Robust stability and robust stabilization of uncertain linear time-delay systems [2-s2.0-11144291648]

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dc.authorscopusid57221092049
dc.contributor.authorParlakçi, M.N.A.
dc.date.accessioned2024-07-18T20:17:42Z
dc.date.available2024-07-18T20:17:42Z
dc.date.issued2004
dc.descriptionIASTEDen_US
dc.descriptionProceedings of the IASTED International Conference on Circuits, Signals, and Systems -- 28 November 2004 through 1 December 2004 -- Clearwater Beach, FL -- 64120en_US
dc.description.abstractIn this paper, the problem of robust stability analysis and robust stabilization with memoryless state feedback control for linear systems with time-varying delayed state and norm-bounded time-varying uncertainties are investigated. The proposed method employs Leibniz-Newton type model transformation, but unlike existing approaches, it does not involve any additional dynamics. As the additional dynamics induce additional eigenvalues that may move into the right-hand complex s-plane before any of the eigenvalues of the original system does, it causes conservatism in the system. Moreover, quite a few existing methods do apply Leibniz-Newton model transformation without including additional dynamics. However, the matrix inequalities that they obtained are not in the form of linear matrix inequalities. Thus, these matrix inequalities could not be solved by using any convex optimization algorithms. Instead, they could only give suboptimal maximal delay bounds. However, our proposed stability and stabilization criteria depending on both the size of the time delay and its derivative are derived in the form of solvable linear matrix inequalities that can be easily converted into a generalized eigenvalue minimization problem. Numerical examples given for the purpose of comparison with some existing results show that the proposed robust stability and robust stabilization criteria yield less conservative results.en_US
dc.identifier.endpage355en_US
dc.identifier.isbn0889864551
dc.identifier.isbn9780889864559
dc.identifier.scopus2-s2.0-11144291648en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage350en_US
dc.identifier.urihttps://hdl.handle.net/11411/6696
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofProceedings of the IASTED International Conference on Circuits, Signals, and Systemsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectControl Systemsen_US
dc.subjectLinear Matrix İnequalitiesen_US
dc.subjectStabilityen_US
dc.subjectStabilizationen_US
dc.subjectTime-Delayen_US
dc.subjectUncertaintyen_US
dc.subjectAlgorithmsen_US
dc.subjectLinearizationen_US
dc.subjectMathematical Transformationsen_US
dc.subjectMatrix Algebraen_US
dc.subjectOptimizationen_US
dc.subjectPerformanceen_US
dc.subjectRobustness (Control Systems)en_US
dc.subjectStabilityen_US
dc.subjectLinear Matrix İnequalitiesen_US
dc.subjectTime Delay Systemsen_US
dc.subjectTime-Delayen_US
dc.subjectUncertainityen_US
dc.subjectControl Systemsen_US
dc.titleRobust stability and robust stabilization of uncertain linear time-delay systems [2-s2.0-11144291648]
dc.typeConference Object

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