Stability Analysis of Fractional Order Multiple Linear Uncertain Systems: Exposed Edge Sampling Approach

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dc.authoridAlagoz, Baris Baykant/0000-0001-5238-6433
dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authoridATES, Abdullah/0000-0002-4236-6794
dc.authoridYeroglu, Celaleddin/0000-0002-6106-2374
dc.authorwosidYeroglu, Celaleddin/ABG-9572-2020
dc.authorwosidAlagoz, Baris Baykant/ABG-8526-2020
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.authorwosidATES, Abdullah/V-6929-2018
dc.contributor.authorSenol, Bilal
dc.contributor.authorAtes, Abdullah
dc.contributor.authorAlagoz, B. Baykant
dc.contributor.authorYeroglu, Celaleddin
dc.date.accessioned2024-08-04T20:44:38Z
dc.date.available2024-08-04T20:44:38Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractMultiple linear uncertainty models mainly appear at linear time invariant system modelling of cascaded process and this uncertainty structure complicates parametric robust stability analyses of real control systems. To address this problem, this study presents a robust stability analysis scheme for fractional order control system models including multiple linear uncertainty structures. A numerical method, which is based Edge Theorem, has been utilized for the robust stability analysis of fractional order multiple linear uncertain control systems. For this purpose, exposed edge scan sampling approach is used to obtain a image of root region boundaries of fractional order multiple linear uncertain control systems in complex s-domain, and an extension of exposed edge scan sampling is proposed for root locus analyses of fractional order closed loop control systems involving multiple linear uncertainty structures. In the paper, types of linear uncertainties are discussed briefly and multiple versions of these uncertainties are studied for fractional order closed loop control in detail. An application of proposed method for closed loop control systems is numerically demonstrated via illustrative examples. It is observed in this study that exposed edge sampling approach can be an effective method for robust stability analysis of complicated uncertainty structures and it presents potential of decreasing computational complexity in robust stabilization problems of uncertain fractional order control systems.en_US
dc.identifier.endpage21en_US
dc.identifier.issn1454-8658
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85049780699en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage14en_US
dc.identifier.urihttps://hdl.handle.net/11616/98378
dc.identifier.volume20en_US
dc.identifier.wosWOS:000437386500002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherRomanian Soc Control Tech Informaticsen_US
dc.relation.ispartofControl Engineering and Applied Informaticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional-order systemsen_US
dc.subjectmultiple linear uncertaintiesen_US
dc.subjectrobust stabilityen_US
dc.subjectroots regionen_US
dc.subjectedge samplingen_US
dc.titleStability Analysis of Fractional Order Multiple Linear Uncertain Systems: Exposed Edge Sampling Approachen_US
dc.typeArticleen_US

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