A graphical method to determine robust stabilizing region of FOPID controllers for stable/unstable fractional-order plants with interval uncertainties of a fractional order and model coefficients

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dc.contributor.authorGhorbani, Majid
dc.contributor.authorAlagoz, Baris Baykant
dc.contributor.authorTepljakov, Aleksei
dc.contributor.authorPetlenkov, Eduard
dc.date.accessioned2024-08-04T20:56:12Z
dc.date.available2024-08-04T20:56:12Z
dc.date.issued2024
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper focuses on robustly stabilizing stable and unstable fractional-order plants with one uncertain fractional-order term and interval uncertainties using fractional order $ PI<^>{\mu }D<^>{\lambda } $ PI mu D lambda controllers. Two necessary and sufficient conditions are provided to check the robust stability of the closed-loop control system. Moreover, the D-decomposition technique is utilized to determine the robust stability region of the system. Subsequently, evolutionary algorithms, such as the Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Differential Evolution (DE), can be utilized to discover a fractional-order controller within the region of robust stability. This work introduces three primary contributions, outlined as follows: (1) Utilizing a graphical approach, a set of stabilizing controller is obtained. (2) Rather than employing just a single stabilizing fractional-order controller, a collection of controllers is provided for the control system. (3) Employing evolutionary algorithms to find an optimal fractional-order controller. Finally, four numerical examples are presented to validate the results.en_US
dc.description.sponsorshipEstonian Research Council [PRG658]en_US
dc.description.sponsorshipThis work was supported by the Estonian Research Council [grant number PRG658].en_US
dc.identifier.doi10.1080/03081079.2024.2375442
dc.identifier.issn0308-1079
dc.identifier.issn1563-5104
dc.identifier.scopus2-s2.0-85197814965en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1080/03081079.2024.2375442
dc.identifier.urihttps://hdl.handle.net/11616/102105
dc.identifier.wosWOS:001268183700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of General Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectRobust stability analysisen_US
dc.subjectfractional-order planten_US
dc.subjectfractional-order PID controlleren_US
dc.subjectparametric uncertaintyen_US
dc.subjectvalue seten_US
dc.titleA graphical method to determine robust stabilizing region of FOPID controllers for stable/unstable fractional-order plants with interval uncertainties of a fractional order and model coefficientsen_US
dc.typeArticleen_US

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