H∞ filtering for nonlinear discrete-time systems subject to quantization and packet dropouts

IEEE Transactions on Fuzzy Systems

Volumn 19, Issue 2, 2011, Pages 353-365

  Zhang, Changzhu ^a   Feng, Gang ^a,b   Gao, Huijun ^c   Qiu, Jianbin ^a,c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

H filter design; measurement quantization; packet dropouts; piecewise Lyapunov functions

Indexed keywords

BINARY DISTRIBUTION; COMMUNICATION CHANNEL; ERROR SYSTEMS; FILTER DESIGN PROCEDURE; FILTER DESIGNS; FILTER PARAMETER; ILLUSTRATIVE EXAMPLES; LYAPUNOV MATRIX; NONLINEAR DISCRETE-TIME SYSTEMS; NUMERICALLY TRACTABLE; PACKET DROPOUTS; PIECE-WISE; PIECEWISE-LYAPUNOV FUNCTIONS; QUANTIZATION ERRORS; SYSTEM MATRICES;

DESIGN; DIFFERENTIAL EQUATIONS; DIGITAL CONTROL SYSTEMS; FILTER BANKS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; RANDOM ERRORS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 79953656475     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2010.2098880     Document Type: Article

References (40)

1. R. E. Kalman, "A new approach to linear filtering and prediction problems," J. Basic Eng., vol. 82, no. 1, pp. 35-45, 1960.
2. G. Wei, Z. Wang, and H. Shu, "Robust filtering with stochastic nonlinearities and multiple missing measurements," Automatica, vol. 45, no. 3, pp. 836-841, Mar. 2009.
3. H. Qi and J. B. Moore, "Direct Kalman filtering approach for GPS/INS integration," IEEE Trans. Aerosp. Electron. Syst., vol. 38, no. 2, pp. 687-693, Apr. 2002. (Pubitemid 34750610)
4. ∞ filtering of network-based systems with random delay," Signal Process., vol. 89, no. 4, pp. 615-622, Apr. 2009.
5. ∞ design of optimal digital linear filters," IMA J. Math. Control Inf., vol. 6, no. 2, pp. 233-251, 1989. (Pubitemid 20638268)
6. ∞ filtering for uncertain discrete-time state-delayed systems," IEEE Trans. Signal Process., vol. 52, no. 6, pp. 1631-1640, Jun. 2004.
7. ∞ filtering design for discrete-time polytopic linear delay systems," IEEE Trans. Circuits Syst. II, Reg. Papers, vol. 55, no. 2, pp. 178-182, Feb. 2008.
8. ∞ filtering for fuzzy dynamical systems with D stability constraints," IEEE Trans. Circuits Syst. I: Fund. Theory Appl., vol. 50, no. 11, pp. 1503-1508, Nov. 2003.
9. S. Hu and Q. Zhu, "Stochastic optimal control and analysis of stability of networked control systems with long delay," Automatica, vol. 39, no. 11, pp. 1877-1884, Nov. 2003.
10. Y. Tipsuwan andM.-Y. Chow, "Control methodologies in networked control systems," Control Eng. Practice, vol. 11, no. 10, pp. 1099-1111, Oct. 2003. (Pubitemid 37245372)
11. ∞ control for networked systems with random packet losses," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 37, no. 4, pp. 916-924, Aug. 2007. (Pubitemid 47103942)
12. M. Fu andC. E.de Souza, "State estimation for linear discrete-time systems using quantized measurements," Automatica, vol. 45, no. 12, pp. 2937-2945, Dec. 2009.
13. ∞ Estimation for uncertain systems with limited communication capacity," IEEE Trans. Autom. Control, vol. 52, no. 11, pp. 2070-2084, Nov. 2007.
14. Z. Jin,V. Gupta, and R.M.Murray, "State estimation over packet dropping networks using multiple description coding," Automatica, vol. 42, no. 9, pp. 1441-1452, Sep. 2006. (Pubitemid 44080726)
15. ∞ filtering in networked control systems with multiple packet dropouts," Syst. Control Lett., vol. 57, no. 9, pp. 696-702, Sep. 2008.
16. Z. Wang, D. W. C. Ho, and X. Liu, "Variance-constrained filtering for uncertain stochastic systems with missing measurements," IEEE Trans. Autom. Control, vol. 48, no. 7, pp. 1254-1258, Jul. 2003.
17. ∞ control of systems with uncertainty," Automatica, vol. 41, no. 6, pp. 999-1007, Jun. 2005. (Pubitemid 40556809)
18. ∞ filtering for discrete-time systems with randomly varying sensor delays," Automatica, vol. 44, no. 7, pp. 1918-1922, Jul. 2008.
19. G. Feng, Analysis and Synthesis of Fuzzy Control Systems: AModel Based Approach. Boca Raton, FL: CRC, 2010.
20. ∞ static output feedback controller design for networked nonlinear systems," IEEE Trans. Fuzzy Syst., vol. 18, no. 5, pp. 919-934, Oct. 2010.
21. H. Li, B. Chen, Q. Zhou, and W. Qian, "Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 1, pp. 94-102, Feb. 2009.
22. ∞ filters for equalization designs of nonlinear communication systems: Fuzzy interpolation approach," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 384-398, Jun. 2003.
23. ∞ fuzzy output feedback control design for nonlinear systems: An LMI approach," IEEE Trans. Fuzzy Syst., vol. 11, no. 3, pp. 331-340, Jun. 2003.
24. H. D. Tuan, P. Apkarian, T. Narikiyo, and Y. Yamamoto, "Parameterized linear matrix inequality techniques in fuzzy control system design," IEEE Trans. Fuzzy Syst., vol. 9, no. 2, pp. 324-332, Apr. 2001. (Pubitemid 32505588)
25. G. Feng, "A survey on analysis and design of model-based fuzzy control systems," IEEE Trans. Fuzzy Syst., vol. 14, no. 5, pp. 676-697, Oct. 2006. (Pubitemid 44607782)
26. G. Feng, M. Chen, D. Sun, and T. Zhang, "Approaches to robust filtering design of discrete time fuzzy dynamic systems," IEEE Trans. Fuzzy Syst., vol. 16, no. 2, pp. 331-340, Apr. 2008. (Pubitemid 351586035)
27. ∞ filtering of time-delay T-S fuzzy systems based on piecewise Lyapunov-Krasovskii functional," Signal Process., vol. 89, no. 10, pp. 1998-2005, Oct. 2009.
28. ∞ filter design for discrete-time fuzzy systems with time-varying delays," IEEE Trans. Fuzzy Syst., vol. 17, no. 3, pp. 604-616, Jun. 2009.
29. ∞ filter design for uncertain Takagi-Sugeno fuzzy systems with time delay," Eng. Appl. Artif. Intell., vol. 17, no. 6, pp. 645-659, Sep. 2004.
30. ∞ filtering for discretetime delay fuzzy systems," IEEE Trans. Signal Process., vol. 54, no. 8, pp. 2897-2909, Aug. 2006. (Pubitemid 44131745)
31. ∞ filtering for discrete-time T-S fuzzy systems with time-varying delay," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1044-1058, Oct. 2009.
32. ∞ filtering of discrete-time fuzzy systems via basis-dependent Lyapunov function approach," Fuzzy Sets Syst., vol. 158, no. 2, pp. 180-193, Jan. 2007. (Pubitemid 44716350)
33. ∞ filtering for nonlinear discrete-time stochastic systems with randomly varying sensor delays," Automatica, vol. 45, no. 4, pp. 1032-1037, Apr. 2009.
34. ∞ filter design for a class of networked control systems via T-S fuzzy-model approach," IEEE Trans. Fuzzy Syst., vol. 18, no. 1, pp. 201-208, Feb. 2010.
35. ∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements," Automatica, vol. 45, no. 3, pp. 684-691, Mar. 2009.
36. M. Fu and L. Xie, "The sector bound approach to quantized feedback control," IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1698-1711, Nov. 2005. (Pubitemid 41748866)
37. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, no. 2, pp. 135-156, Jan. 1992.
38. ∞ fuzzy filtering of nonlinear systems with intermittent measurements," IEEE Trans. Fuzzy Syst., vol. 17, no. 2, pp. 291-300, Apr. 2009.
39. M. C. de Oliveira, J. Bernussou, and J. C. Geromel, "A new discrete-time robust stability condition," Syst. Control Lett., vol. 37, no. 4, pp. 261-265, Mar. 1999. (Pubitemid 129609014)
40. ∞ filtering design for discrete-time switched polytopic linear systems," IET Control Theory Appl., vol. 2, no. 5, pp. 420-430, May 2008. (Pubitemid 351776418)