H∞ filter design for singular time-delay systems ZWu

Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering

Volumn 223, Issue 7, 2009, Pages 1001-1015

  Su, H ^a   Chu, J ^a  

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

Author keywords

Delay dependent; Filtering; H ; Linear matrix inequality; Singular systems; Time delay systems

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT; FILTER DESIGNS; FILTERING; FILTERING PROBLEMS; LINEAR MATRIX INEQUALITY APPROACH; NUMERICAL EXAMPLE; SINGULAR SYSTEMS; SINGULAR TIME DELAY SYSTEM; TIME-DELAY SYSTEMS;

LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; TIME DELAY;

DELAY CONTROL SYSTEMS;

EID: 70350373426     PISSN: 09596518     EISSN: None     Source Type: Journal    
DOI: 10.1243/09596518JSCE792     Document Type: Article

References (40)

1. Boukas, E. K. Control of singular systems with random abrupt changes, 2008 (Springer, Berlin, Germany).
2. Xu, S. and Lam, J. Robust control and filtering of singular systems, 2006 (Springer, Berlin, Germany).
3. Boukas, E. K. On state feedback stabilization of singular systems with random abrupt changes. J. Optimization Theory and Applic., 2008, 137, 335-345
4. Ma, S. and Zhang, C. Robust stability and H∞ control for uncertain discrete Markovian jump singular systems with mode-dependent time-delay. Int. J. Robust and Nonlinear Control 2009, 19, 965-985
5. Dai, L. Singular control systems, 1989 (Springer, Berlin, Germany).
6. Xu, S., Dooren, P. V., Stefan, R., and Lam, J. Robust stability analysis and stabilization for singular systems with state delay and parameter uncertainty. IEEE Trans. Autom. Control, 2002, 47, 1122-1128 (Pubitemid 34835337)
7. Nagpal, K. M. and Khargonekar, P. P. Filtering and smoothing in an H∞ setting. IEEE Trans. Autom. Control, 1991, 36, 152-166
8. Dong, H., Wang, Z., and Gao, H. H∞ filtering for systems with repeated scalar nonlinearities under unreliable communication links. Signal Processing, 2009, 89, 1567-1575
9. Wang, Z., Liu, Y., and Liu, X. H∞ filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities. Automatica, 2008, 44, 1268-1277
10. Zhang, L., Boukas, E. K., and Shi, P. Exponential H∞ filtering for uncertain discrete-time switched linear systems with average dwell time: a μ- dependent approach Int. J. Robust and Nonlinear Control, 2008, 18, 1188-1207
11. Fridman, E., Shaked, U., and Xie, L. Robust H∞ filtering of linear systems with time varying delay. IEEE Trans. Autom. Control, 2003, 48, 159-165
12. Dong, Y., Sun, J., and Wu, Q. H∞ filtering for a class of stochastic Markovian jump systems with impulsive effects. Int. J. Robust and Nonlinear Control, 2008, 18, 1-13
13. Shen, B., Wang, Z., Shu, H., and Wei, G. H∞ filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays. Automatica, 2009, 45, 1032-1037
14. Shen, B., Wang, Z., Shu, H., and Wei, G. On nonlinear H∞ filtering for discrete-time stochastic systems with missing measurements. IEEE Trans. Autom. Control, 2008, 53, 2170-2180
15. He, X., Wang, Z., and Zhou, D. Robust H∞ filtering for time-delay systems with probabilistic sensor faults. IEEE Signal Processing Lett., 2009, 16, 442-445
16. Lin, C., Wang, Q., Lee, T. H., and He, Y. LMI approach to analysis and control of Takagi-Sugeno fuzzy systems with time delay, 2007 (Springer, Berlin, Germany
17. Wang, D., Wang, W., and Shi, P. Exponential H∞ filtering for switched linear systems with interval time-varying delay. Int. J. Robust and Nonlinear Control, 2009, 19, 532-551
18. Zhang, X. and Han, Q. A less conservative method for designing H∞ filters for linear time-delay systems. Int. J. Robust and Nonlinear Control, 2009, 19, 1376-1396
19. Zhang, X. and Han, Q. Robust H∞ filtering for a class of uncertain linear systems with time-varying delay. Automatica, 2008, 44, 157-166
20. Zhou, S. and Feng, G. H∞ filtering for discrete-time systems with randomly varying sensor delays. Automatica, 2008, 44, 1918-1922
21. Xu, S., Lam, J., and Yang, C. H∞ filter for singular systems. IEEE Trans. Autom. Control, 2003, 48, 2217-2222
22. Xu, S. and Lam, J. Reduced-order H∞ filter for singular systems. Syst. and Control Lett., 2007, 56, 48-57
23. Lee, C. M. and Fong, I. K. H∞ optimal singular and normal filter design for uncertain singular systems. IET Control Theory and Applic., 2007, 1, 119-126
24. de Souza, C. E., Barbosa, K. A., and Fu, M. Robust filtering for uncertain linear discrete-time descriptor systems. Automatica, 2008, 4, 792-798
25. Zhang, B., Zhou, S., and Du, D. Robust H∞ filtering of delayed singular systems with linear fractional parametric uncertainties. Circuits, Syst. and Signal Processing2006, 25, 627-647
26. Yue, D. and Han, Q. Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Trans. Signal Processing, 2004, 52, 3200-3212
27. Fridman, E. and Shaked, U. H∞ control of linear state-delay descriptor systems: an LMI approach. Linear Algebra and its Applic., 2002, 351-352, 271-302
28. Wu, Z. and Zhou, W. Delay-dependent robust H∞ control for uncertain singular time-delay systems. IET Control Theory and Applic., 2007, 1, 1234-1241 (Pubitemid 47283313)
29. Shu, Z. and Lam, J. Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays. Int. J. Control, 2008, 81, 865-882
30. Wu, Z., Su, H., and Chu, J. Robust stabilization for uncertain discrete singular systems with state delay. Int. J. Robust and Nonlinear Control, 2008, 18, 1532-1550
31. Gu, K., Kharitonov, V. K., and Chen, J. Stability of time-delay systems, 2003 (Birkhauser, Boston, Massachusetts).
32. Wu, M., He, Y., She, J., and Liu, G. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica, 2004, 40, 1435-1439
33. He, Y., Wu, M., She, J., and Liu, G. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst. and Control Lett., 2004, 51, 57-65
34. He, Y., Wang, Q., Xie, L., and Lin, C. Further improvement of free-weighting matrices technique for systems with time-varying delay. IEEE Trans. Autom. Control, 2007, 52, 293-299
35. He, Y., Wang, Q., and Lin, C. An improved H∞ filter design for systems with time-varying interval delay. IEEE Trans. Circuits and Syst., Part II: Express Briefs, 2006, 53, 1235-1239
36. He, Y., Wu, M., Liu, G., and She, J. Output feedback stabilization for a discrete-time system with a time- varying delay. IEEE Trans. Autom. Control, 2008, 35, 2327-2377
37. Zhong, R. and Yang, Z. Delay-dependent robust control of descriptor systems with time delay. Asian J. Control, 2006, 8, 36-44
38. Yue, D. and Han, Q. Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proc. Control Theory and Applic2005, 152, 628-638 (Pubitemid 44532747)
39. Xu, S., Lam, J., and Zou, Y. An improved characterization of bounded realness for singular delay systems and its applications. Int. J. Robust and Nonlinear Control, 2008, 18, 263-277
40. Boukas, E. K. Singular linear systems with delay: H∞ stabilization. Optimal Control Applic. and Meth., 2007, 28, 259-274