Design of stabilizing PI and PID controllers

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dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorTan, Nusret
dc.contributor.authorAtherton, Derek P.
dc.date.accessioned2024-08-04T20:42:53Z
dc.date.available2024-08-04T20:42:53Z
dc.date.issued2006
dc.departmentİnönü Üniversitesien_US
dc.description6th Portuguese Conference on Automatic Control -- JUN 07-09, 2004-2005 -- Univ Algarve, Faro, PORTUGALen_US
dc.description.abstractIn this paper, a new method for the calculation of all stabilizing PI controllers is given. The proposed method is based on plotting the stability boundary locus in the (k(p), k(i))-plane and then computing the stabilizing values of the parameters of a PI controller for a given control system. The technique presented does not require sweeping over the parameters and also does not need linear programming to solve a set of inequalities. Thus, it offers several important advantages over existing results obtained in this direction. The proposed method is also applied for computation of all stabilizing PI controllers for multi-input multi-output ( MIMO) control systems with consideration given to two-input two-output (TITO) systems using decoupling technique. Beyond stabilization, the method is used to compute all stabilizing PI controllers which achieve user-specified gain and phase margins. Furthermore, the method is extended to tackle 3-parameters PID controllers. The limiting values of PID controller parameters which stabilize a given system are obtained in the (k(p), k(i))-plane for fixed values of k(d) and (k(p), k(d))-plane for fixed values of k(i). However, for the case of PID controller, a grid on the derivative gain or integral gain is needed for computation of all stabilizing PID controllers. Examples are given to show the benefits of the method presented.en_US
dc.description.sponsorshipPortuguese Assoc Automat Controlen_US
dc.identifier.doi10.1080/00207720600783785
dc.identifier.endpage554en_US
dc.identifier.issn0020-7721
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85007104219en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage543en_US
dc.identifier.urihttps://doi.org/10.1080/00207720600783785
dc.identifier.urihttps://hdl.handle.net/11616/97644
dc.identifier.volume37en_US
dc.identifier.wosWOS:000239238000007en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of Systems Scienceen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectstabilizationen_US
dc.subjectPI controlen_US
dc.subjectPID controlen_US
dc.subjectTITO systemsen_US
dc.subjectgain and phase marginsen_US
dc.titleDesign of stabilizing PI and PID controllersen_US
dc.typeConference Objecten_US

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