Modelling of Dynamic Systems Using Generalized RBF Neural Networks Based on Kalman Filter Mehtod

Authors:
Jun Li;You-Peng Zhang
Affiliations:
School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China;School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

A novel multi-input, multi-output generalized radial basis function (RBF) neural networks for nonlinear system modelling is presented in the paper, which uses extend Kalman filter to sequentially update both the output weights and the centers of the network. Simultaneously, such RBF models employ radial basis functions whose form is determined by admissible exponential generator functions. To test the validity of the proposed method, this paper demonstrates that generalized RBF neural networks with the extended Kalman filter can be used effectively for the identification and modelling of nonlinear dynamical systems. Simulation results reveal that the new generalized RBF networks guarantee faster learning and very satisfactory function approximation capability in modeling nonlinear dynamic systems.