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On the Evolutionary Optimization of Chaos Control – A Brief Survey

  • Conference paper
Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 192))

Abstract

This work represents the brief introduction into the issues of evolutionary optimization of discrete chaotic systems. 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). The main part of this work is focused on the proper development of the cost function used in evolutionary process. As an example of discrete chaotic system, one-dimensional Logistic equation was used. For the experiments following soft computing tools were utilized: Symbolic regression tool Analytic Programming and evolutionary algorithms Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE).

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Authors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlin, Nam T.G. Masaryka 5555, 760 01, Zlin, Czech Republic

    Roman Senkerik

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  1. Roman Senkerik
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Correspondence to Roman Senkerik .

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Editors and Affiliations

  1. Faculty of Electrical Engineering and Co, Department of Computer Science, VŠB-Technical University of Ostrava, 17. listopadu 15, Ostrava-Poruba, 70833, Czech Republic

    Ivan Zelinka

  2. Institute of Physical and, Theoretical Chemistry, University of Tuebingen, Auf der Morgenstelle 8, Tuebingen, 72076, Germany

    Otto E. Rössler

  3. , Faculty of Electrical Engineering, Department of Computer Science, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Václav Snášel

  4. (MIR Labs), Scientific Network for Innovation and, Machine Intelligence Research Labs, MIR Labs Campus, Auburn, 98071, Washington, USA

    Ajith Abraham

  5. , Dept. de Informática y Automática, University of Salamanca, Plaza de la Merced, s/n, Salamanca, 37008, Spain

    Emilio S. Corchado

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Senkerik, R. (2013). On the Evolutionary Optimization of Chaos Control – A Brief Survey. In: Zelinka, I., Rössler, O., Snášel, V., Abraham, A., Corchado, E. (eds) Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems. Advances in Intelligent Systems and Computing, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33227-2_7

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  • DOI: https://doi.org/10.1007/978-3-642-33227-2_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33226-5

  • Online ISBN: 978-3-642-33227-2

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