Delay-dependent robust H∞ control for uncertain singular systems with multiple state delays

IET Control Theory and Applications

Volumn 3, Issue 6, 2009, Pages 731-740

  Du, Z P ^a,c   Zhang, Q L ^a,c   Li, Y ^a,b  

^a NORTHEASTERN UNIVERSITY   (China)

^b SHENYANG UNIVERSITY OF TECHNOLOGY   (China)

^c KEY LABORATORY OF INTEGRATED AUTOMATION OF PROCESS INDUSTRY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY DEPENDENT CRITERION; DELAY-DEPENDENT; LINEAR MATRIX INEQUALITY APPROACH; NUMERICAL EXAMPLE; ROBUST H; SINGULAR SYSTEM; STATE DELAY; STATE FEEDBACK CONTROLLER; UNCERTAIN SINGULAR SYSTEMS;

FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES;

STATE FEEDBACK;

EID: 65949095009     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2008.0085     Document Type: Article

References (24)

1. ∞ control of discrete-time linear systems with norm-bounded uncertainties and time delay in state ', Automatica, 1998, 34, (1), p. 137-139 10.1016/S0005-1098(97)00182-9 0005-1098 (Pubitemid 128387958)
2. Li, X., and De Souza, C.E.: ' Criteria for robust stability and stabilization of uncertain linear systmes with state-delay ', Automatica, 1997, 33, (9), p. 1657-1662 10.1016/S0005-1098(97)00082-4 0005-1098 (Pubitemid 127378839)
3. Gao, H., Lam, J., Wang, C., and Wang, Y.: ' Delay-dependent output-feedback stabilization 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
4. Liu, X.G., Martin, R.R., Wu, M., and Tang, M.L.: ' Delay-dependent robust stabilisation of discrete-time systems with time-varying delay ', IEE Proc. Control Theory Appl., 2006, 153, (6), p. 689-702 10.1049/ip-cta:20050223 1350-2379
5. Lu, C.Y., Tsai, J.S.H., and Su, T.J.: ' On improved delay-dependent robust stability criteria for uncertain systems with multiple-state delays ', IEEE Trans. Circuits Syst., 2002, 49, (2), p. 253-256 0098-4094 (Pubitemid 34291478)
6. Dai, L.: ' Singular control systems ', (Springer-Verlag, Berlin, 1989)
7. Xu, S.Y., and Lam, J.: ' Robust stability and stabilization of discrete singular systems: an equivalent characterization ', IEEE Trans. Autom. Control, 2004, 49, (4), p. 568-574 10.1109/TAC.2003.822854 0018-9286
8. ∞ control of uncertain descriptor systems with multiple delays ', IEE Proc. Control Theory Appl., 2003, 150, (6), p. 557-564 10.1049/ip-cta:20030597 1350-2379
9. Ji, X.F., Su, H.Y., and Chu, J.: ' Delay-dependent robust stability of uncertain discrete singular time-delay systems ', Proc. of the 2006 American Control Conf., 2006, p. 3843-3848 (Pubitemid 46531418)
10. Ma, S., Cheng, Z., and Zhang, C.: ' Delay-dependent robust stability and stabilisation for uncertain discrete singular systems with time-varying delays ', IET Control Theory Appl., 2007, 1, (4), p. 1086-1095 10.1049/iet-cta:20060131
11. ∞ control for uncertain discrete singular time-varying delay systems based on a finite sum inequality ', Proc. 26th Chinese Control Conf., 2007, p. 595-599
12. Wu, Z.G., and Zhou, W.N.: ' Delay-dependent robust stabilization for uncertain singular systems with state delay ', Acta Autom. Sin., 2007, 33, (7), p. 67-72 0254-4156
13. Zhu, S.Q., Zhang, C.H., Cheng, Z.L., and Feng, J.: ' Delay-dependent robust stability for two classes of uncertain singular time-delay systems ', IEEE Trans. Autom. Control, 2007, 52, (5), p. 880-885 10.1109/TAC.2007.895951 0018-9286
14. Boukas, E.K.: ' Delay-dependent stabilization of singular linear systems with delays ', Int. J. Innov. Comput., Inform. Control, 2006, 2, (2), p. 283-291
15. ∞ control for uncertain singular time-delay systems ', Proc. IEEE Conf. on Decision and Control, and European Control Conf., 2005, p. 1373-1378 (Pubitemid 46297159)
16. Zhong, R., and Yang, Z.: ' Delay-dependent robust control of descriptor systems with time delay ', Asian J. Control, 2006, 8, (1), p. 36-44 1561-8625 (Pubitemid 43820466)
17. ∞ control for uncertain singular time-delay systems ', IET Control Theory Appl., 2007, 1, (5), p. 1234-1241 10.1049/iet-cta:20060446
18. ∞ stabilization ', Optim. Control Appl. Methods, 2007, 28, p. 259-274 10.1002/oca.801 0143-2087
19. ∞ control for nonlinear descriptor systems ', (Springer-Verlag, London, 2006)
20. Fridman, E.: ' Stability of linear descriptor systems with delay: a Lyapunov-based approach ', J. Math. Anal. Appl., 2002, 273, (1), p. 24-44 10.1016/S0022-247X(02)00202-0 0022-247X
21. Xu, S., Dooren, P.V., Stefan, R., and Lam, J.: ' Robust stability and stabilization for singular systems with state delay and parameter uncertainty ', IEEE Trans. Autom. Control, 2002, 47, (7), p. 1122-1128 10.1109/TAC.2002.800651 0018-9286
22. Moon, Y.S., Park, P.G., 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
23. Peterson, I.R.: ' A stabilization algorithm for a class of uncertain linear systems ', Syst. Control Lett., 1987, 8, (4), p. 351-357 0167-6911 (Pubitemid 17589056)
24. ∞ control for linear systems with norm-bounded time-varying uncertainty ', IEEE Trans. Autom. Control, 1992, 37, (8), p. 1188-1191 10.1109/9.151101 0018-9286