Discretization of complex-order algorithms for control applications

Detalhes bibliográficos
Autor(a) principal: Barbosa, Ramiro S.
Data de Publicação: 2008
Outros Autores: Machado, J. A. Tenreiro, Silva, Manuel F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/4590
Resumo: In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.
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spelling Discretization of complex-order algorithms for control applicationsFractional calculusDiscretizationComplex-order differintegralsConjugated-order differintegralsFractional-order controlIn this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.SAGE PublicationsRepositório Científico do Instituto Politécnico do PortoBarbosa, Ramiro S.Machado, J. A. TenreiroSilva, Manuel F.2014-06-25T14:43:14Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4590eng1077-546310.1177/1077546307087445metadata only accessinfo: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:RCAAP2023-03-13T12:44:41Zoai:recipp.ipp.pt:10400.22/4590Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:24.840312Repositório 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 Discretization of complex-order algorithms for control applications
title Discretization of complex-order algorithms for control applications
spellingShingle Discretization of complex-order algorithms for control applications
Barbosa, Ramiro S.
Fractional calculus
Discretization
Complex-order differintegrals
Conjugated-order differintegrals
Fractional-order control
title_short Discretization of complex-order algorithms for control applications
title_full Discretization of complex-order algorithms for control applications
title_fullStr Discretization of complex-order algorithms for control applications
title_full_unstemmed Discretization of complex-order algorithms for control applications
title_sort Discretization of complex-order algorithms for control applications
author Barbosa, Ramiro S.
author_facet Barbosa, Ramiro S.
Machado, J. A. Tenreiro
Silva, Manuel F.
author_role author
author2 Machado, J. A. Tenreiro
Silva, Manuel F.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Barbosa, Ramiro S.
Machado, J. A. Tenreiro
Silva, Manuel F.
dc.subject.por.fl_str_mv Fractional calculus
Discretization
Complex-order differintegrals
Conjugated-order differintegrals
Fractional-order control
topic Fractional calculus
Discretization
Complex-order differintegrals
Conjugated-order differintegrals
Fractional-order control
description In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2014-06-25T14:43:14Z
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/10400.22/4590
url http://hdl.handle.net/10400.22/4590
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1077-5463
10.1177/1077546307087445
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SAGE Publications
publisher.none.fl_str_mv SAGE Publications
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
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