H∞ filtering for singular systems with time-varying delay

International Journal of Robust and Nonlinear Control

Volumn 20, Issue 11, 2010, Pages 1269-1284

  Wu, Zhengguang ^a   Su, Hongye ^a   Chu, Jian ^a  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

Delay range dependent; Filtering; H ; Linear matrix inequality (LMI); Singular systems; Time delay systems

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT; DELAY-RANGE-DEPENDENT; EXPONENTIALLY STABLE; FILTERING PROBLEMS; LINEAR MATRIX INEQUALITY APPROACH; NUMERICAL EXAMPLE; PERFORMANCE LEVEL; SINGULAR SYSTEM; SUFFICIENT CONDITIONS; TIME-DELAY SYSTEMS; TIME-VARYING DELAY;

DELAY CONTROL SYSTEMS; FREQUENCY SELECTIVE FADING; FUZZY CONTROL; NUMERICAL METHODS; THREE TERM CONTROL SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 77954511687     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1509     Document Type: Article

References (31)

1. Hale JK. Theory of Functional Differential Equations. Springer: New York, 1977.
2. Gao H, Wang H. Delay-dependent robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delay systems. IEEE Transactions on Automatic Control 2003; 48(9): 1661-1666.
3. Gao H, Wang H. A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems. IEEE Transactions on Signal Processing 2004; 52(6): 1631-1640.
4. Fridman E, Shaked U, Xie L. Robust H∞ filtering of linear systems with time varying delay. IEEE Transactions on Automatic Control 2003; 48(1):159-165.
5. Xu S, Lam J, Chen T, Zou Y. A delay-dependent approach to robust H∞ filtering for uncertain distributed delay systems. IEEE Transactions on Signal Processing 2005; 53(10): 3764-3772.
6. Xu S, Lam J, Mao X. Delay-dependent H∞ control and filtering for uncertain Markovian jump systems with timevarying delays. IEEE Transactions on Circuits and Systems-I: Regular Paper 2007; 54(9):2070-2077.
7. Zhang X, Han Q. Robust H∞ filtering for a class of uncertain linear systems with time-varying delay. Automatica 2008; 44(1):157-166.
8. He Y, Wang Q, Lin C. An improved H∞ filter design for systems with time-varying interval delay. IEEE Transactions on Circuits and Systems-II: Express Briefs 2006; 53(11): 1235-1239.
9. Dai L. Singular Control Systems. Springer: Berlin, 1989.
10. Xu S, Lam J. Robust Control and Filtering of Singular Systems. Springer: Berlin, 2006.
11. Zhang B, Zhou S, Du D. Robust H∞ filtering of delayed singular systems with linear fractional parametric uncertainties. Circuits, Systems and Signal Processing 2006; 25(5):627-647.
12. Yue D, Han Q. Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Transactions on Signal Processing 2004; 52(11): 3200-3212.
13. Fridman E, Shaked U. H∞ control of linear state-delay descriptor systems: an LMI approach. Linear Algebra and its Applications 2002; 351-352:271-302.
14. Shu Z, Lam J. Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays. International Journal of Control 2008; 81(6): 865-882.
15. Gu K, Kharitonov VK, Chen J. Stability of Time-Delay Systems. Birkhauser: Basel, 2003.
16. Mao X, Koroleva N, Rodkina A. Robust stability of uncertain stochastic differential delay equations. Systems and Control Letters 1998; 35:325-336.
17. Yue D, Han Q. Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proceedings-Control Theory and Applications 2005; 152:628-638. (Pubitemid 44532747)
18. Saadni SM, Chaabane M, Mehdi D. Robust stability and stabilization of a class of singular systems with multiple timevarying delays. Asian Journal of Control 2006; 8:1-11.
19. Kim JH. Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays. International Journal of Control, Automation, and Systems 2009; 7:357-364.
20. He Y, Wu M, She J, Liu G. Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopictype uncertainties. IEEE Transactions on Automatic Control 2007; 49:828-832.
21. He Y, Wang Q, Xie L, Lin C. Further improvement of freeweighting matrices technique for systems with time-varying delay. IEEE Transactions on Automatic Control 2007; 52: 293-299.
22. He Y, Wang Q, Lin C, Min W. Delay-range-dependent stability for systems with time-varying delay. Automatica 2007; 43:371-376. (Pubitemid 46037586)
23. He Y, Liu G, Rees D. New delay-dependent stability criteria for neural networks with time-varying delay. IEEE Transactions on Neural Networks 2007; 18:310-314.
24. Xu S, Lam J, Yang C. H∞ filter for singular systems. IEEE Transactions on Automatic Control 2003; 48(12):2217-2222.
25. 2/H∞ controllers for singular systems. IEEE Transactions on Circuits and Systems-II: Analog and Digital Signal Processing 2003; 50:615-626.
26. Hu H, Zhang Q, Zhao D. Delay-dependent stability of uncertain descriptor system with interval time-varying delay. International Journal of Information and Systems Sciences 2008; 4:534-547.
27. Xu S, Lam J, Zou Y. An improved characterization of bounded realness for singular delay systems and its applications. International Journal of Robust and Nonlinear Control 2008; 18:263-277.
28. Wu Z, Zhou W. Delay-dependent robust H∞ control for uncertain singular time-delay systems. IET Control Theory and Applications 2007; 1:1234-1241. (Pubitemid 47283313)
29. Sun X, Zhang Q. Delay-dependent robust stabilization for a class of uncertain singular delay systems. International Journal of Innovative Computing, Information and Control 2009; 5:1231-1242.
30. Du Z, Zhang Q, Liu L. Delay-dependent stabilization of uncertain singular systems with multiple state delays. International Journal of Innovative Computing, Information and Control 2009; 5:1655-1664.
31. Du Z, Zhang Q, Liu L. Delay-dependent robust H∞ control for uncertain singular systems with multiple state delays. IET Control Theory and Applications 2009; 3:731-740.