Stability margin computation for nonlinear systems: A parametric approach

Basit Öğe Kaydı
dc.authorscopusid7202696962
dc.authorscopusid7201354300
dc.contributor.authorTan N.
dc.contributor.authorAtherton D.P.
dc.date.accessioned2024-08-04T20:02:25Z
dc.date.available2024-08-04T20:02:25Z
dc.date.issued2002
dc.departmentİnönü Üniversitesien_US
dc.description15th World Congress of the International Federation of Automatic Control, 2002 -- 21 July 2002 through 26 July 2002 -- 153189en_US
dc.description.abstractThis paper studies the existence of limit cycles in a control system which contains nonlinearities and parametric uncertainties. The existence of limit cycles in a control system with a separable nonlinearity can be predicted using the describing function. In this paper, some of the well-known results developed in the area of parametric robust control are used together with the describing function method to analyze the stability problem of uncertain nonlinear systems. Based on the segment lemma, a stability result for a control system with an uncertain nonlinear element and a fixed linear element is first derived. Then, a polynomial method and a graphical method are proposed to determine how much one can perturb the coefficients of the linear element without causing the nonlinear system to have a limit cycle. Examples are given to illustrate the method presented. Copyright © 2002 IFAC.en_US
dc.identifier.doi10.3182/20020721-6-es-1901.00259
dc.identifier.endpage60en_US
dc.identifier.isbn9783902661746
dc.identifier.issn1474-6670
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84945577878en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage55en_US
dc.identifier.urihttps://doi.org/10.3182/20020721-6-es-1901.00259
dc.identifier.urihttps://hdl.handle.net/11616/91676
dc.identifier.volume15en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIFAC Secretariaten_US
dc.relation.ispartofIFAC Proceedings Volumes (IFAC-PapersOnline)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDescribing functionsen_US
dc.subjectLimit cyclesen_US
dc.subjectNonlinear control systemsen_US
dc.subjectParametric variationen_US
dc.subjectRobust stabilityen_US
dc.subjectUncertain dynamic systemsen_US
dc.titleStability margin computation for nonlinear systems: A parametric approachen_US
dc.typeConference Objecten_US

Dosyalar

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu