Passivity Analysis and Synthesis for Uncertain Time-Delay Systems

dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorMahmoud M.S.
dc.contributor.authorXie L.
dc.contributor.otherFaculty of Engineering
dc.contributor.otherMSA University
dc.contributor.otherAmer Street
dc.contributor.otherMesaha Square
dc.contributor.otherDokki
dc.contributor.otherEgypt; Sch. of Elec. and Electron. Eng.
dc.contributor.otherNanyang Technological University
dc.contributor.otherNanyang Avenue
dc.contributor.otherSingapore 639798
dc.contributor.otherSingapore
dc.date.accessioned2020-01-25T19:58:37Z
dc.date.available2020-01-25T19:58:37Z
dc.date.issued2001
dc.descriptionScopus
dc.description.abstractIn this paper, we investigate the robust passivity analysis and synthesis problems for a class of uncertain time-delay systems. This class of systems arises in the modelling effort of studying water quality constituents in fresh stream. For the analysis problem, we derive a sufficient condition for which the uncertain time-delay system is robustly stable and strictly passive for all admissible uncertainties. The condition is given in terms of a linear matrix inequality. Both the delay-independent and delay-dependent cases are considered. For the synthesis problem, we propose an observer-based design method which guarantees that the closed-loop uncertain time-delay system is stable and strictly passive for all admissible uncertainties. Several examples are worked out to illustrate the developed theory.en_US
dc.identifier.doihttps://doi.org/10.1155/S1024123X01001739
dc.identifier.issn1024123X
dc.identifier.otherhttps://doi.org/10.1155/S1024123X01001739
dc.identifier.urihttps://www.hindawi.com/journals/mpe/2001/419527/
dc.language.isoEnglishen_US
dc.publisherTaylor and Francis Inc.en_US
dc.relation.ispartofseriesMathematical Problems in Engineering
dc.relation.ispartofseries7
dc.subjectDesignen_US
dc.subjectObserveren_US
dc.subjectPassivityen_US
dc.subjectTime-delay systemsen_US
dc.subjectUncertaintiesen_US
dc.subjectWater qualityen_US
dc.titlePassivity Analysis and Synthesis for Uncertain Time-Delay Systemsen_US
dc.typeArticleen_US
dcterms.isReferencedByKolomanovskii, V., Myshkis, A., (1986) Applied Theory of Functional Differential Equations, , Kluwer Academic Pub., New York; Malek-Zavarei, M., Jamshidi, M., (1987) Time-Delay Systems: Analysis, Optimization and Applications, , North Holland, Amsterdam; Mahmoud, M.S., Output Feedback Stabilization of Uncertain Systems with State Delay (1994) Analysis and Synthesis Techniques in Complex Control and Dynamic Systems, Vol. 63 of Advances in Theory and Applications, 63, pp. 197-257. , C. T. Leondes (Ed.); Luo, J.S., Van Den Bosch, P.P.J., Independent Delay Stability Criteria for Uncertain Linear State Space Models (1987) Automatica, 33, pp. 171-179; Mahmoud, M.S., Dynamic Control of Systems with Variable State-Delay (1966) Int. J. Robust and Nonlinear Control, 6, pp. 123-146; Anderson, B.D.O., Vongpanitherd, S., (1973) Network Analysis and Synthesis: A Modern Systems Theory Approach, , Prentice Hall, N.J; Anderson, B.D.O., A System Theory Criterion for Positive Real Matrices (1967) SIAM. J. Control and Optimization, 5, pp. 171-182; Sun, W., Khargonekar, P.P., Shim, D., Solution to the Positive Real Control Problem for Linear Time-Invariant Systems (1994) IEEE Trans. Automatic Control, 39, pp. 2034-2046; Mahmoud, M.S., (1999) Robust Control and Filtering for Time-Delay Systems, , Marcel-Dekker, New York; Mahmoud, M.S., Al-Muthairi, N.F., Quadratic Stabilization of Continuous-Time Systems with State-Delay and Norm-Bounded Time-Varying Uncertainties (1994) IEEE Trans. Automatic Control, AC-39, pp. 2135-2139; Dugard, L., Verriest, E.I., (1997) Stability and Control of Time-Delay Systems, , Springer-Verlag, New York; Gahinet, P., Nemirovski, A., Laub, A.J., Chilali, M., (1995) LMI-Control Toolbox, , The Math Works, Mass; Mahmoud, M.S., Decentralized River Pollution Control of Systems (1987) Large Scale Systems, 13, pp. 233-249; Mahmoud, M.S., Hassan, M.F., Saleh, S.J., Decentralized Structures for Stream Water Quality Control Problems (1985) Optimal Control Applications & Methods, 6, pp. 167-186; Mahmoud, M.S., Saleh, S.J., Regulation of Water Quality Standards in Streams by Decentralized Control (1985) Int. J. Control, 41, pp. 525-540; Mahmoud, M.S., Xie, L., Stability and Positive Realness of Time-Delay Systems (1999) J. Mathematical Analysis and Applications, 17, pp. 121-133; Safonov, M.G., Jonckheere, H.A., Verma, M., Limebeer, D.J.N., Synthesis of Positive Real Multivariable Feedback Systems (1987) Int. J. Control, 45, pp. 817-842; Haddad, W.A., Bernstein, D.S., Wang, Y.W., Dissipalive H2/H? Controller Synthesis (1994) IEEE Trans. Automatic Control, 39, pp. 827-831; Jia, Y., Gao, W., Cheng, M., Robust Strict Positive Real Stabilization Criteria for SISO Uncertain Systems (1992) Systems & Control Letters, 19, pp. 111-117; Xie, L., Soh, Y.C., Positive Real Control Problem for Uncertain Linear Time-Invariant Systems (1995) Systems, & Control Letters, 24, pp. 265-271
dcterms.sourceScopus

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