Limit Cycle Prediction of Systems with Fractional Controllers and Backlash

Detalhes bibliográficos
Autor(a) principal: Barbosa, Ramiro S.
Data de Publicação: 2015
Outros Autores: Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/6960
Resumo: This article investigates the limit cycle (LC) prediction of systems with backlash by means of the describing function (DF) when using discrete fractional-order (FO) algorithms. The DF is an approximate method that gives good estimates of LCs. The implementation of FO controllers requires the use of rational approximations, but such realizations produce distinct dynamic types of behavior. This study analyzes the accuracy in the prediction of LCs, namely their amplitude and frequency, when using several different algorithms. To illustrate this problem we use FO-PID algorithms in the control of systems with backlash.
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spelling Limit Cycle Prediction of Systems with Fractional Controllers and BacklashFractional-order controlNonlinear systemsDescribing functionLimit-cycle predictionBacklashThis article investigates the limit cycle (LC) prediction of systems with backlash by means of the describing function (DF) when using discrete fractional-order (FO) algorithms. The DF is an approximate method that gives good estimates of LCs. The implementation of FO controllers requires the use of rational approximations, but such realizations produce distinct dynamic types of behavior. This study analyzes the accuracy in the prediction of LCs, namely their amplitude and frequency, when using several different algorithms. To illustrate this problem we use FO-PID algorithms in the control of systems with backlash.SAGE journalsRepositório Científico do Instituto Politécnico do PortoBarbosa, Ramiro S.Machado, J. A. Tenreiro2015-11-20T11:41:01Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/6960eng10.1177/1077546315581572info: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:RCAAP2023-03-13T12:47:16Zoai:recipp.ipp.pt:10400.22/6960Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:27:23.226577Repositório 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 Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
title Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
spellingShingle Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
Barbosa, Ramiro S.
Fractional-order control
Nonlinear systems
Describing function
Limit-cycle prediction
Backlash
title_short Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
title_full Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
title_fullStr Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
title_full_unstemmed Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
title_sort Limit Cycle Prediction of Systems with Fractional Controllers and Backlash
author Barbosa, Ramiro S.
author_facet Barbosa, Ramiro S.
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role 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
dc.subject.por.fl_str_mv Fractional-order control
Nonlinear systems
Describing function
Limit-cycle prediction
Backlash
topic Fractional-order control
Nonlinear systems
Describing function
Limit-cycle prediction
Backlash
description This article investigates the limit cycle (LC) prediction of systems with backlash by means of the describing function (DF) when using discrete fractional-order (FO) algorithms. The DF is an approximate method that gives good estimates of LCs. The implementation of FO controllers requires the use of rational approximations, but such realizations produce distinct dynamic types of behavior. This study analyzes the accuracy in the prediction of LCs, namely their amplitude and frequency, when using several different algorithms. To illustrate this problem we use FO-PID algorithms in the control of systems with backlash.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-20T11:41:01Z
2015
2015-01-01T00:00:00Z
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/10400.22/6960
url http://hdl.handle.net/10400.22/6960
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1177/1077546315581572
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 SAGE journals
publisher.none.fl_str_mv SAGE journals
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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