Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems

© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/

Detalles Bibliográficos
Autores: Wang, Ye|||0000-0003-1395-1676, Puig Cayuela, Vicenç|||0000-0002-6364-6429, Cembrano Gennari, Gabriela|||0000-0003-1436-6022
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/120598
Acceso en línea:https://hdl.handle.net/2117/120598
https://dx.doi.org/10.1016/j.automatica.2018.03.082
Access Level:acceso abierto
Palabra clave:Set-membership approach
Kalman observer
Zonotopes
Discrete-time descriptor systems
Unknown inputs
Classificació INSPEC::Automation
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
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spelling Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systemsWang, Ye|||0000-0003-1395-1676Puig Cayuela, Vicenç|||0000-0002-6364-6429Cembrano Gennari, Gabriela|||0000-0003-1436-6022Set-membership approachKalman observerZonotopesDiscrete-time descriptor systemsUnknown inputsClassificació INSPEC::AutomationÀrees temàtiques de la UPC::Informàtica::Automàtica i control© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/This paper proposes a set-membership state estimator and a zonotopic Kalman observer for discrete-time descriptor systems. Both approaches are developed in a set-based context considering system disturbances, measurement noise, and unknown inputs. This set-membership state estimation approach determines the set of consistent states with the model and measurements by constructing a parameterized intersection zonotope. Two methods to minimize the size of this intersection zonotope are provided: one inspired by Kalman filtering and the other based on solving an optimization problem involving a series of linear matrix inequalities. Additionally, we propose a zonotopic Kalman observer for discrete-time descriptor systems. Moreover, the relationship between both approaches is discussed. In particular, it is proved that the zonotopic Kalman observer in the current estimation type is equivalent to the set-membership approach. Finally, a numerical example is used to illustrate and compare the effectiveness of the proposed approaches.Peer Reviewed20182018-07-0120182018-08-27journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/120598https://dx.doi.org/10.1016/j.automatica.2018.03.082reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 DPI2013-48243-C2-1-R OPERACION EFICIENTE DE INFRAESTRUCTURAS CRITICASopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1205982026-05-27T15:37:01Z
dc.title.none.fl_str_mv Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
title Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
spellingShingle Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
Wang, Ye|||0000-0003-1395-1676
Set-membership approach
Kalman observer
Zonotopes
Discrete-time descriptor systems
Unknown inputs
Classificació INSPEC::Automation
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
title_short Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
title_full Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
title_fullStr Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
title_full_unstemmed Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
title_sort Set-membership approach and Kalman observer based on zonotopes for discrete-time descriptor systems
dc.creator.none.fl_str_mv Wang, Ye|||0000-0003-1395-1676
Puig Cayuela, Vicenç|||0000-0002-6364-6429
Cembrano Gennari, Gabriela|||0000-0003-1436-6022
author Wang, Ye|||0000-0003-1395-1676
author_facet Wang, Ye|||0000-0003-1395-1676
Puig Cayuela, Vicenç|||0000-0002-6364-6429
Cembrano Gennari, Gabriela|||0000-0003-1436-6022
author_role author
author2 Puig Cayuela, Vicenç|||0000-0002-6364-6429
Cembrano Gennari, Gabriela|||0000-0003-1436-6022
author2_role author
author
dc.subject.none.fl_str_mv Set-membership approach
Kalman observer
Zonotopes
Discrete-time descriptor systems
Unknown inputs
Classificació INSPEC::Automation
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
topic Set-membership approach
Kalman observer
Zonotopes
Discrete-time descriptor systems
Unknown inputs
Classificació INSPEC::Automation
Àrees temàtiques de la UPC::Informàtica::Automàtica i control
description © <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-07-01
2018
2018-08-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/120598
https://dx.doi.org/10.1016/j.automatica.2018.03.082
url https://hdl.handle.net/2117/120598
https://dx.doi.org/10.1016/j.automatica.2018.03.082
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 http://doi.org/10.13039/501100003329 DPI2013-48243-C2-1-R OPERACION EFICIENTE DE INFRAESTRUCTURAS CRITICAS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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