Calculation of all stabilizing fractional-order PD controllers for integrating time delay systems

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dc.authoridKoksal, Muhammet/0000-0002-2663-9115
dc.authoridHAMAMCI, Serdar Ethem/0000-0002-1868-6843
dc.authorwosidKoksal, Muhammet/ABI-8271-2020
dc.authorwosidHAMAMCI, Serdar Ethem/H-4517-2011
dc.contributor.authorHamamci, Serdar Ethem
dc.contributor.authorKoksal, Muhammet
dc.date.accessioned2024-08-04T20:32:17Z
dc.date.available2024-08-04T20:32:17Z
dc.date.issued2010
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a simple and effective stabilization method for integrating time delay systems using fractional order PD controllers C(s) = k(p) k(d)s(mu) is proposed. The presented method is based on finding the stability regions according to the fractional orders of the derivative element in the range of (0, 2). These regions are computed by using three stability boundaries: Real Root Boundary (RRB), Complex Root Boundary (CRB) and Infinite Root Boundary (IRB). The method gives the explicit formulae corresponding to these boundaries in terms of fractional order PD controller (PD(mu) controller) parameters. Thus, the complete set of stabilizing controllers for an arbitrary integrating time delay system can be obtained. In order to demonstrate the effectiveness in solution accuracy and the simplicity of this method, two simulation studies are given. The simulation results indicate that the PD(mu) controllers can provide larger stability regions than the integer order PD controllers. (C) 2009 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.camwa.2009.08.049
dc.identifier.endpage1629en_US
dc.identifier.issn0898-1221
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-76449108941en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1621en_US
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2009.08.049
dc.identifier.urihttps://hdl.handle.net/11616/94976
dc.identifier.volume59en_US
dc.identifier.wosWOS:000275971300006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofComputers & Mathematics With Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional-order controlen_US
dc.subjectPD controllersen_US
dc.subjectIntegrating systemsen_US
dc.subjectTime delayen_US
dc.subjectStabilizationen_US
dc.titleCalculation of all stabilizing fractional-order PD controllers for integrating time delay systemsen_US
dc.typeArticleen_US

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