RST-Based RBF Neural Network Modeling for Nonlinear System

  • Authors:
  • Tengfei Zhang;Jianmei Xiao;Xihuai Wang;Fumin Ma

  • Affiliations:
  • Department of Electrical and Automation, Shanghai Maritime University, Shanghai 200135, China;Department of Electrical and Automation, Shanghai Maritime University, Shanghai 200135, China;Department of Electrical and Automation, Shanghai Maritime University, Shanghai 200135, China;CIMS Research Center, Tongji University, Shanghai 200092, China

  • Venue:
  • ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
  • Year:
  • 2007

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Abstract

Due to its structural simplicity and good properties, radial basis function (RBF) neural network has increasingly been used in many areas for the solution of difficult real-world problems, especially the nonlinear system dynamic modeling. However, the major problem toward using RBF network is the appropriate selection of radial basis function parameters. The basis function parameters are in general the centers and the widths. Our attention in this paper is focused on the configuring the optimal set of parameters to make the networks small and efficient based on rough set theory (RST), which is a valid mathematical tool to perform data reduction. RST is first applied to extract the underlying rules from data. The condition components of the rules are then mapped into network centers. For improve performance, the width parameter of each hidden neuron is initialized individual. The valid of this algorithm is illustrated by an example on the modeling of a ship synchronous generator.