A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor

Detalhes bibliográficos
Autor(a) principal: Chen, Liping
Data de Publicação: 2020
Outros Autores: Chen, Gang, Li, Penghua, Lopes, António M., Machado, J. A. Tenreiro, Xu, Shuiqing
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/18636
Resumo: The time-domain approximation of the Grünwald–Letnikov fractional derivative is intuitive and widely adopted in the design of fractional-order proportional-integral (FOPI) controllers. To solve the accuracy reduction caused by truncating the series, an optimized discrete FOPI is presented. The effectiveness of the new FOPI is highlighted and compared with the one exhibited by a controller implemented based on the Oustaloup method. Furthermore, to improve the performance of the FOPI, a variable-order fractional proportional-integral (VFPI) controller is proposed. The response of the VFPI is verified in the control of a permanent magnet synchronous motor. Simulation and experimental results show the superior performance of the VFPI.
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spelling A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motorFractional-order PI controllerPermanent magnet synchronous motorStabilityThe time-domain approximation of the Grünwald–Letnikov fractional derivative is intuitive and widely adopted in the design of fractional-order proportional-integral (FOPI) controllers. To solve the accuracy reduction caused by truncating the series, an optimized discrete FOPI is presented. The effectiveness of the new FOPI is highlighted and compared with the one exhibited by a controller implemented based on the Oustaloup method. Furthermore, to improve the performance of the FOPI, a variable-order fractional proportional-integral (VFPI) controller is proposed. The response of the VFPI is verified in the control of a permanent magnet synchronous motor. Simulation and experimental results show the superior performance of the VFPI.The authors would like to express their deep gratitude to the Editors and the anonymous referees for their helpful comments and suggestions, which have greatly improved the paper. This work was supported by the National Natural Science Funds of China (No. 11971032), the Fundamental Research Funds for the Central Universities (No. JZ2019HGTB0090), Ministry of Education China Mobile Research Fund (MCM20180404) and Chongqing Basic Research and Frontier Exploration Project (cstc2018jcyjAX0167).ElsevierRepositório Científico do Instituto Politécnico do PortoChen, LipingChen, GangLi, PenghuaLopes, António M.Machado, J. A. TenreiroXu, Shuiqing2021-10-01T08:58:20Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/18636eng10.1016/j.aej.2020.08.046info: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:RCAAP2023-03-13T13:10:47Zoai:recipp.ipp.pt:10400.22/18636Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:38:11.575147Repositório 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 A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
title A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
spellingShingle A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
Chen, Liping
Fractional-order PI controller
Permanent magnet synchronous motor
Stability
title_short A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
title_full A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
title_fullStr A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
title_full_unstemmed A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
title_sort A variable-order fractional proportional-integral controller and its application to a permanent magnet synchronous motor
author Chen, Liping
author_facet Chen, Liping
Chen, Gang
Li, Penghua
Lopes, António M.
Machado, J. A. Tenreiro
Xu, Shuiqing
author_role author
author2 Chen, Gang
Li, Penghua
Lopes, António M.
Machado, J. A. Tenreiro
Xu, Shuiqing
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Chen, Liping
Chen, Gang
Li, Penghua
Lopes, António M.
Machado, J. A. Tenreiro
Xu, Shuiqing
dc.subject.por.fl_str_mv Fractional-order PI controller
Permanent magnet synchronous motor
Stability
topic Fractional-order PI controller
Permanent magnet synchronous motor
Stability
description The time-domain approximation of the Grünwald–Letnikov fractional derivative is intuitive and widely adopted in the design of fractional-order proportional-integral (FOPI) controllers. To solve the accuracy reduction caused by truncating the series, an optimized discrete FOPI is presented. The effectiveness of the new FOPI is highlighted and compared with the one exhibited by a controller implemented based on the Oustaloup method. Furthermore, to improve the performance of the FOPI, a variable-order fractional proportional-integral (VFPI) controller is proposed. The response of the VFPI is verified in the control of a permanent magnet synchronous motor. Simulation and experimental results show the superior performance of the VFPI.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
2021-10-01T08:58:20Z
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/10400.22/18636
url http://hdl.handle.net/10400.22/18636
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1016/j.aej.2020.08.046
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
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