Robust control of a class of nonlinear uncertain time-delay systems

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorMahmoud M.S.
dc.contributor.authorZribi M.
dc.contributor.otherMSA University
dc.contributor.otherAmer Street
dc.contributor.otherMesaha Square
dc.contributor.otherDokki
dc.contributor.otherEgypt; Department of Electrical and Computer Engineering
dc.contributor.otherKuwait University
dc.contributor.otherPO Box 5969
dc.contributor.otherSafat-13060
dc.contributor.otherKuwait
dc.date.accessioned2020-01-25T19:58:36Z
dc.date.available2020-01-25T19:58:36Z
dc.date.issued2002
dc.descriptionScopus
dc.description.abstractThe robust ?? control problem of a class of uncertain nonlinear time-delay systems is considered in this paper. The parametric uncertainties are real time-varying and norm-bounded and the nonlinearities are state-dependent and cone-bounded. The delays are time-varying and bounded both in the state and at the input. We provide sufficient conditions for robust stability and robust state-feedback stabilization with disturbance attenuation. Then, we establish sufficient conditions for designing a linear dynamic observer-based controller which stabilizes the uncertain time-delay system and guarantees an ??-norm bound constraint on the disturbance attenuation for all admissible uncertainties and unknown delays. Several examples are simulated to illustrate the developed theory. � 2002 Taylor & Francis Ltd.en_US
dc.description.urihttps://www.scimagojr.com/journalsearch.php?q=27375&tip=sid&clean=0
dc.identifier.doihttps://doi.org/10.1080/02329290212183
dc.identifier.issn2329298
dc.identifier.otherhttps://doi.org/10.1080/02329290212183
dc.identifier.urihttps://cutt.ly/9rLezHG
dc.language.isoEnglishen_US
dc.relation.ispartofseriesSystems Analysis Modelling Simulation
dc.relation.ispartofseries42
dc.subjectDisturbance attenuationen_US
dc.subjectLinear matrix inequalities (LMIs)en_US
dc.subjectNonlinear time-delay systemsen_US
dc.subjectRobust controlen_US
dc.subjectComputer simulationen_US
dc.subjectFeedbacken_US
dc.subjectInput output programsen_US
dc.subjectParametric devicesen_US
dc.subjectProblem solvingen_US
dc.subjectRobustness (control systems)en_US
dc.subjectStabilizationen_US
dc.subjectSystem stabilityen_US
dc.subjectDisturbance attenuationen_US
dc.subjectLinear matrix inequalities (LMIs)en_US
dc.subjectNonlinear time-delay systemsen_US
dc.subjectRobust state-feedbacken_US
dc.subjectNonlinear control systemsen_US
dc.titleRobust control of a class of nonlinear uncertain time-delay systemsen_US
dc.typeArticleen_US
dcterms.isReferencedByMahmoud, M.S., (1999) Robust Control and Filtering for Time-delay Systems, , New York, Marcel-Dekker; Niculescu, S.I., Verriest, E.I., Dugard, L., Dion, J.M., Stability and robust stability of time-delay systems: A guided tour (1997) Stability and Control of Time-delay Systems, pp. 1-71. , Chapter 1 Edited by Dugard and Verriest, New York, Springer-Verlag; Mahmoud, M.S., Output feedback stabilization of uncertain systems with state delay (1994) Advances in Theory and Applications, 63, pp. 197-257. , C. T. Leondes (Ed.); Niculcscu, S., De Souza, C.E., Dion, J.M., Dugard, L., Robust stability and stabilization of uncertain linear systems with state-delay: Single delay case (I) (1994) Proc. IFAC Symposium on Robust Control Design, pp. 469-474. , Rio de Janeiro, BRAZIL; Niculescu, S.I., De Souza, C.E., Dion, J.M., Dugard, L., Robust ?? memoryless control for uncertain linear systems with time-varying delay (1995) Proc. 3rd European Control Conference, pp. 1814-1819. , Rome, ITALY; Luo, J.S., Van Den Bosch, P.P.J., Independent delay stability criteria for uncertain linear state space models (1997) Automatica, 33, pp. 171-179; Mahmoud, M.S., Dynamic control of systems with variable state-delay (1996) Int. J. Robust and Nonlinear Control, 6, pp. 123-146; Li, X., De Souza, C.E., Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality (1997) IEEE Trans. Automatic Control, 42, pp. 1144-1148; Ge, J.H., Frank, P.M., Lin, C.F., Robust H? state feedback control for linear systems with state-delay and parameter uncertainty (1996) Automatica, 32, pp. 1183-1185; Lee, J.H., Kim, S.W., Kwon, W.H., Memoryless H? controllers for state-delayed systems (1994) IEEE Trans. Automatic Control, 39, pp. 159-162; Mahmoud, M.S., Al-Muthairi, N.F., Quadratic stabilization of continuous-time systems with state-delay and norm-bounde time-varying uncertainties (1994) IEEE Trans. Automatic Control, 39, pp. 2135-2139; Mahmoud, M.S., Al-Muthairi, N.F., Design of robust controllers for time-delay systems (1994) IEEE Trans. Automatic Control, 39, pp. 995-999; Mahmoud, M.S., Zribi, M., ?? controllers for time-delay systems using linear matrix inpqualities (1999) J. Optimization Theory and Applications, 100 (1), pp. 89-122; Shen, J.C., Chen, B.S., Kung, F.C., Memoryless ?? stabilization of uncertain dynamic delay systems: Riccati equation approach (1991) IEEE Trans. Automatic Control, 36, pp. 638-640; Zhou, K., (1998) Essentials of Robust Control, , New York Prentice-Hall; Gahinet, P., Apkarian, P., A linear matrix inequality approach to ?? control (1994) Int. J. of Robust and Nonlinear Control, 4, pp. 421-448; Gahinet, P., Nemirovskii, A., Laub, A.J., Chilali, M., (1995) LMI Control Toolbox, , THE MATHWORKS, Mass; Mahmoud, M.S., Hassan, M.F., A decentralized water quality control scheme (1986) IEEE Trans. Systems, Man and Cybernetics, SMC-19, pp. 694-702
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