Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants

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dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authoridKavuran, Gurkan/0000-0003-2651-5005
dc.authoridYeroglu, Celaleddin/0000-0002-6106-2374
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.authorwosidYeroglu, Celaleddin/ABG-9572-2020
dc.authorwosidKavuran, Gurkan/S-6935-2016
dc.contributor.authorAtherton, Derek P.
dc.contributor.authorTan, Nusret
dc.contributor.authorYeroglu, Celaleddin
dc.contributor.authorKavuran, Gurkan
dc.contributor.authorYuce, Ali
dc.date.accessioned2024-08-04T20:39:59Z
dc.date.available2024-08-04T20:39:59Z
dc.date.issued2014
dc.departmentİnönü Üniversitesien_US
dc.descriptionInternational Conference on Fractional Differentiation and its Applications (ICFDA) -- JUN 23-25, 2014 -- Catania, ITALYen_US
dc.description.abstractThe paper deals with an aspect of the analysis of nonlinear feedback control systems with a fractional order transfer function. A review of the classical describing function (DF) method is given and its application to a control system with a fractional order plant is demonstrated. Unlike the DF method the frequency domain approach of Tsypkin is known to give exact results for limit cycles in relay systems and it is shown that this approach extends to systems with fractional order transfer functions. The formulation is done in terms of A loci which are related to and more general than the Tsypkin loci. Programs have been developed in MATLAB to compute the limit cycle frequency and also to show the results graphically. Examples are provided to illustrate the approach for a relay with no dead zone.en_US
dc.description.sponsorshipUniv Studi Catania,Home Ind & Bldg Automat Syst,Schneider Elect,IEEE Italian Chapters,IEEE Instrumentat & Measurement Soc,Nucl & Plasma Sci Soc,IEEE Control Syst Soc,Circuits & Syst Socen_US
dc.identifier.isbn978-1-4799-2591-9
dc.identifier.issn2471-612X
dc.identifier.scopus2-s2.0-84918506934en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11616/96626
dc.identifier.wosWOS:000411493600049en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIeeeen_US
dc.relation.ispartof2014 International Conference on Fractional Differentiation and Its Applications (Icfda)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTypskin Locusen_US
dc.subjectA functionen_US
dc.subjectfractional order systemsen_US
dc.subjectnonlinear systems with fractional order plantsen_US
dc.subjectdescribing functionen_US
dc.subjectlimit cyclesen_US
dc.titleComputation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plantsen_US
dc.typeConference Objecten_US

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