A note on robust stability analysis of fractional order interval systems by minimum argument vertex and edge polynomials

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dc.authorscopusid57221078940
dc.contributor.authorAlagoz B.B.
dc.date.accessioned2024-08-04T20:03:39Z
dc.date.available2024-08-04T20:03:39Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractBy using power mapping, stability analysis of fractional order polynomials was simplified to the stability analysis of expanded degree integer order polynomials in the first Riemann sheet. However, more investigation is needed for revealing properties of power mapping and demonstration of conformity of Hurwitz stability under power mapping of fractional order characteristic polynomials. Contributions of this study have two folds: Firstly, this paper demonstrates conservation of root argument and magnitude relations under power mapping of characteristic polynomials and thus substantiates validity of Hurwitz stability under power mapping of fractional order characteristic polynomials. This also ensures implications of edge theorem for fractional order interval systems. Secondly, in control engineering point of view, numerical robust stability analysis approaches based on the consideration of minimum argument roots of edge and vertex polynomials are presented. For the computer-aided design of fractional order interval control systems, the minimum argument root principle is applied for a finite set of edge and vertex polynomials, which are sampled from parametric uncertainty box. Several illustrative examples are presented to discuss effectiveness of these approaches. © 2014 Chinese Association of Automation.en_US
dc.identifier.doi10.1109/JAS.2016.7510088
dc.identifier.endpage421en_US
dc.identifier.issn2329-9266
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84992025521en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage411en_US
dc.identifier.urihttps://doi.org/10.1109/JAS.2016.7510088
dc.identifier.urihttps://hdl.handle.net/11616/91993
dc.identifier.volume3en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.ispartofIEEE/CAA Journal of Automatica Sinicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectedge theoremen_US
dc.subjectFractional order systemsen_US
dc.subjectinterval uncertaintyen_US
dc.subjectrobust stabilityen_US
dc.titleA note on robust stability analysis of fractional order interval systems by minimum argument vertex and edge polynomialsen_US
dc.typeArticleen_US

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