Fuzzy local linearization and local basis function expansion in nonlinear system modeling

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 29, Issue 4, 1999, Pages 559-565

  Gan, Qiang ^a   Harris, Chris J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DATA REDUCTION; FUZZY SETS; LINEARIZATION; MATHEMATICAL MODELS; MEMBERSHIP FUNCTIONS; NEURAL NETWORKS;

B-SPLINES; FUZZY LOCAL LINEARIZATION; FUZZY MODELS; LOCAL BASIS FUNCTION EXPANSION; NEURO FUZZY NETWORKS; NONLINEAR SYSTEM MODELING;

NONLINEAR SYSTEMS;

EID: 0033177739     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/3477.775275     Document Type: Article

References (12)

1. H. Tanizaki, Nonlinear Filters: Estimation and Applications. Berlin, Germany: Springer, 1996.
2. M. Brown and C. J. Harris, Neurofuzzy Adaptive Modeling and Control. Englewood Cliffs, NJ: Prentice-Hall, 1994.
3. D. S. Broomhead and D. Lowe, "Multivariable function interpolation and adaptive networks," Complex Syst., vol. 2, pp. 321-355, 1988.
4. R. Murray-Smith and T. A. Johansen, Multiple Model Approaches to Modeling and Control. London, U.K.: Taylor & Francis, 1997.
5. T. A. Johansen and B. A. Goss, "Constructing NARMAX models using ARMAX models," Int. J. Contr., vol. 58, no. 5, pp. 1125-1153, 1993.
6. T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. Syst., Man, Cybern., vol. SMC-15, pp. 116-132, 1985.
7. T. Kavli, "ASMOD - An algorithm for adaptive spline modeling of observation data," Int. J. Contr., vol. 58, no. 4, pp. 947-967, 1993.
8. K. M. Bossley, "Neurofuzzy modeling approaches in system identification," Ph.D. dissertation, Univ. Southampton, U.K., 1997.
9. C. J. Stone, M. H. Hansen, C. Kooperberg, and Y. K. Truong, "1994 Wald Memorial Lecture: Polynomial splines and their tensor products in extended linear modeling," Ann. Statist., vol. 25, no. 4, pp. 1371-1470, 1997.
10. Z. Q. Wu and C. J. Harris, "A neurofuzzy network structure for modeling and state estimation of unknown nonlinear systems," Int. J. Syst. Sci., vol. 28, no. 4, pp. 335-345, 1997.
11. J. -S. R. Jang, "ANFIS: Adaptive-network-based fuzzy inference system," IEEE Trans. Syst., Man, Cybern., vol. 23, pp. 665-685, 1993.
12. M. Brown, S. R. Gunn, C. Y. Ng, and C. J. Harris, "Neurofuzzy systems modeling: A transparent approach," in Dealing with Complexity: A Neural Network Approach, K. Warwick, Ed. Berlin, Germany: Springer-Verlag, 1997.