that for a nonlinear scalar system, stabilization in one of its (unstable) equilibrium points is achieved if any of these methods is applied. An ad-hoc map is associated to the (continuous) controlled system and the results are derived using discrete-time system stabilization tools. Moreover, the stability parameters region is fully described and issues like control performance, rate of convergence or robustness aspects are carefully analyzed.
Fil: Pastor, Verónica E.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Fil: González, Graciela Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Materia
APPLIED MATHEMATICS
CONTROL PERFORMANCE
DELAY
MATHEMATICAL METHODS
OSCILLATING FEEDBACK CONTROL
RATE OF CONVERGENCE
REGION
STABILITY PARAMETERS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/130458
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/130458
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Oscillating delayed feedback control schemes for stabilizing equilibrium pointsPastor, Verónica E.González, Graciela AdrianaAPPLIED MATHEMATICSCONTROL PERFORMANCEDELAYMATHEMATICAL METHODSOSCILLATING FEEDBACK CONTROLRATE OF CONVERGENCEREGIONSTABILITY PARAMETERShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. Two methods based on it are dealt with in this work. It is rigorously proven that for a nonlinear scalar system, stabilization in one of its (unstable) equilibrium points is achieved if any of these methods is applied. An ad-hoc map is associated to the (continuous) controlled system and the results are derived using discrete-time system stabilization tools. Moreover, the stability parameters region is fully described and issues like control performance, rate of convergence or robustness aspects are carefully analyzed.Fil: Pastor, Verónica E.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaFil: González, Graciela Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; ArgentinaElsevier2019-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/130458Pastor, Verónica E.; González, Graciela Adriana; Oscillating delayed feedback control schemes for stabilizing equilibrium points; Elsevier; Heliyon; 5; 6; 6-2019; 1-102405-8440CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://authors.elsevier.com/sd/article/S2405844018367276info:eu-repo/semantics/altIdentifier/doi/10.1016/j.heliyon.2019.e01952info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:09:45Zoai:ri.conicet.gov.ar:11336/130458instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:09:46.087CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Oscillating delayed feedback control schemes for stabilizing equilibrium points
title Oscillating delayed feedback control schemes for stabilizing equilibrium points
spellingShingle Oscillating delayed feedback control schemes for stabilizing equilibrium points
Pastor, Verónica E.
APPLIED MATHEMATICS
CONTROL PERFORMANCE
DELAY
MATHEMATICAL METHODS
OSCILLATING FEEDBACK CONTROL
RATE OF CONVERGENCE
REGION
STABILITY PARAMETERS
title_short Oscillating delayed feedback control schemes for stabilizing equilibrium points
title_full Oscillating delayed feedback control schemes for stabilizing equilibrium points
title_fullStr Oscillating delayed feedback control schemes for stabilizing equilibrium points
title_full_unstemmed Oscillating delayed feedback control schemes for stabilizing equilibrium points
title_sort Oscillating delayed feedback control schemes for stabilizing equilibrium points
dc.creator.none.fl_str_mv Pastor, Verónica E.
González, Graciela Adriana
author Pastor, Verónica E.
author_facet Pastor, Verónica E.
González, Graciela Adriana
author_role author
author2 González, Graciela Adriana
author2_role author
dc.subject.none.fl_str_mv APPLIED MATHEMATICS
CONTROL PERFORMANCE
DELAY
MATHEMATICAL METHODS
OSCILLATING FEEDBACK CONTROL
RATE OF CONVERGENCE
REGION
STABILITY PARAMETERS
topic APPLIED MATHEMATICS
CONTROL PERFORMANCE
DELAY
MATHEMATICAL METHODS
OSCILLATING FEEDBACK CONTROL
RATE OF CONVERGENCE
REGION
STABILITY PARAMETERS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. Two methods based on it are dealt with in this work. It is rigorously proven that for a nonlinear scalar system, stabilization in one of its (unstable) equilibrium points is achieved if any of these methods is applied. An ad-hoc map is associated to the (continuous) controlled system and the results are derived using discrete-time system stabilization tools. Moreover, the stability parameters region is fully described and issues like control performance, rate of convergence or robustness aspects are carefully analyzed.
Fil: Pastor, Verónica E.. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
Fil: González, Graciela Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina
description Limitations of the delayed feedback control and of its extended versions have been fully treated in the literature. The oscillating delayed feedback control appears as a promising scheme to overcome this problem. Two methods based on it are dealt with in this work. It is rigorously proven that for a nonlinear scalar system, stabilization in one of its (unstable) equilibrium points is achieved if any of these methods is applied. An ad-hoc map is associated to the (continuous) controlled system and the results are derived using discrete-time system stabilization tools. Moreover, the stability parameters region is fully described and issues like control performance, rate of convergence or robustness aspects are carefully analyzed.
publishDate 2019
dc.date.none.fl_str_mv 2019-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/130458
Pastor, Verónica E.; González, Graciela Adriana; Oscillating delayed feedback control schemes for stabilizing equilibrium points; Elsevier; Heliyon; 5; 6; 6-2019; 1-10
2405-8440
CONICET Digital
CONICET
url http://hdl.handle.net/11336/130458
identifier_str_mv Pastor, Verónica E.; González, Graciela Adriana; Oscillating delayed feedback control schemes for stabilizing equilibrium points; Elsevier; Heliyon; 5; 6; 6-2019; 1-10
2405-8440
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://authors.elsevier.com/sd/article/S2405844018367276
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.heliyon.2019.e01952
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613979184300032
score 13.070432

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