A polynomial fuzzy neural network for identification and control

This paper introduces a new neuro-fuzzy system, an effective optimization method through a genetic algorithm, a performance criterion for model selection, and a numerical example to illustrate the proposed modeling and control approach. The neuro-fuzzy system is based on the polynomial fuzzy neural network architecture. A new performance criterion is defined based on the Group Method of Data Handling; it minimizes the output error while preventing overfitting of the empirical data set. The neuro-fuzzy model is employed to provide optimum set points for low-level control activity.

[1]  Jerry M. Mendel,et al.  Back-propagation fuzzy system as nonlinear dynamic system identifiers , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[2]  W. Pedrycz An identification algorithm in fuzzy relational systems , 1984 .

[3]  Chen-Wei Xu,et al.  Fuzzy systems identification , 1989 .

[4]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[5]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[6]  Kazuo Tanaka,et al.  Successive identification of a fuzzy model and its applications to prediction of a complex system , 1991 .

[7]  Kazuo Tanaka,et al.  Modeling and control of carbon monoxide concentration using a neuro-fuzzy technique , 1995, IEEE Trans. Fuzzy Syst..

[8]  A. G. Ivakhnenko,et al.  Polynomial Theory of Complex Systems , 1971, IEEE Trans. Syst. Man Cybern..

[9]  Witold Pedrycz Identification in fuzzy systems , 1984, IEEE Transactions on Systems, Man, and Cybernetics.

[10]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[11]  Yoshiki Uchikawa,et al.  On fuzzy modeling using fuzzy neural networks with the back-propagation algorithm , 1992, IEEE Trans. Neural Networks.

[12]  R. Tong The evaluation of fuzzy models derived from experimental data , 1980 .

[13]  Bruce Postlethwaite,et al.  A comparison of neural networks and fuzzy relational systems in dynamic modelling , 1994 .

[14]  K. Kupper Self learning fuzzy models using stochastic approximation , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[15]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[16]  Liang Wang,et al.  Complex systems modeling via fuzzy logic , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[17]  Derek A. Linkens,et al.  Fuzzy-neural control: principles, algorithms and applications , 1995 .