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Application of Evolutionary Techniques for Optimization of Chaos Control – Introduction of Three Approaches

  • Roman Senkerik
  • Zuzana Oplatkova
  • Ivan Zelinka
  • Donald David Davendra
  • Roman Jasek
Part of the Intelligent Systems Reference Library book series (ISRL, volume 38)

Abstract

This research deals with the optimization of control of Hénon Map, which is a discrete chaotic system. This work introduces and compares evolutionary approach representing tuning of parameters for an existing control method either with the standard cost function using the numerical desired state as the one of the input or blackbox type cost function, as well as meta-evolutionary approach representing synthesis of a whole control law by means of Analytic Programming (AP). These three 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.

Keywords

Periodic Orbit Differential Evolution Chaotic System Evolutionary Approach Chaos Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Roman Senkerik
    • 1
  • Zuzana Oplatkova
    • 1
  • Ivan Zelinka
    • 2
  • Donald David Davendra
    • 2
  • Roman Jasek
    • 1
  1. 1.Faculty of Applied InformaticsTomas Bata University in ZlinZlinCzech Republic
  2. 2.Faculty of Electrical Engineering and Computer ScienceTechnical University of OstravaOstrava-PorubaCzech Republic

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