Computation of the frequency response of multilinear affine systems

dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorTan, N
dc.date.accessioned2024-08-04T20:13:10Z
dc.date.available2024-08-04T20:13:10Z
dc.date.issued2002
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis note deals with the problem of computing the frequency response of an uncertain transfer function whose numerator and denominator polynomials are multiples of independent uncertain polynomials of the form P(s, q) = l(0) (q) + l(1) (q) s + ... + l(n) (q) s(n) whose 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), q(i)], i = 1, 2,..,q}. Using the geometric structure of the value set-of P(s, cl), a powerful edge elimination procedure is proposed for computing the Bode, Nyquist, and Nichols envelopes of these uncertain systems. A numerical example is included to illustrate the benefit of the method presented.en_US
dc.identifier.doi10.1109/TAC.2002.803537
dc.identifier.endpage1696en_US
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-0036805084en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1691en_US
dc.identifier.urihttps://doi.org/10.1109/TAC.2002.803537
dc.identifier.urihttps://hdl.handle.net/11616/93443
dc.identifier.volume47en_US
dc.identifier.wosWOS:000178571500010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIeee-Inst Electrical Electronics Engineers Incen_US
dc.relation.ispartofIeee Transactions on Automatic Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBode envelopeen_US
dc.subjectfrequency responseen_US
dc.subjectmultilinear affine systemsen_US
dc.subjectNichols envelopeen_US
dc.subjectNyquist envelopeen_US
dc.titleComputation of the frequency response of multilinear affine systemsen_US
dc.typeArticleen_US

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