Value Set-Based Numerical Analysis of Robust Stability for Fractional-Order Retarded Quasi-Polynomials with Uncertain Parameters and Uncertain Fractional Orders

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dc.authorscopusid8668043000
dc.authorscopusid55575011000
dc.authorscopusid57221078940
dc.authorscopusid57196895937
dc.contributor.authorMatuš? R.
dc.contributor.authorSenol B.
dc.contributor.authorAlagoz B.B.
dc.contributor.authorAtes A.
dc.date.accessioned2024-08-04T20:03:40Z
dc.date.available2024-08-04T20:03:40Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description5th Computational Methods in Systems and Software, CoMeSySo 2021 -- 1 October 2021 through 1 October 2021 -- 268789en_US
dc.description.abstractThis example-oriented contribution deals with the value set-based numerical analysis of robust stability for the family of fractional-order retarded quasi-polynomials with both uncertain parameters and uncertain fractional orders. The specific investigated feedback control system consists of the fractional-order PID controller and the controlled plant, represented by a heat transfer process described by the linear time-invariant fractional-order time-delay model with parametric uncertainty (with three uncertain parameters, namely, gain, fractional time constant, and fractional time-delay term, and furthermore two fractional orders). The graphical robust stability analysis is based on the numerical calculation of the value sets and the application of the zero exclusion principle. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.en_US
dc.identifier.doi10.1007/978-3-030-90321-3_3
dc.identifier.endpage23en_US
dc.identifier.isbn9783030903206
dc.identifier.issn2367-3370
dc.identifier.scopus2-s2.0-85120684997en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage18en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-030-90321-3_3
dc.identifier.urihttps://hdl.handle.net/11616/92011
dc.identifier.volume231 LNNSen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofLecture Notes in Networks and Systemsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional-order systemsen_US
dc.subjectParametric uncertaintyen_US
dc.subjectRetarded quasi-polynomialsen_US
dc.subjectRobust stabilityen_US
dc.subjectUncertain fractional ordersen_US
dc.subjectValue seten_US
dc.subjectZero exclusion principleen_US
dc.titleValue Set-Based Numerical Analysis of Robust Stability for Fractional-Order Retarded Quasi-Polynomials with Uncertain Parameters and Uncertain Fractional Ordersen_US
dc.typeConference Objecten_US

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