Fractional order proportional derivative control for time delay plant of the second order: The frequency frame

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dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authorwosidMatuš?, Radek/H-6355-2012
dc.authorwosidMatuš?, Radek/HPH-8692-2023
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorSenol, Bilal
dc.contributor.authorDemiroglu, Ugur
dc.contributor.authorMatusu, Radek
dc.date.accessioned2024-08-04T20:48:44Z
dc.date.available2024-08-04T20:48:44Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper intends to tune fractional order proportional derivative controller for the performance, stability and robustness of second order plus time delay plant. The tuning method is based on the previously proposed frequency frame which is a rectangular frame enclosing gain and phase margins limited with gain and phase crossover frequencies in the Bode plot. Edges of the frame are tuned to achieve desired crossover frequencies and margins. By shaping the curves of the Bode plot, improvements are observed in the performance and robustness of the second order plus time delay system controlled by a fractional order proportional derivative controller. Generalized equations to obtain the parameters of the fractional order proportional derivative controller for second order plus time delay plant are given. In contrast to existing studies, this method reduces mathematical complexity when providing desired properties. Three examples are considered and effectiveness of the frequency frame is shown. (c) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.jfranklin.2020.06.016
dc.identifier.endpage7961en_US
dc.identifier.issn0016-0032
dc.identifier.issn1879-2693
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85087681230en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage7944en_US
dc.identifier.urihttps://doi.org/10.1016/j.jfranklin.2020.06.016
dc.identifier.urihttps://hdl.handle.net/11616/99403
dc.identifier.volume357en_US
dc.identifier.wosWOS:000555766800005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofJournal of The Franklin Institute-Engineering and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRobust Stabilityen_US
dc.subjectTuning Methoden_US
dc.subjectSystemsen_US
dc.subjectPhaseen_US
dc.subjectGainen_US
dc.titleFractional order proportional derivative control for time delay plant of the second order: The frequency frameen_US
dc.typeArticleen_US

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