Application of RBF Neural Network to Simplify the Potential Based Optimization

  • Authors:
  • Kanjian Zhang;Chunbo Feng

  • Affiliations:
  • Research Institute of Automation, Southeast University, Nanjing 210096, P.R. China;Research Institute of Automation, Southeast University, Nanjing 210096, P.R. China

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

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Abstract

A policy iteration approach to optimal control problems for a class of nonlinear stochastic dynamic system is introduced. Some parameters and nonlinearities of the system are not required to be known a-priori. An optimality equation is developed based on performance potential. The potential can be estimated by a sample path, and then it is approximated by RBF neural network. As a result, an on-line algorithm is proposed by using a sample path of the given control system.