A robust fuzzy CMAC for function approximation

This paper proposes a new robust fuzzy CMAC algorithm for function approximation. The advantages of CMAC neural network are fast learning convergence, capable of mapping nonlinear functions quickly due to its local generalization of weight updating. In this paper, in order to overcome the problems of function approximation for a nonlinear system with noise and outliers, a robust fuzzy clustering method is proposed to greatly mitigate the influence of noise and outliers and then a new CMAC learning process used to learn the nonlinear system's features for function approximation.

[1]  Bart Kosko,et al.  Fuzzy Systems as Universal Approximators , 1994, IEEE Trans. Computers.

[2]  James S. Albus,et al.  New Approach to Manipulator Control: The Cerebellar Model Articulation Controller (CMAC)1 , 1975 .

[3]  Ming-Feng Yeh,et al.  On-line adaptive quantization input space in CMAC neural network , 2002, IEEE International Conference on Systems, Man and Cybernetics.

[4]  Shun-Feng Su,et al.  Credit assigned CMAC and its application to online learning robust controllers , 2003, IEEE Trans. Syst. Man Cybern. Part B.

[5]  Shun-Feng Su,et al.  The annealing robust backpropagation (ARBP) learning algorithm , 2000, IEEE Trans. Neural Networks Learn. Syst..

[6]  Xiaoou Li,et al.  Fuzzy identification using fuzzy neural networks with stable learning algorithms , 2004, IEEE Transactions on Fuzzy Systems.

[7]  Zne-Jung Lee,et al.  Robust and fast learning for fuzzy cerebellar model articulation controllers , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[8]  Hung-Ching Lu,et al.  Enhance the performance of CMAC neural network via fuzzy theory and credit apportionment , 2002, Proceedings of the 2002 International Joint Conference on Neural Networks. IJCNN'02 (Cat. No.02CH37290).

[9]  HORNG-LIN SHIEH,et al.  A ROBUST APPROACH OF FUZZY CLUSTERING ON DATA SETS WITH NOISE AND OUTLIERS , 2006, Cybern. Syst..

[10]  James S. Albus,et al.  Data Storage in the Cerebellar Model Articulation Controller (CMAC) , 1975 .