Note on describing function analysis of fractional order nonlinear control systems

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dc.authorscopusid9942236000
dc.authorscopusid7202696962
dc.contributor.authorYeroglu C.
dc.contributor.authorTan N.
dc.date.accessioned2024-08-04T19:59:23Z
dc.date.available2024-08-04T19:59:23Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper presents extensions of some results, obtained for the analysis of classical nonlinear control systems, to the nonlinear fractional order systems. It is shown that the results related to limit cycle prediction using describing function method can be applied to the fractional order plants. The frequency and the amplitude of the limit cycle are used for auto-tuning of the PID controller for nonlinear control systems with fractional order transfer functions. Fractional order control system with parametric uncertainty is also considered for the nonlinear case. On the other hand, a new method is provided for stability margin computation for fractional order nonlinear control system with parametric uncertainty structure using the Nyquist envelopes of the fractional order uncertain plant and the describing function that represents the nonlinearity of the system. Maximum perturbation bounds of the parameters of the fractional order plant are computed. Numerical examples are included to illustrate the methods presented.en_US
dc.identifier.endpage255en_US
dc.identifier.issn0324-8569
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85018838439en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage233en_US
dc.identifier.urihttps://hdl.handle.net/11616/90589
dc.identifier.volume44en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSystems Research Instituteen_US
dc.relation.ispartofControl and Cyberneticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDescribing functionen_US
dc.subjectFractional order controlen_US
dc.subjectLimit cycleen_US
dc.subjectNonlinear systemsen_US
dc.subjectRelay auto-tuningen_US
dc.subjectStability marginen_US
dc.titleNote on describing function analysis of fractional order nonlinear control systemsen_US
dc.typeArticleen_US

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