Evolutionary and meta-evolutionary approach for the optimization of chaos control

  • Authors:

  • Roman Senkerik;Zuzana Oplatkova;Donald Davendra;Ivan Zelinka

  • Affiliations:

  • Faculty of Applied Informatics, Tomas Bata University, Zlin, Czech Republic;Faculty of Applied Informatics, Tomas Bata University, Zlin, Czech Republic;Faculty of Electrical Engineering and Computer Science, Technical University of Ostrava, Ostrava-Poruba, Czech Republic;Faculty of Electrical Engineering and Computer Science, Technical University of Ostrava, Ostrava-Poruba, Czech Republic

  • Venue:
  • SIDE'12 Proceedings of the 2012 international conference on Swarm and Evolutionary Computation
  • Year:
  • 2012

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Abstract

This paper deals with the optimization of control of Hénon Map, which is a discrete chaotic system. This paper introduces and compares evolutionary approach representing tuning of parameters for an existing control method, as well as meta-evolutionary approach representing synthesis of whole control law by means of Analytic Programming (AP). These two approaches are used for the purpose of stabilization of the stable state and higher periodic orbits, which stand for oscillations between several values of chaotic system. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE) were used.