Delay-dependent robust stabilisation of discrete-time systems with time-varying delay

IEE Proceedings: Control Theory and Applications

Volumn 153, Issue 6, 2006, Pages 689-702

  Liu, X G ^a,b   Martin, R R ^b   Wu, M ^a   Tang, M L ^a  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR MATRIX INEQUALITY (LMI); NORM-BOUNDED PARAMETERS; OUTPUT-FEEDBACK STABILIZATION; TIME-VARYING DELAY;

DISCRETE TIME CONTROL SYSTEMS; FEEDBACK; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; UNCERTAIN SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 33749818870     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20050223     Document Type: Article

References (18)

1. Li, X., and De Souza, C.E.: ' Criteria for robust stability and stabilization of uncertain linear systems with state-delay ', Automatica, 1997, 33, p. 1657-1662 10.1016/S0005-1098(97)00082-4 0005-1098
2. ∞ control for uncertain systems with time-varying delays ', IEE Proc. Control Theory Appl., 1998, 145, (3), p. 338-344 10.1049/ip-cta:19981951 1350-2379
3. Chen, W.H., Guan, Z.H., and Lu, X.: ' Delay-dependent guaranteed cost control for uncertain discrete-time systems with delay ', IEE Proc. Control Theory Appl., 2003, 150, (4), p. 412-416 10.1049/ip-cta:20030572 1350-2379
4. ∞ filtering for uncertain systems with multiple time-varying state delays ', IEEE Trans. Circuits Syst., 2003, 50, (4), p. 594-599 0098-4094
5. He, Y., Wu, M., She, J.H., and Liu, G.P.: ' Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays ', Syst. Control Lett., 2004, 51, (1), p. 57-65 10.1016/S0167-6911(03)00207-X 0167-6911
6. He, Y., Wu, M., She, J.H., and Liu, G.P.: ' Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties ', IEEE Trans. Autom. Control, 2004, 49, (5), p. 828-832 10.1109/TAC.2004. 828317 0018-9286
7. Kharitonov, V., and Melhor, A.D.: ' On delay-dependent stability conditions ', Syst. Control Lett., 2002, 40, (1), p. 71-76 10.1016/S0167- 6911(00)00003-7 0167-6911
8. Moon, Y.S., Park, P., Kwon, W.H., and Lee, Y.S.: ' Delay-dependent robust stabilization of uncertain state delayed systems ', Int. J. Control, 2001, 74, (14), p. 1447-1455 10.1080/00207170110067116 0020-7179
9. Niculescu, S.I., Neto, A.T., Dion, J.M., and Dugard, L.: ' Delay-dependent stability of linear system with delayed state: an LMI approach ', Proc. 34th IEEE Conf. on Decision Control, 1995, p. 1495-1497
10. Park, P.: ' A delay-dependent stability criterion for systems with uncertain time-invariant delays ', IEEE Trans. Autom. Control, 1999, 44, (4), p. 876-877 10.1109/9.754838 0018-9286
11. Wu, M., He, Y., She, J.H., and Liu, G.P.: ' Delay-dependent criteria for robust stability of time-varying delay systems ', Automatica, 2004, 40, p. 1435-1439 10.1016/j.automatica.2004.03.004 0005-1098
12. Xie, L., and De Souza, C.E.: ' Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach ', IEEE Trans. Autom. Control, 1997, 42, (8), p. 1144-1148 0018-9286
13. ∞ observer design of linear state delayed system with parametric uncertainty: the discrete time case ', Automatica, 1999, 35, p. 1161-1167 10.1016/S0005-1098(99)00008-4 0005-1098
14. Gao, H., Lam, J., Wang, C., and Wang, Y.: ' Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay ', IEE Proc. Control Theory Appl., 2004, 151, (6), p. 691-698 10.1049/ip-cta:20040822 1350-2379
15. El Ghaoui, L.E., Oustery, F., and Ait Rami, M.: ' A cone complementarity linearization algorithm for static output feedback and related problems ', IEEE Trans. Autom. Control, 1997, 42, (8), p. 1171-1176 10.1109/9.618250 0018-9286
16. ∞ control of system with parameter uncertainty ', Int. J. Control, 1996, 63, (4), p. 741-750 0020-7179
17. ∞ filtering for uncertain discrete-time state-delayed systems ', IEEE Trans. Signal Process., 2004, 52, (6), p. 1631-1640 10.1109/TSP.2004. 827188 1053-587X
18. ∞ model reduction for discrete time-delay systems: delay-independent and dependent approaches ', Int. J. Control, 2004, 77, (4), p. 321-335 10.1080/ 00207170410001663525 0020-7179