Robust delay-dependent H? control of time-delay systems with state and input delays

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dc.authoridKucukdemiral, Ibrahim Beklan/0000-0003-0174-5680|Parlakci, Alpaslan/0000-0002-4702-3563
dc.authorwosidParlakci, Alpaslan/U-1325-2018
dc.contributor.authorParlakci, M. N. Alpaslan
dc.contributor.authorKucukdemiral, Ibrahim B.
dc.date.accessioned2024-07-18T20:40:03Z
dc.date.available2024-07-18T20:40:03Z
dc.date.issued2011
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThis paper studies the design problem of robust delay-dependent H-infinity controller for a class of time-delay control systems with time-varying state and input delays, which are assumed to be noncoincident. The system is subject to norm-bounded uncertainties and L-2 disturbances. Based on the selection of an augmented form of Lyapunov-Krasovskii (L-K) functional, first a Bounded Real Lemma (BRL) is obtained in terms of linear matrix inequalities (LMIs) such that the nominal, unforced time-delay system is guaranteed to be globally asymptotically stable with minimum allowable disturbance attenuation level. Extending BRL, sufficient delay-dependent criteria are developed for a stabilizing H-infinity controller synthesis involving a matrix inequality for which a nonlinear optimization algorithm with LMIs is proposed to get feasible solution to the problem. Moreover, for the case of existence of norm-bounded uncertainties, both the BRL and H-infinity stabilization criteria are easily extended by employing a well-known bounding technique. A plenty of numerical examples are given to illustrate the application of the proposed methodology of this note. The achieved numerical results on the maximum allowable delay bound and minimum allowable disturbance attenuation level are exhibited to be less conservative in comparison to those of existing methods in the literature. Copyright (C) 2010 John Wiley & Sons, Ltd.en_US
dc.identifier.doi10.1002/rnc.1637
dc.identifier.endpage1007en_US
dc.identifier.issn1049-8923
dc.identifier.issn1099-1239
dc.identifier.issue9en_US
dc.identifier.startpage974en_US
dc.identifier.urihttps://doi.org/10.1002/rnc.1637
dc.identifier.urihttps://hdl.handle.net/11411/6950
dc.identifier.volume21en_US
dc.identifier.wosWOS:000290482900003en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_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.subjectH-İnfinity Controlen_US
dc.subjectState-Delayen_US
dc.subjectİnput-Delayen_US
dc.subjectNorm-Bounded Uncertaintiesen_US
dc.subjectLinear Matrix İnequalitiesen_US
dc.subjectUncertain Systemsen_US
dc.subjectLinear-Systemsen_US
dc.subjectVarying Stateen_US
dc.subjectFeedback-Controlen_US
dc.subjectOutput-Feedbacken_US
dc.subjectStabilizationen_US
dc.subjectStabilityen_US
dc.subjectDesignen_US
dc.titleRobust delay-dependent H? control of time-delay systems with state and input delaysen_US
dc.typeArticleen_US

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