An analytical solution of fractional order PI controller design for stable/unstable/integrating processes with time delay

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dc.authorid0000-0001-7297-7441en_US
dc.authorid0000-0002-8393-1358en_US
dc.contributor.authorÇökmez, Erdal
dc.contributor.authorKaya, İbrahim
dc.date.accessioned2023-07-28T07:54:30Z
dc.date.available2023-07-28T07:54:30Z
dc.date.issued2023en_US
dc.departmentDicle Üniversitesi, Mühendislik Fakültesi, Elektrik Elektronik Mühendisliği Bölümüen_US
dc.description.abstractThis paper aims to put forward an analytical solution for tuning parameters of a fractional order PI (FOPI) controller for stable, unstable, and integrating processes with time delay. Following this purpose, the analytical weighted geometrical center (AWGC) method has been extended to the design of fractional order PI controllers. To apply AWGC, the stability equations of the closed-loop system are written in terms of process and fractional order PI controller parameters. With the proposed method, the centroid can be calculated analytically, and the controller parameters can be easily calculated without the need of repetitive drawings of the stability boundary regions. Additionally, analytical equations are derived to calculate fractional integral order, λ, using the integral of squared error (ISE) objective function. The proposed analytical equations are simple and time-saving which might attract controller engineers for applying them on the industrial level. To show the efficiency of the suggested method compared to the given methods in the literature, several simulation examples are considered. Comparisons between the reported methods are figured out in terms of unit step responses for nominal and perturbed cases. Also, rise time, settling time, maximum sensitivity (Ms), integral of squared error (ISE), and total variation (TV) values are considered to compare the performance and robustness issues. Also, a real-time application of an inverted pendulum setup is deemed to prove the feasibility of the suggested method.en_US
dc.identifier.citationÇökmez, E. ve Kaya, İ. (2023). An analytical solution of fractional order PI controller design for stable/unstable/integrating processes with time delay. Turkish Journal of Electrical Engineering and Computer Sciences, 31(3), 626-645.en_US
dc.identifier.doi10.55730/1300-0632.4006
dc.identifier.endpage645en_US
dc.identifier.issn1300-0632
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85165097999
dc.identifier.scopusqualityQ2
dc.identifier.startpage626en_US
dc.identifier.trdizinid1180518
dc.identifier.urihttps://journals.tubitak.gov.tr/elektrik/vol31/iss3/10/
dc.identifier.urihttps://hdl.handle.net/11468/12290
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1180518
dc.identifier.volume31en_US
dc.identifier.wosWOS:001043100900009
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorÇökmez, Erdal
dc.institutionauthorKaya, İbrahim
dc.language.isoenen_US
dc.publisherTübitaken_US
dc.relation.ispartofTurkish Journal of Electrical Engineering and Computer Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional order PI controlleren_US
dc.subjectStability equationsen_US
dc.subjectWeighted geometrical centeren_US
dc.subjectIntegrating processen_US
dc.subjectUnstable processen_US
dc.subjectTime delayen_US
dc.titleAn analytical solution of fractional order PI controller design for stable/unstable/integrating processes with time delayen_US
dc.titleAn analytical solution of fractional order PI controller design for stable/unstable/integrating processes with time delay
dc.typeArticleen_US

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