Robust Stability of Fractional-Order Linear Time-Invariant Systems: Parametric versus Unstructured Uncertainty Models

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dc.authoridPekar, Libor/0000-0002-2401-5886
dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authorwosidPekar, Libor/H-6373-2012
dc.authorwosidMatuš?, Radek/HPH-8692-2023
dc.authorwosidMatuš?, Radek/H-6355-2012
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorMatusu, Radek
dc.contributor.authorSenol, Bilal
dc.contributor.authorPekar, Libor
dc.date.accessioned2024-08-04T20:45:50Z
dc.date.available2024-08-04T20:45:50Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe main aim of this paper is to present and compare three approaches to uncertainty modeling and robust stability analysis for fractional-order (FO) linear time-invariant (LTI) single-input single-output (SISO) uncertain systems. The investigated objects are described either via FO models with parametric uncertainty, by means of FO unstructured multiplicative uncertainty models, or through FO unstructured additive uncertainty models, while the unstructured models are constructed on the basis of appropriate selection of a nominal plant and a weight function. Robust stability investigation for systems with parametric uncertainty uses the combination of plotting the value sets and application of the zero exclusion condition. For the case of systems with unstructured uncertainty, the graphical interpretation of the utilized robust stability test is based mainly on the envelopes of the Nyquist diagrams. The theoretical foundations are followed by two extensive, illustrative examples where the plant models are created; the robust stability of feedback control loops is analyzed, and obtained results are discussed.en_US
dc.description.sponsorshipEuropean Regional Development Fund under the project CEBIA-Tech Instrumentation [CZ.1.05/2.1.00/19.0376]; Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme [LO1303 (MSMT-7778/2014)]en_US
dc.description.sponsorshipThe work was supported by the European Regional Development Fund under the project CEBIA-Tech Instrumentation no. CZ.1.05/2.1.00/19.0376 and by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme Project no. LO1303 (MSMT-7778/2014). This assistance is very gratefully acknowledged.en_US
dc.identifier.doi10.1155/2018/8073481
dc.identifier.issn1076-2787
dc.identifier.issn1099-0526
dc.identifier.scopus2-s2.0-85062723014en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1155/2018/8073481
dc.identifier.urihttps://hdl.handle.net/11616/98717
dc.identifier.wosWOS:000443631700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWiley-Hindawien_US
dc.relation.ispartofComplexityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStabilizationen_US
dc.subjectPien_US
dc.titleRobust Stability of Fractional-Order Linear Time-Invariant Systems: Parametric versus Unstructured Uncertainty Modelsen_US
dc.typeArticleen_US

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