Hλ filtering for discrete-time state-delayed systems with finite frequency specifications

IEEE Transactions on Automatic Control

Volumn 56, Issue 12, 2011, Pages 2935-2941

  Gao, Huijun ^a   Li, Xianwei ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Discrete time system; Finite frequency (FF); State delay; H infty filtering

Indexed keywords

BOUNDED REAL LEMMA; DISCRETE TIME SYSTEM; DISCRETE-TIME; EQUIVALENT APPROACH; FILTER DESIGNS; FINITE FREQUENCIES; FREQUENCY RANGES; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; STATE DELAY; STATE-DELAYED SYSTEMS;

DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS;

LINEAR MATRIX INEQUALITIES;

EID: 83255193577     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2159909     Document Type: Article

References (27)

1. R. E. Kalman, "A new approach to linear filtering and prediction problems," J. Basic Eng., vol. 82D, no. 1, pp. 35-45, 1960.
2. B. D. O. Anderson and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
3. A. Elsayed and M. J. Grimble, "A new approach to design of optimal digital linear filters," IMA J. Math. Control Inform., vol. 6, pp. 233-251, 1989. (Pubitemid 20638268)
4. C. E. de Souza, K. A. Barbosa, and A. T. Neto, "Robust filtering for discrete-time linear systems with uncertain time-varying parameters," IEEE Trans. Signal Process., vol. 54, no. 6, pp. 2110-2118 Jun. 2006. (Pubitemid 43811405)
5. J. C. Geromel and M. C. de Oliveira, "A and robust filtering for convex bounded uncertain systems," IEEE Trans. Autom. Control, vol. 46, no. 1, pp. 100-107, Jan. 2001.
6. R. M. Palhares and P. L. D. Peres, "Robust -filtering design with pole placement constraint via linear matrix inequalities," J. Optim. Theor. Appl., vol. 102, no. 2, pp. 239-261, Aug. 1999.
7. E. N. Gonçalves, R. M. Palhares, and R. H. C. Takahashi, "Filter design for systems with polytope-bounded uncertainty," IEEE Trans. Signal Process., vol. 54, no. 9, pp. 3620-3626, Sep. 2006.
8. P. Shi, "Filtering on sampled-data systems with parametric uncertainty," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 1022-1027, Jul. 1998.
9. H. R. Karimi, "Robust filter design for uncertain linear systems over network with network-induced delays and output quantization," Modeling Ident. Control, vol. 30, no. 1, pp. 27-37, 2009.
10. Z. Wang and K. J. Burnham, "Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation," IEEE Trans. Signal Process., vol. 49, no. 4, pp. 794-804, Apr. 2001. (Pubitemid 32407262)
11. F. O. Souza, R. M. Palhares, and K. A. Barbosa, "New improved delaydependent filter design for uncertain neutral systems," IET Control Theory Appl., vol. 2, no. 12, pp. 1033-1043, Dec. 2008.
12. R. M. Palhares, C. E. de Souza, and P. L. D. Peres, "Robust filtering for uncertain discrete-time state-delayed systems," IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1696-1703, Aug. 2001. (Pubitemid 32742685)
13. H. Gao and C. Wang, "A delay-dependent approach to robust filtering for uncertain discrete-time state-delayed systems," IEEE Trans. Signal Process., vol. 52, no. 6, pp. 1631-1640 Jun. 2004.
14. X. Zhang and Q. Han, "Delay-dependent robust filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 12, pp. 1466-1470, Dec. 2006. (Pubitemid 46443173)
15. J. Qiu, G. Feng, and J. Yang, "Improved delay-dependent filtering design for discrete-time polytopic linear delay systems," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 2, pp. 178-182 Feb. 2008.
16. Y. He, G. Liu, D. Rees, and M. Wu, "filtering for discrete-time systems with time-varying delay," Signal Process., vol. 89, no. 3, pp. 275-282, Mar. 2009.
17. X. Li, Z. Li, and H. Gao, "Further results on filtering for discretetime systems with state delay," Int. J. Robust Nonlin. Control, vol. 21, no. 3, pp. 248-270 Feb. 2011.
18. T. Iwasaki and S. Hara, "Generalized KYP lemma: Unified frequency domain inequalities with design applications," IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 41-59, Jan. 2005. (Pubitemid 40173723)
19. X.-N. Zhang and G.-H. Yang, "Delay-dependent filtering for discrete- time systems with finite frequency small gain specifications," in Proc. Joint 48th IEEE Conf. Dec. Control 28th Chinese Control Conf., Shanghai, China, Dec. 16-18, 2009, pp. 4420-4425.
20. F. Gouaisbaut and D. Peaucelle, "Delay-dependent stability analysis of linear time delay systems," in Proc. IFAC Workshop Time Delay Syst. (TDS'06), Aquila, Italy, Jul. 2006, [CD ROM].
21. D. Peaucelle, D. Arzelier, D. Henrion, and F. Gouaisbaut, "Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation," Automatica, vol. 43, no. 5, pp. 795-804, May 2007. (Pubitemid 46507428)
22. P. Gahinet, A. Nemirovskii, A. J. Laub, and M. Chilali, LMI Control Toolbox User's Guide. Natick, MA: The Math. Works Inc., 1995.
23. P. Gahinet and P. Apkarian, "A linear matrix inequality approach to control," Int. J. Robust Nonlin. Control, vol. 4, no. 4, pp. 421-448, Jul./Aug. 1994.
24. K. Gu, "An integral inequality in the stability problem of time-delay systems," in Proc. 39th IEEE Conf. Decision Control, Sydney, Australia, 2000, pp. 2805-2810. (Pubitemid 32528463)
25. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Englewood Cliffs, NJ.: Prentice-Hall, 1996.
26. J. M. Velni and K. M. Grigoriadis, "Delay-dependent filtering for time-delayed LPV systems," Syst. Control Lett., vol. 57, no. 4, pp. 290-299, Apr. 2008. (Pubitemid 351232064)
27. P.-A. Bliman, "LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals," Syst. Control Lett., vol. 43, no. 4, pp. 263-274, 2001. (Pubitemid 32663771)