Passive control synthesis for uncertain systems with multiple-state delays

dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorMahmoud M.S.
dc.contributor.authorZribi M.
dc.contributor.otherFaculty of Engineering
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.otherP.O. 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.abstractIn this paper, we investigate the robust passivity synthesis problem for a class of uncertain systems with multiple state delays. Both the delay-independent and the delay-dependent cases are treated. In each case, a sufficient condition for which the uncertain multi-state delay system is robustly stable and strictly passive (SP) for all admissible uncertainties is provided in terms of a linear matrix inequality. Then, we propose a dynamic feedback design methodology based on either state measurements or output measurements. For both types of controllers, it is proven that the closed-loop uncertain time-delay system is asymptotically stable and SP for all admissible uncertainties. A detailed simulation example is given to illustrate the theoretical developments. � 2002 Published by Elsevier Science Ltd.en_US
dc.description.urihttps://www.scimagojr.com/journalsearch.php?q=18159&tip=sid&clean=0
dc.identifier.doihttps://doi.org/10.1016/S0045-7906(01)00056-8
dc.identifier.doiPubMed ID :
dc.identifier.issn457906
dc.identifier.otherhttps://doi.org/10.1016/S0045-7906(01)00056-8
dc.identifier.otherPubMed ID :
dc.identifier.urihttps://t.ly/mpEqx
dc.language.isoEnglishen_US
dc.relation.ispartofseriesComputers and Electrical Engineering
dc.relation.ispartofseries28
dc.subjectPassive controlen_US
dc.subjectState delaysen_US
dc.subjectUncertain systemsen_US
dc.subjectClosed loop control systemsen_US
dc.subjectComputer simulationen_US
dc.subjectFeedbacken_US
dc.subjectMatrix algebraen_US
dc.subjectRobustness (control systems)en_US
dc.subjectPassive control synthesisen_US
dc.subjectUncertain systemsen_US
dc.titlePassive control synthesis for uncertain systems with multiple-state delaysen_US
dc.typeArticleen_US
dcterms.isReferencedByKolomanovskii, V., Myshkis, A., (1986) Applied theory of functional differential equations, , NY: Kluwer Academic; Mahmoud, M.S., (1999) Robust control and filtering for time-delay systems, , New York: Marcel Dekker; Mahmoud, M.S., Output feedback stabilization of uncertain systems with state delay: Analysis and synthesis techniques in complex control and dynamic systems (1994) Advances in theory and applications, 63, pp. 197-257. , Leondes C.T., editor; 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 Nonlinear Control, 6, pp. 123-146; Anderson, B.D.O., Vongpanitherd, S., (1973) Network analysis and synthesis: A modern systems theory approach, , NJ: Prentice Hall; Anderson, B.D.O., A system theory criterion for positive real matrices (1967) SIAM J Control and Optim, 5, pp. 171-182; Anderson, B.D.O., The small-gain theorem, the passivity theorem and their equivalence (1972) J Franklin Inst, 293, pp. 105-115; Vidyasagar, M., (1993) Nonlinear systems analysis, , NY: Prentice Hall; Safonov, M.G., Jonckheere, E.A., Verma, M., Limbeer, D.J.N., Synthesis of positive real multivariable feedback systems (1987) Int J Control, 45, pp. 817-842; 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., Xie, L., Stability and positive realness of time-delay systems (1999) J Math Anal Appl, 239, pp. 7-19; Mahmoud, M.S., Soh, Y.C., Xie, L., Observer-based positive real control of uncertain linear systems (1999) Automatica, 35, pp. 749-754; Zribi, M., Mahmoud, M.S., H?-control design for systems with multiple delays (1999) J Comput Electr Engng, 25; Gahinet, P., Nemirovski, A., Laub, A.J., Chilali, M., (1995) LMI control toolbox, , Mass: The MathWorks
dcterms.sourceScopus

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
avatar_scholar_256.png
Size:
6.31 KB
Format:
Portable Network Graphics
Description: