Robustness analysis of control systems with mixed perturbations

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dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorTan, N
dc.contributor.authorAtherton, DP
dc.date.accessioned2024-08-04T20:13:21Z
dc.date.available2024-08-04T20:13:21Z
dc.date.issued2003
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe paper considers control systems with parametric as well as unstructured uncertainty. Parametric uncertainty is modelled by a transfer function whose numerator and denominator polynomials are independent uncertain polynomials of the form of P (s, q) = l(0) (q) + l(1) (q) s +... + l(n) (q)s(n) where the coefficients depend linearly on q = [q(1), q(2),., q(q)](T) and the uncertainty box is Q = {q: q(i)is an element of[(q(i)) under bar, (q(i)) over bar], i = 1, 2,., q}. The unstructured uncertainty is modelled as H-infinity norm bounded perturbations and perturbations consisting of a family of nonlinear sector bounded feedback gains. Using the geometric structure of the value set of P(s, q), some results are presented for determination of the robust small gain theorem, robust performance, strict positive realness and absolute stability problem of control systems with parametric as well as unstructured uncertainty. Numerical examples are given to illustrate application of the proposed methods.en_US
dc.identifier.doi10.1191/0142331203tm081oa
dc.identifier.endpage184en_US
dc.identifier.issn0142-3312
dc.identifier.issn1477-0369
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-0038663000en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage163en_US
dc.identifier.urihttps://doi.org/10.1191/0142331203tm081oa
dc.identifier.urihttps://hdl.handle.net/11616/93565
dc.identifier.volume25en_US
dc.identifier.wosWOS:000182880000005en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSage Publications Ltden_US
dc.relation.ispartofTransactions of The Institute of Measurement and Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectcircle criterionen_US
dc.subjectLur'e criterionen_US
dc.subjectNyquist envelopeen_US
dc.subjectPopov criterionen_US
dc.subjectrobust performanceen_US
dc.subjectrobust stabilityen_US
dc.subjectsmall gain theoremen_US
dc.subjectstrict positive realnessen_US
dc.subjectuncertain systemsen_US
dc.titleRobustness analysis of control systems with mixed perturbationsen_US
dc.typeArticleen_US

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