A comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay

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dc.contributor.authorIrgan, Hilal
dc.contributor.authorMenak, Ramazan
dc.contributor.authorTan, Nusret
dc.date.accessioned2024-12-24T19:29:50Z
dc.date.available2024-12-24T19:29:50Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, controller tuning methods based on stability region centroid methods reported in the literature are used to design PI-PD controllers for unstable, integrating and resonant systems with time delay. By analyzing the stability boundary locus (SBL) for the PD controller, which is utilized in the inner loop of this structure, the controller parameters are obtained using three methods which are the Weighted Geometric Center (WGC), Centroid of Convex Stability Region (CCSR), and Stability Triangle Approach (STA). These techniques were applied analytically, step by step. For the closed loop transfer function obtained in the inner loop of the controlled system, these three methods were utilized to design the PI controller in the outer loop, individually. Unit step responses of the controlled system, using PI-PD gains determined by each method, have been obtained. Furthermore, a disturbance of a certain time and amplitude was added to the systems to test the disturbance rejection behavior and the robustness performance of the methods. Perturbed responses were obtained through changing the model parameters at a certain rate. Time domain performance metrics were analyzed to compare the responses. The simulations were evaluated using settling time, rise time, and percentage overshoot as the assessment criteria. As a result of this study, the effectiveness of three methods, namely WGC, CCSR, and STA, in controller design for unstable, integrating, and resonant time-delay systems has been demonstrated. In addition, a comparison of time domain performance metrics is presented for the nominal and perturbed systems. Based on these comparisons, it is concluded that the methods outperform each other only in some time response performance measures. The presented results showed the advantages of these methods over each other in terms of some performance criteria. The contribution of this study to the literature is the comparative analysis of these three analytical methods.
dc.description.sponsorshipTurkish Academy of Sciences (TUBA)
dc.description.sponsorshipWe thank Turkish Academy of Sciences (TUBA) for supporting this work.
dc.identifier.doi10.1177/00202940241253114
dc.identifier.issn0020-2940
dc.identifier.issn2051-8730
dc.identifier.scopus2-s2.0-85196390510
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1177/00202940241253114
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7272
dc.identifier.wosWOS:001250369800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSage Publications Ltd
dc.relation.ispartofMeasurement & Control
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectWeighted geometric center
dc.subjectstability region centroid
dc.subjectstability triangle approach
dc.subjectcentroid of convex stability region
dc.subjectPI-PD controller
dc.titleA comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay
dc.typeArticle

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