A robust delay-dependent guaranteed cost PID multivariable output feedback controller design for time-varying delayed systems: An LMI optimization approach

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dc.authorwosidParlakci, Mehmet Nur Alpaslan/U-1325-2018
dc.contributor.authorParlakci, Mehmet Nur Alpaslan
dc.contributor.authorJafarov, Elbrous M.
dc.date.accessioned2024-07-18T20:42:34Z
dc.date.available2024-07-18T20:42:34Z
dc.date.issued2021
dc.departmentİstanbul Bilgi Üniversitesien_US
dc.description.abstractThis paper deals with the new formulated problem of designing a robust delay-dependent guaranteed optimal cost proportional-integral-derivative (PID) multivariable output feedback controller for linear uncertain time delay systems with nonlinear parameter perturbations using a linear matrix inequalities (LMI) approach. Several less conservative delay-dependent stability conditions are formulated for the time-delay system under consideration in terms of LMIs. Based on an augmented form of Lyapunov-Krasovskii functionals, the free weighting matrices and Wirtinger inequality techniques are employed to obtain improved performance. An optimal guaranteed cost PID controller which minimizes the upper bound of cost function is provided. The main advantage of the proposed approach is to decouple the input and the output gain matrices allowing to synthesize the controller gain matrices through a strict LMI technique. The synthesis conditions are thus formulated in LMI form which avoids the use of any iterative approach to resolve the feasibility problem. Two numerical examples selected from the literature are presented to illustrate the effectiveness of the developed methodology. The numerical results indicate that the proposed method performs efficiently in comparison to the approaches from the existing literature. (c) 2021 European Control Association. Published by Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.ejcon.2021.06.003
dc.identifier.endpage79en_US
dc.identifier.issn0947-3580
dc.identifier.issn1435-5671
dc.identifier.scopus2-s2.0-85110485976en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage68en_US
dc.identifier.urihttps://doi.org/10.1016/j.ejcon.2021.06.003
dc.identifier.urihttps://hdl.handle.net/11411/7340
dc.identifier.volume61en_US
dc.identifier.wosWOS:000692791100006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofEuropean Journal of Controlen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTime Varying Delayen_US
dc.subjectAugmented Lyapunov-Krasovskii Functionalsen_US
dc.subjectOutput Feedback Stabilizationen_US
dc.subjectPıd Multivariable Controlleren_US
dc.subjectLmı Techniquesen_US
dc.subjectLinear-Systemsen_US
dc.subjectH-Infinityen_US
dc.subjectNeutral Systemsen_US
dc.subjectStabilizationen_US
dc.subjectStabilityen_US
dc.subjectInputen_US
dc.titleA robust delay-dependent guaranteed cost PID multivariable output feedback controller design for time-varying delayed systems: An LMI optimization approachen_US
dc.typeArticleen_US

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