Kalman filtering for fuzzy discrete time dynamic systems

Applied Soft Computing Journal

Volumn 3, Issue 3, 2003, Pages 191-207

  Simon, Dan ^a  

^a Cleveland State University   (United States)

Author keywords

Kalman filter; Optimality; Stability; State estimation; T S fuzzy model

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONTROL; INTERPOLATION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING; STABILITY; STATE ESTIMATION;

DYNAMIC SYSTEMS; FUZZY STATE; OPTIMALITY; T-S FUZZY MODEL;

KALMAN FILTERING;

EID: 11144326350     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1568-4946(03)00034-6     Document Type: Article

References (36)

1. B. Anderson, J. Moore, Optimal Filtering, Prentice-Hall, Englewood Cliffs, New Jersey, 1979.
2. J. Buckley, Sugeno type controllers are universal controllers, Fuzzy Sets Syst. 53 (1993) 299-303.
3. S. Cao, N. Rees, G. Feng, Analysis and design of fuzzy control systems using dynamic fuzzy global models, Fuzzy Sets Syst. 75 (1995) 47-62.
4. S. Cao, N. Rees, G. Feng, H-infinity control of nonlinear continuous time systems based on dynamical fuzzy models, Int. J. Syst. Sci. 27 (1996) 821-830.
5. S. Cao, N. Rees, G. Feng, Analysis and design for a class of complex control systems. Part I: Fuzzy modelling and identification, Automatica 33 (6) (1997) 1017-1028.
6. S. Cao, N. Rees, G. Feng, Analysis and design for a class of complex control systems. Part II: Fuzzy controller design, Automatica 33 (6) (1997) 1029-1039.
7. C. Chen, Linear System Theory and Design, Oxford University Press, New York, 1999.
8. ∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach, IEEE Trans. Fuzzy Syst. 8 (3) (2000) 249-265.
9. G. Chen, J. Wang, L. Shieh, Interval Kalman filtering, IEEE Trans. Aerosp. Electron. Syst. 33 (1997) 250-259.
10. G. Chen, Q. Xie, L. Shieh, Fuzzy Kalman filtering, Inf. Sci. 109 (1998) 197-209.
11. G. Feng, S. Cao, N. Rees, C. Chak, Design of fuzzy control systems with guaranteed stability, Fuzzy Sets Syst. 85 (1997) 1-10.
12. A. Gelb, Applied Optimal Estimation, MIT Press, Cambridge, Massachusetts, 1974.
13. T. Johansen, Fuzzy model based control: stability, robustness, and performance issues, IEEE Trans. Fuzzy Syst. 2 (3) (1994.) 221-234.
14. T. Johansen, R. Shorten, R. Murray-Smith, On the interpretation and identification of dynamic Takagi-Sugeno fuzzy models, IEEE Trans. Fuzzy Syst. 8 (3) (2000) 297-313.
15. R. Kalman, R. Bucy, New results in linear filtering and prediction, J. Basic Eng. (ASME) 83D (1961) 95-108.
16. ∞ control of uncertain fuzzy dynamic systems with time-varying delay, IEEE Trans. Fuzzy Syst. 8 (2000) 657-664.
17. J. Lo, Y. Chen, Stability issues on Takagi-Sugeno fuzzy model-parametric approach, IEEE Trans. Fuzzy Syst. 7 (5) (1999) 597-607.
18. X. Ma, Z. Sun, Y. He, Analysis and design of fuzzy controller and fuzzy observer, IEEE Trans. Fuzzy Syst. 6 (1) (1998) 41-51.
19. M. Oussalah, J. DeSchutter, Possibilistic Kalman filtering for radar 2D tracking, Inf. Sci. 130 (2000) 85-107.
20. R. Shorten, R. Murray-Smith, R. Bjorgan, H. Gollee, On the interpretation of local models in blended multiple model structures, Int. J. Control 72 (7-8) (1999) 620-628.
21. T. Takagi, M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst. Man Cybernetics SMC-15 (1) (1985) 116-132.
22. K. Tanaka, M. Sugeno, Stability analysis and design of fuzzy control systems, Fuzzy Sets Syst. 45 (1992) 135-156.
23. K. Tanaka, M. Sano, A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer, IEEE Trans. Fuzzy Syst. 2 (2) (1994) 119-134.
24. K. Tanaka, M. Sano. Trajectory stabilization of a model car via fuzzy control, Fuzzy Sets Syst. 70 (1995) 155-170.
25. ∞ control theory, and linear matrix inequalities, IEEE Trans. Fuzzy Syst. 4 (1) (1996) 1-13.
26. K. Tanaka, T. Kosaki, Design of a stable fuzzy controller for an articulated vehicle, IEEE Trans. Syst. Man Cybernetics Part B: Cybernetics 27 (3) (1997) 552-558.
27. K. Tanaka, T. Ikeda, H. Wang, Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs, IEEE Trans. Fuzzy Syst. 6 (2) (1998) 250-265.
28. H. Wang, K. Tanaka, M. Griffin, An approach to fuzzy control of nonlinear systems: stability and design issues, IEEE Trans. Fuzzy Syst. 4 (1) (1996) 14-23.
29. L. Wang, Universal approximation by hierarchical fuzzy systems. Fuzzy Sets Syst. 93 (1998) 223-230.
30. Z. Weng, G. Chen, L. Shieh, J. Larsson, Evolutionary programming Kalman filter, Inf. Sci. 129 (2000) 197-210.
31. S. Wu, C. Lin, Optimal fuzzy controller design: local concept approach, IEEE Trans. Fuzzy Syst. 8 (2) (2000) 171-185.
32. S. Wu, C. Lin, Optimal fuzzy controller design in continuous fuzzy system: global concept approach, IEEE Trans. Fuzzy Syst. 8 (6) (2000) 713-729.
33. H. Ying, General SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators, IEEE Trans. Fuzzy Syst. 6 (1998) 582-587.
34. H. Ying, General Takagi-Sugeno fuzzy systems with simplified linear rule consequent are universal controllers, J. Inf. Sci. 108 (1998) 91-107.
35. H. Ying, Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy systems with linear rule consequent, IEEE Trans. Syst. Man Cybernetics 28 (1998) 515-520.
36. K. Zeng, N. Zhang, W. Xu, A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as universal approximators, IEEE Trans. Fuzzy Syst. 8 (6) (2000) 773-780.