Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection

In this paper, we study robust invariant set characterizations of discrete-time descriptor systems and propose an active mode detection mechanism for discrete-time descriptor systems considering multiple modes of operation. The considered class of descriptor systems assumes regularity, stability and...

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Detalles Bibliográficos
Autores: Wang, Ye, Olaru, Sorin, Valmorbida, Giorgio, Puig, Vicenç, Cembrano, Gabriela
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/202467
Acceso en línea:http://hdl.handle.net/10261/202467
Access Level:acceso abierto
Palabra clave:Robust invariant sets
Active mode detectionInput design
Set separation
Discrete-time descriptor systems
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spelling Set-invariance characterizations of discrete-time descriptor systems with application to active mode detectionWang, YeOlaru, SorinValmorbida, GiorgioPuig, VicençCembrano, GabrielaRobust invariant setsActive mode detectionInput designSet separationDiscrete-time descriptor systemsIn this paper, we study robust invariant set characterizations of discrete-time descriptor systems and propose an active mode detection mechanism for discrete-time descriptor systems considering multiple modes of operation. The considered class of descriptor systems assumes regularity, stability and is affected by unknown-but-bounded disturbances. As a first theoretical result, we establish a general framework for robust invariant sets for discrete-time descriptor systems in both causal and non-causal cases. Particular transformations are subsequently proposed for handling causal and non-causal descriptor systems and will be used to characterize the effects of disturbances. Based on these set-theoretic notions and a designed input signal for active set separations, we propose an active mode detection mechanism by exploiting the strong invariance properties.This work was partially funded by the Spanish State Research Agency (AEI) and the European Regional Development Fund (ERFD) through the project DEOCS (ref. DPI2016-76493-C3-3-R), the FPI grant (ref. BES-2014-068319), the FPI mobility grants (ref. EEBB-I-17-12257 and EEBB-I-18-12900), and by a grant of Ministry of Research and Innovation, CNCS - UEFISCDI, Romania project number PN-III-P1-1.1-TE-2016-0862, MOSCBIOS, within PNCDI III.Elsevier BVEuropean CommissionMinisterio de Economía y Competitividad (España)Ministry of Education and Research (Romania)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2020202020192020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/202467reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2016-76493-C3-3-Rinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2013-48243-C2-1-Rhttp://dx.doi.org/10.1016/j.automatica.2019.05.053Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2024672026-05-22T06:33:51Z
dc.title.none.fl_str_mv Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
title Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
spellingShingle Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
Wang, Ye
Robust invariant sets
Active mode detectionInput design
Set separation
Discrete-time descriptor systems
title_short Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
title_full Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
title_fullStr Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
title_full_unstemmed Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
title_sort Set-invariance characterizations of discrete-time descriptor systems with application to active mode detection
dc.creator.none.fl_str_mv Wang, Ye
Olaru, Sorin
Valmorbida, Giorgio
Puig, Vicenç
Cembrano, Gabriela
author Wang, Ye
author_facet Wang, Ye
Olaru, Sorin
Valmorbida, Giorgio
Puig, Vicenç
Cembrano, Gabriela
author_role author
author2 Olaru, Sorin
Valmorbida, Giorgio
Puig, Vicenç
Cembrano, Gabriela
author2_role author
author
author
author
dc.contributor.none.fl_str_mv European Commission
Ministerio de Economía y Competitividad (España)
Ministry of Education and Research (Romania)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Robust invariant sets
Active mode detectionInput design
Set separation
Discrete-time descriptor systems
topic Robust invariant sets
Active mode detectionInput design
Set separation
Discrete-time descriptor systems
description In this paper, we study robust invariant set characterizations of discrete-time descriptor systems and propose an active mode detection mechanism for discrete-time descriptor systems considering multiple modes of operation. The considered class of descriptor systems assumes regularity, stability and is affected by unknown-but-bounded disturbances. As a first theoretical result, we establish a general framework for robust invariant sets for discrete-time descriptor systems in both causal and non-causal cases. Particular transformations are subsequently proposed for handling causal and non-causal descriptor systems and will be used to characterize the effects of disturbances. Based on these set-theoretic notions and a designed input signal for active set separations, we propose an active mode detection mechanism by exploiting the strong invariance properties.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/202467
url http://hdl.handle.net/10261/202467
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2016-76493-C3-3-R
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/DPI2013-48243-C2-1-R
http://dx.doi.org/10.1016/j.automatica.2019.05.053
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier BV
publisher.none.fl_str_mv Elsevier BV
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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