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

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dc.contributor.author Atherton, Derek P.
dc.contributor.author Tan, Nusret
dc.contributor.author Yeroğlu, Celaleddin
dc.contributor.author Kavuran, Gürkan
dc.contributor.author Yüce, Ali
dc.date.accessioned 2020-07-14T08:33:15Z
dc.date.available 2020-07-14T08:33:15Z
dc.date.issued 2014
dc.identifier.citation Atherton, D. P., Tan, N., Yeroglu, C., Kavuran, G., Yuce, A. Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants. (2014). tr_TR
dc.identifier.isbn 978-1-4799-2591-9
dc.identifier.issn 2471-612X
dc.identifier.uri http://abakus.inonu.edu.tr/xmlui/handle/123456789/16857
dc.description 2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA) Edited by:Baleanu, D; Machado, JAT Book Series: International Conference on Fractional Differentiation and Its Applications Published: 2014 Document Type:Proceedings Paper Conference Conference: International Conference on Fractional Differentiation and its Applications (ICFDA) Location: Catania, ITALY Date: JUN 23-25, 2014 Sponsor(s):Univ 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 Soc tr_TR
dc.description.abstract The 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. tr_TR
dc.language.iso en tr_TR
dc.publisher IEEE tr_TR
dc.subject Typskin Locus tr_TR
dc.subject nonlinear systems with fractional order plants tr_TR
dc.subject limit cycles tr_TR
dc.subject describing function tr_TR
dc.subject fractional order systems tr_TR
dc.subject A function tr_TR
dc.title Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants tr_TR
dc.type Article tr_TR


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