On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability

Autores
Haimovich, Hernan; Osella, Esteban Nahuel
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized controller/scheduler is in charge of the control of several processes and also of administering access to the shared communications network. In this setting, the controller may perform on-line variations of the sampling rate of all processes in order to accommodate for new processes requiring access to the network and to maximize performance when processes finish operation. We refer to this setting as controller-driven varying-sampling-rate (VSR). We regard a continuous-time system sampled at varying rates as a discrete-time switched system (DTSS), and aim at devising sampling-rate dependent feedback to ensure stability irrespective of the way in which the sampling rate is varied. Our feedback design strategy is based on Lie-algebraic solvability. The current paper presents two main contributions: a) it demonstrates that control design based on Lie-algebraic solvability is much less restrictive when applied to the controller-driven VSR setting than when applied to DTSSs of arbitrary form, and b) we give sufficient conditions for the stabilizability of the VSR-DTSS by means of the Lie-algebraic-solvability condition. As opposed to previous results, these sufficient conditions do not impose a restriction on the number of subsystems of the DTSS.
Fil: Haimovich, Hernan. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; . Universidad de Buenos Aires. Facultad de Cs.exactas y Naturales. Departamento de Fisica. Laboratorio de Sistemas Dinamicos; Argentina
Materia
NETWORKED CONTROL SYSTEMS
SIMULTANEOUS TRIANGULARIZATION
SOLVABLE LIE ALGEBRAS
STABILITY
SWITCHED SYSTEMS
VARYING SAMPLING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/1432
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/1432
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvabilityHaimovich, HernanOsella, Esteban NahuelNETWORKED CONTROL SYSTEMSSIMULTANEOUS TRIANGULARIZATIONSOLVABLE LIE ALGEBRASSTABILITYSWITCHED SYSTEMSVARYING SAMPLINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized controller/scheduler is in charge of the control of several processes and also of administering access to the shared communications network. In this setting, the controller may perform on-line variations of the sampling rate of all processes in order to accommodate for new processes requiring access to the network and to maximize performance when processes finish operation. We refer to this setting as controller-driven varying-sampling-rate (VSR). We regard a continuous-time system sampled at varying rates as a discrete-time switched system (DTSS), and aim at devising sampling-rate dependent feedback to ensure stability irrespective of the way in which the sampling rate is varied. Our feedback design strategy is based on Lie-algebraic solvability. The current paper presents two main contributions: a) it demonstrates that control design based on Lie-algebraic solvability is much less restrictive when applied to the controller-driven VSR setting than when applied to DTSSs of arbitrary form, and b) we give sufficient conditions for the stabilizability of the VSR-DTSS by means of the Lie-algebraic-solvability condition. As opposed to previous results, these sufficient conditions do not impose a restriction on the number of subsystems of the DTSS.Fil: Haimovich, Hernan. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; . Universidad de Buenos Aires. Facultad de Cs.exactas y Naturales. Departamento de Fisica. Laboratorio de Sistemas Dinamicos; ArgentinaElsevier2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/1432Haimovich, Hernan; Osella, Esteban Nahuel; On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability; Elsevier; Nonlinear Analysis: Hybrid Systems; 7; 1; 1-2013; 28-381751-570Xenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.nahs.2012.04.001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:36:02Zoai:ri.conicet.gov.ar:11336/1432instacron: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 10:36:03.184CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
title On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
spellingShingle On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
Haimovich, Hernan
NETWORKED CONTROL SYSTEMS
SIMULTANEOUS TRIANGULARIZATION
SOLVABLE LIE ALGEBRAS
STABILITY
SWITCHED SYSTEMS
VARYING SAMPLING
title_short On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
title_full On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
title_fullStr On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
title_full_unstemmed On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
title_sort On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability
dc.creator.none.fl_str_mv Haimovich, Hernan
Osella, Esteban Nahuel
author Haimovich, Hernan
author_facet Haimovich, Hernan
Osella, Esteban Nahuel
author_role author
author2 Osella, Esteban Nahuel
author2_role author
dc.subject.none.fl_str_mv NETWORKED CONTROL SYSTEMS
SIMULTANEOUS TRIANGULARIZATION
SOLVABLE LIE ALGEBRAS
STABILITY
SWITCHED SYSTEMS
VARYING SAMPLING
topic NETWORKED CONTROL SYSTEMS
SIMULTANEOUS TRIANGULARIZATION
SOLVABLE LIE ALGEBRAS
STABILITY
SWITCHED SYSTEMS
VARYING SAMPLING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized controller/scheduler is in charge of the control of several processes and also of administering access to the shared communications network. In this setting, the controller may perform on-line variations of the sampling rate of all processes in order to accommodate for new processes requiring access to the network and to maximize performance when processes finish operation. We refer to this setting as controller-driven varying-sampling-rate (VSR). We regard a continuous-time system sampled at varying rates as a discrete-time switched system (DTSS), and aim at devising sampling-rate dependent feedback to ensure stability irrespective of the way in which the sampling rate is varied. Our feedback design strategy is based on Lie-algebraic solvability. The current paper presents two main contributions: a) it demonstrates that control design based on Lie-algebraic solvability is much less restrictive when applied to the controller-driven VSR setting than when applied to DTSSs of arbitrary form, and b) we give sufficient conditions for the stabilizability of the VSR-DTSS by means of the Lie-algebraic-solvability condition. As opposed to previous results, these sufficient conditions do not impose a restriction on the number of subsystems of the DTSS.
Fil: Haimovich, Hernan. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingenieria y Agrimensura. Escuela de Ingenieria Electronica. Departamento de Control; . Universidad de Buenos Aires. Facultad de Cs.exactas y Naturales. Departamento de Fisica. Laboratorio de Sistemas Dinamicos; Argentina
description Control systems involving shared communications networks are becoming ubiquitous. The inclusion of a communications network within a feedback loop imposes new control challenges. We consider a setting where a centralized controller/scheduler is in charge of the control of several processes and also of administering access to the shared communications network. In this setting, the controller may perform on-line variations of the sampling rate of all processes in order to accommodate for new processes requiring access to the network and to maximize performance when processes finish operation. We refer to this setting as controller-driven varying-sampling-rate (VSR). We regard a continuous-time system sampled at varying rates as a discrete-time switched system (DTSS), and aim at devising sampling-rate dependent feedback to ensure stability irrespective of the way in which the sampling rate is varied. Our feedback design strategy is based on Lie-algebraic solvability. The current paper presents two main contributions: a) it demonstrates that control design based on Lie-algebraic solvability is much less restrictive when applied to the controller-driven VSR setting than when applied to DTSSs of arbitrary form, and b) we give sufficient conditions for the stabilizability of the VSR-DTSS by means of the Lie-algebraic-solvability condition. As opposed to previous results, these sufficient conditions do not impose a restriction on the number of subsystems of the DTSS.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
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/11336/1432
Haimovich, Hernan; Osella, Esteban Nahuel; On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability; Elsevier; Nonlinear Analysis: Hybrid Systems; 7; 1; 1-2013; 28-38
1751-570X
url http://hdl.handle.net/11336/1432
identifier_str_mv Haimovich, Hernan; Osella, Esteban Nahuel; On controller-driven varying-sampling-rate stabilization via Lie-algebraic solvability; Elsevier; Nonlinear Analysis: Hybrid Systems; 7; 1; 1-2013; 28-38
1751-570X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.nahs.2012.04.001
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/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
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score 13.070432

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