Limit cycle prediction for fractional order systems with static -onlinearities

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dc.authorscopusid9942236000
dc.authorscopusid7202696962
dc.contributor.authorYeroglu C.
dc.contributor.authorTan N.
dc.date.accessioned2024-08-04T20:02:26Z
dc.date.available2024-08-04T20:02:26Z
dc.date.issued2010
dc.departmentİnönü Üniversitesien_US
dc.descriptionInternational Federation of Automatic Control (IFAC)en_US
dc.descriptionIFAC International Workshop on Periodic Control Systems, PSYCO 2010 -- 26 August 2010 through 28 August 2010 -- Antalya -- 105495en_US
dc.description.abstractThis paper deals with limit cycle prediction for nonlinear systems which have fractional order transfer functions. Describing function method is used for the analysis of fractional order nonlinear systems. It is observed that the limit cycle frequencies obtained from the simulation of the fractional order nonlinear systems, agree with the theoretical values of the limit cycle frequencies obtained from Nyquist plots of the fractional order plant and complex plot of the negative inverse of describing function. The critical gain of the system is estimated from Nyquist plot. The fractional order nonlinear system becomes stable for the gain smaller than the critical gain value. System starts to oscillate for the gain bigger than the critical gain value. © 2010 IFAC.en_US
dc.identifier.doi10.3182/20100826-3-tr-4016.00029
dc.identifier.endpage149en_US
dc.identifier.isbn9783902661869
dc.identifier.issn1474-6670
dc.identifier.issuePART 1en_US
dc.identifier.scopus2-s2.0-84901945656en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage144en_US
dc.identifier.urihttps://doi.org/10.3182/20100826-3-tr-4016.00029
dc.identifier.urihttps://hdl.handle.net/11616/91682
dc.identifier.volume4en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIFAC Secretariaten_US
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDescribing functionen_US
dc.subjectFractional order systemsen_US
dc.subjectLimit cycleen_US
dc.subjectNonlinear systemsen_US
dc.subjectNyquist ploten_US
dc.titleLimit cycle prediction for fractional order systems with static -onlinearitiesen_US
dc.typeConference Objecten_US

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