Online stabilization of chaotic maps via support vector machines based generalized predictive control

  • Authors:
  • Serdar Iplikci

  • Affiliations:
  • Department of Electrical and Electronics Engineering, Pamukkale University, Denizli, Turkey

  • Venue:
  • ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
  • Year:
  • 2006

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Abstract

In this study, the previously proposed Online Support Vector Machines Based Generalized Predictive Control method [1] is applied to the problem of stabilizing discrete-time chaotic systems with small parameter perturbations. The method combines the Accurate Online Support Vector Regression (AOSVR) algorithm [2] with the Support Vector Machines Based Generalized Predictive Control (SVM-Based GPC) approach [3] and thus provides a powerful scheme for controlling chaotic maps in an adaptive manner. The simulation results on chaotic maps have revealed that Online SVM-Based GPC provides an excellent online stabilization performance and maintains it when some measurement noise is added to output of the underlying map.