ℋ∞ Filtering for Fuzzy Dynamical Systems with D Stability Constraints

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 50, Issue 11, 2003, Pages 1503-1508

  Nguang, Sing Kiong ^a   Assawinchaichote, Wudhichai ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Fuzzy system models; Lyapunov function; Stabilizing controller

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; CONTROL EQUIPMENT; ERROR ANALYSIS; FUZZY SETS; LINEAR CONTROL SYSTEMS; LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; SET THEORY;

DYNAMICAL SYSTEMS;

SIGNAL FILTERING AND PREDICTION;

EID: 0242527254     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2003.818624     Document Type: Article

References (21)

1. H. Kwakernaak, "A polynomial approach to minimax frequency domain optimization of multivariable feedback systems," Int. J. Control, vol. 44, pp. 117-156, 1986.
2. ∞ design of optimal linear filters," in Linear Circuits, Systems, and Signal Processing: Theory and Application, C. Byrnes, C. F. Martin, and R. E. Saeks, Eds. Amsterdam, The Netherlands: North-Holland, 1988, pp. 533-540.
3. ∞, filtering," in Proc. 9th Int. Symp. MTNS, 1991, pp. 317-322.
4. ∞ setting," IEEE Trans. Automat. Contr., vol. 36, pp. 152-166, Feb. 1991.
5. T. Basar, "Optimum performance levels for minimax filters, predictors and smoothers," Syst. Control Lett., vol. 16, pp. 309-317, 1991.
6. ∞ estimation for uncertain systems," Int. J. Robust Nonlinear Control, vol. 2, pp. 87-105, 1992.
7. ∞ filtering," Automatica, vol. 32, pp. 1195-1199, 1996.
8. S. K. Nguang and P. Shi, "On designing of filters for uncertain sampled-data nonlinear systems," Syst. Control Lett., vol. 41, pp. 305-316, 2000.
9. ∞ filtering of sampled-data systems," Automatica, vol. 36, pp. 303-310, 2000.
10. L. Zadeh, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. Syst. Man, Cybern., vol. SMC-3, pp. 28-44, 1973.
11. K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets Syst., vol. 45, pp. 135-156, 1992.
12. ∞ control theory, and linear matrix inequality," IEEE Trans. Fuzzy Syst., vol. 4, pp. 1-13, Feb. 1996.
13. H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: Stability and design issues," IEEE Trans. Fuzzy Syst., vol. 4, pp. 14-23, Feb. 1996.
14. S. K. Nguang and P. Shi, "Stabilization of a class of nonlinear time-delay systems using fuzzy models," in Proc. 39th IEEE Conf. Decision and Control, Sydney, Australia, 2000, pp. 4415-4419.
15. ∞ fuzzy output feedback control design for nonlinear systems: an LMI approach," in Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, 2001, pp. 2501-2506.
16. ∞ output feedback control of nonlinear systems under sampled measurements," in Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, 2001, pp. 120-126.
17. L. X. Wang, A Course in Fuzzy Systems and Control. Englewood Cliffs, NJ: Prentice-Hall, 1997.
18. ∞ design with pole placement constraints: an LMI approach," IEEE Trans. Automat. Contr., vol. 41, pp. 358-367, Mar. 1996.
19. M. Chilali, P. Gahinet, and P. Apkarian, "Robust pole placement in LMI regions," IEEE Trans. Automat. Contr., vol. 44, pp. 2257-2270, 1999.
20. ∞, control with pole placement: state-feedback case," in Proc. Amer. Contr. Conf, 1993, pp. 2777-2779.
21. ∞ Control for Fuzzy Dynamical Systems With D Stability Constraints," Ph.D. dissertation, Dep. of Eng., Univ. of Auckland, Auckland, New Zealand.