Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach

Detalhes bibliográficos
Autor(a) principal: Silvestre, Daniel
Data de Publicação: 2017
Outros Autores: Rosa, P., Hespanha, J.P., Silvestre, C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/11144/3428
Resumo: This paper addresses the problem of fault detection for linear parameter-varying systems in the presence of measurement noise and exogenous disturbances. The applicability of current methods is limited in the sense that, to increase accuracy, the detection requires a large number of past measurements and the boundedness of the set-valued estimates is only guaranteed for stable systems. In order to widen the class of systems to be modeled and also to reduce the associated computational cost, the aforementioned issues must be addressed. A solution involving left-coprime factorization and deadbeat observers is proposed in order to reduce the required number of past measurements without compromising accuracy and allowing the design of Set-Valued Observers (SVOs) for fault detection of unstable systems by using the resulting stable subsystems of the coprime factorization. The algorithm is shown to produce bounded set-valued estimates and an example is provided. Performance is assessed through simulations, illustrating, in particular that small-magnitude faults (compared to exogenous disturbances) can be detected under mild assumptions.
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spelling Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approachFault DetectionLinear Parameter-VaryingCoprime FactorizationDeadbeat ObserversThis paper addresses the problem of fault detection for linear parameter-varying systems in the presence of measurement noise and exogenous disturbances. The applicability of current methods is limited in the sense that, to increase accuracy, the detection requires a large number of past measurements and the boundedness of the set-valued estimates is only guaranteed for stable systems. In order to widen the class of systems to be modeled and also to reduce the associated computational cost, the aforementioned issues must be addressed. A solution involving left-coprime factorization and deadbeat observers is proposed in order to reduce the required number of past measurements without compromising accuracy and allowing the design of Set-Valued Observers (SVOs) for fault detection of unstable systems by using the resulting stable subsystems of the coprime factorization. The algorithm is shown to produce bounded set-valued estimates and an example is provided. Performance is assessed through simulations, illustrating, in particular that small-magnitude faults (compared to exogenous disturbances) can be detected under mild assumptions.Elsevier2018-02-07T11:49:58Z2017-08-01T00:00:00Z2017-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/11144/3428eng0167-691110.1016/j.sysconle.2017.05.007Silvestre, DanielRosa, P.Hespanha, J.P.Silvestre, C.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-08-01T02:07:28Zoai:repositorio.ual.pt:11144/3428Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-08-01T02:07:28Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
title Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
spellingShingle Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
Silvestre, Daniel
Fault Detection
Linear Parameter-Varying
Coprime Factorization
Deadbeat Observers
title_short Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
title_full Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
title_fullStr Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
title_full_unstemmed Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
title_sort Fault detection for LPV systems using Set-Valued Observers: A coprime factorization approach
author Silvestre, Daniel
author_facet Silvestre, Daniel
Rosa, P.
Hespanha, J.P.
Silvestre, C.
author_role author
author2 Rosa, P.
Hespanha, J.P.
Silvestre, C.
author2_role author
author
author
dc.contributor.author.fl_str_mv Silvestre, Daniel
Rosa, P.
Hespanha, J.P.
Silvestre, C.
dc.subject.por.fl_str_mv Fault Detection
Linear Parameter-Varying
Coprime Factorization
Deadbeat Observers
topic Fault Detection
Linear Parameter-Varying
Coprime Factorization
Deadbeat Observers
description This paper addresses the problem of fault detection for linear parameter-varying systems in the presence of measurement noise and exogenous disturbances. The applicability of current methods is limited in the sense that, to increase accuracy, the detection requires a large number of past measurements and the boundedness of the set-valued estimates is only guaranteed for stable systems. In order to widen the class of systems to be modeled and also to reduce the associated computational cost, the aforementioned issues must be addressed. A solution involving left-coprime factorization and deadbeat observers is proposed in order to reduce the required number of past measurements without compromising accuracy and allowing the design of Set-Valued Observers (SVOs) for fault detection of unstable systems by using the resulting stable subsystems of the coprime factorization. The algorithm is shown to produce bounded set-valued estimates and an example is provided. Performance is assessed through simulations, illustrating, in particular that small-magnitude faults (compared to exogenous disturbances) can be detected under mild assumptions.
publishDate 2017
dc.date.none.fl_str_mv 2017-08-01T00:00:00Z
2017-08
2018-02-07T11:49:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11144/3428
url http://hdl.handle.net/11144/3428
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0167-6911
10.1016/j.sysconle.2017.05.007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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