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

Bibliographic Details
Main Author: Chen, Liping
Publication Date: 2020
Other Authors: Chen, Gang, Li, Penghua, Lopes, António M., Machado, J. A. Tenreiro, Xu, Shuiqing
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/18636
Summary: 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.ElsevierREPOSITÓRIO P.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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:22:46Zoai:recipp.ipp.pt:10400.22/18636Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:53:34.815248Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 P.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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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