Robust H∞ filtering of fuzzy dynamic systems

IEEE Transactions on Aerospace and Electronic Systems

Volumn 41, Issue 2, 2005, Pages 658-670

  Feng, Gang ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUZZY CONTROL; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL FILTERING AND PREDICTION; SYSTEM STABILITY;

FUZZY DYNAMIC SYSTEMS; LINEAR MATRIX INEQUALITITES; LYAPUNOV FUNCTION; STABILITY THEORY;

NONLINEAR CONTROL SYSTEMS;

EID: 24944538821     PISSN: 00189251     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAES.2005.1468755     Document Type: Article

References (31)

1. Zadeh, L. A. Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics, 3 (1973), 28-44.
2. Cao, S. G., Rees, N. W., and Feng, G. Analysis and design of fuzzy control systems using dynamical fuzzy global models. Fuzzy Sets and Systems, 75 (1995), 47-62.
3. ∞ control of nonlinear continuous-time systems based on dynamic fuzzy models. International Journal of Systems Science, 27, 9 (1996), 821-830.
4. Cao, S. G., Roes, N. W., and Feng, G. Analysis and design for a class of complex control systems, Part I: fuzzy modeling and identification. Automatica, 33, 6 (1997), 1017-1028.
5. Cao, S. G., Roes, N. W., and Feng, G. Analysis and design for a class of complex control systems, Part II: Fuzzy controller design. Automatica, 33, 6 (1997), 1029-1039.
6. Chen, C. L., Chen, P. C., and Chen, C. K. Analysis and design of fuzzy control system. Fuzzy Sets and Systems, 57 (1993), 125-140.
7. Feng, G., Cao, S. G., Roes, N. W., and Chak, C. K. Design of fuzzy control systems with guaranteed stability. Fuzzy Sets and Systems, 85, 1 (1997), 1-10.
8. ∞, control of a class of nonlinear systems. Automatica, 32, 10 (1996), 1469-1474.
9. ∞ design of optimal filters. In C. I. Byrnes, C. F. Martin and R. E. Saeks (Eds.), Linear Circuits, Systems and Signal Processing: Theory and Applications, North-Holland, Amsaterdam, 1988, 533-540.
10. Kickert, W. J., and Mamdani, E. H. Analysis of a fuzzy logic controller. Fuzzy Sets and Systems, 1 (1978), 29-44.
11. Ma, X., Sun, Z., and He, Y. Analysis and design of fuzzy controller and fuzzy observer. IEEE Transactions on Fuzzy Systems, 6 (1998), 41-51.
12. Mamdani, E. H., and Assilian, S. Applications of fuzzy algorithms for control of simple dynamic plant. IEE Proceedings, Pt. D, 121 (1974), 1585-1588.
13. Skelton, R. E., and Iwasaki, T. Increased roles of linear algebra in control education. IEEE Control Systems Magazine, 15, 4 (1995), 76-90.
14. Sugeno, M. Industrial Applications of Fuzzy Control. New York: Elsevier, 1985.
15. Sugeno, M., and Kang, G. T. Structure identification of fuzzy model. Fuzzy Sets and Systems, 28 (1988), 15-33.
16. Sugeno, M., and Nishida, G. T. Fuzzy control of model car. Fuzzy Sets and Systems, 16 (1985), 103-113.
17. Takagi, T., and Sugeno, M. Fuzzy identification of systems and its application to modelling and control. IEEE Transactions on Systems, Man, and Cybernetics, 15 (1985), 116-132.
18. Tanaka, K., Ikeda, T., and Wang, H. Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI based design. IEEE Transactions on Fuzzy Systems, 6 (1998), 250-265.
19. Tanaka, K., and Sugeno, M. Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems, 45 (1992), 135-156.
20. Tanaka, K., and Sano, M. A robust stabilization problem of fuzzy control systems and its application to backing up control of a track-trailer. IEEE Transactions on Fuzzy Systems, 2 (1994), 119-134.
21. Teixeira, M. C. M., and Zak, S. H. Stabilizing controller design for uncertain nonlinear systems using fuzzy models. IEEE Transactions on Fuzzy Systems, 7 (1999), 133-142.
22. Tong, R. M. A control engineering review of fuzzy systems. Automatica, 13 (1977), 559-568.
23. ∞ estimation for discrete time linear uncertain systems. International Journal of Robust and Nonlinear Control, 1 (1991), 111-123.
24. Wang, Z., and Burnham, K. J. Robust filtering for a class of stochastic uncertain nonlinear time-delay systems via exponential state estimation. IEEE Transactions on Signal Processing, 49, 4 (2001), 794-804.
25. ∞ filtering. IEEE Transactions on Singal Processing, 45 (1997), 1338-1350.
26. Geromel, J. C. Optimal linear filtering under parameter uncertainty. IEEE Transactions on Signal Processing, 47, 1 (Jan. 1999), 168-175.
27. ∞ filtering design for discrete time uncertain systems. IEEE Transactions on Aerospace and Electronic Systems, 37, 1 (Jan. 2001), 292-296.
28. ∞ robust filtering for discrete time linear systems. SIAM Journal of Control Optimization, 38, 5 (2001), 1353-1368.
29. ∞ robust filtering for convex bounded uncertain systems. IEEE Transactions on Automatic Control, 46, 1 (2001), 100-107.
30. Tuan, H. D., Apkarian, P., and Nguyen, T. Q. Robust and reduced-order filtering: New LMI-based characterizations and methods. IEEE Transactions on Signal Processing, 49, 12 (2001), 2975-2984.
31. Boyd, S. P., El Ghaoui, L., Feron, E., and Balakrishnan, V. Linear Matrix Inequalities in System and Control Theory. SIAM Studies in Applied Mathematics, Philadelphia, 1994.