Limit cycles in relay systems with fractional order plants

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dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorYuce, Ali
dc.contributor.authorTan, Nusret
dc.contributor.authorAtherton, Derek P.
dc.date.accessioned2024-08-04T20:46:02Z
dc.date.available2024-08-04T20:46:02Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, limit cycle frequency, pulse width and stability analysis are examined using different methods for relay feedback nonlinear control systems with integer or fractional order plant transfer functions. The describing function (DF), A loci, a time domain method formulated in state space notation and Matlab/Simulink simulations are used for the analysis. Comparisons of the results of using these methods are given in several examples. In addition, the work has been extended to fractional order systems with time delay. Programs have been developed in the Matlab environment for all the theoretical methods. In particular, Matlab programs have been written to obtain a graphical solution for the A loci method, which can precisely calculate the limit cycle frequency. The developed solution methods are shown in various examples. The major contribution is to look at finding limit cycles for relay feedback systems having plants with a fractional order transfer function (FOTF). However, en route to this goal new assessments of limit cycle stability have been done for a rational plant transfer function plus a time delay.en_US
dc.description.sponsorshipScientific and Research Council of Turkey (TUBITAK) [EEEAG-115E388]en_US
dc.description.sponsorshipThe author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work is supported by the Scientific and Research Council of Turkey (TUBITAK) under Grant no. EEEAG-115E388.en_US
dc.identifier.doi10.1177/0142331219860302
dc.identifier.endpage4435en_US
dc.identifier.issn0142-3312
dc.identifier.issn1477-0369
dc.identifier.issue15en_US
dc.identifier.scopus2-s2.0-85068611975en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage4424en_US
dc.identifier.urihttps://doi.org/10.1177/0142331219860302
dc.identifier.urihttps://hdl.handle.net/11616/98862
dc.identifier.volume41en_US
dc.identifier.wosWOS:000480992300001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSage Publications Ltden_US
dc.relation.ispartofTransactions of The Institute of Measurement and Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear systemsen_US
dc.subjectfractional order systemsen_US
dc.subjectrelay systemsen_US
dc.subjectlimit cycleen_US
dc.subjectA locien_US
dc.titleLimit cycles in relay systems with fractional order plantsen_US
dc.typeArticleen_US

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