Improved robust stability criteria and design of robust stabilizing controller for uncertain linear time-delay systems

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dc.authoridParlakci, Alpaslan/0000-0002-4702-3563
dc.authorwosidPARLAKÇI, Alparslan/A-2623-2011
dc.authorwosidParlakci, Alpaslan/U-1325-2018
dc.contributor.authorParlakci, M. N. Alpaslan
dc.date.accessioned2024-07-18T20:40:03Z
dc.date.available2024-07-18T20:40:03Z
dc.date.issued2006
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractIn this paper, an improved linear matrix inequality (LMI)-based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded-type uncertainties. A quasi-full-size Lyapunov-Krasovskii functional is chosen and free-weighting matrix approach is employed. Less restrictive sufficient conditions are derived for robust stability of time-varying delay systems with norm-bounded-type uncertainties. Moreover, the investigation of the stabilization problem with memoryless state-feedback control is presented such that the stabilizability criteria are obtained in terms of matrix inequalities, which can be solved via utilizing a cone complementarity minimization algorithm. Finally, the problem of output feedback stabilization for square systems is also taken into consideration. The output feedback stabilizability criteria are derived in the form of linear matrix inequalities, which are convex and can be easily solved using interior point algorithms. A plenty of numerical examples are presented indicating that the proposed stability and stabilization methods effectively improve the existing results. Copyright (C) 2006 John Wiley & Sons, Ltd.en_US
dc.identifier.doi10.1002/rnc.1086
dc.identifier.endpage636en_US
dc.identifier.issn1049-8923
dc.identifier.issn1099-1239
dc.identifier.issue13en_US
dc.identifier.scopus2-s2.0-33748306381en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage599en_US
dc.identifier.urihttps://doi.org/10.1002/rnc.1086
dc.identifier.urihttps://hdl.handle.net/11411/6948
dc.identifier.volume16en_US
dc.identifier.wosWOS:000240079000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofInternational Journal of Robust and Nonlinear Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTime-Delayen_US
dc.subjectUncertaintyen_US
dc.subjectStabilityen_US
dc.subjectState-Feedbacken_US
dc.subjectOutput Feedbacken_US
dc.subjectLmı'sen_US
dc.subjectDependent Stabilityen_US
dc.subjectNeutral Systemsen_US
dc.subjectOutput-Feedbacken_US
dc.titleImproved robust stability criteria and design of robust stabilizing controller for uncertain linear time-delay systems
dc.typeArticle

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