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Utilization of analytic programming for the evolutionary synthesis of the robust multi-chaotic controller for selected sets of discrete chaotic systems

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Abstract

A novel tool for symbolic regression, analytical programming and its application for the synthesis of a new robust feedback control law are presented in this paper. This synthesized robust chaotic controller secures the fully stabilization of several selected sets containing one-dimensional, two-dimensional and evolutionary synthesized discrete chaotic systems. The paper consists of the descriptions of analytic programming as well as selected chaotic systems, used heuristic and cost function design. For experimentation, self-organizing migrating algorithm and differential evolution were used.

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Acknowledgments

This work was supported by European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089, by Grant Agency of the Czech Republic—GACR P103/13/08195S, by the Development of human resources in research and development of latest soft computing methods and their application in practice project, reg. no. CZ.1.07/2.3.00/20.0072 funded by Operational Programme Education for Competitiveness, co-financed by ESF and state budget of the Czech Republic, partially supported by Grant of SGS No. SP2013/114, VSB—Technical University of Ostrava; by the Technology Agency of the Czech Republic under the Project TE01020197, and by Internal Grant Agency of Tomas Bata University under the project No. IGA/FAI/2013/012.

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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, Zuzana Kominkova Oplatkova, Bronislav Chramcov & Michal Pluhacek

  2. Faculty of Electrical Engineering and Computer Science, Technical University of Ostrava, 17. listopadu 15, 708 33 , Ostrava-Poruba, Czech Republic

    Ivan Zelinka & Donald D. Davendra

Authors
  1. Roman Senkerik
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  2. Zuzana Kominkova Oplatkova
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  3. Ivan Zelinka
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  4. Bronislav Chramcov
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  5. Donald D. Davendra
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  6. Michal Pluhacek
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Correspondence to Roman Senkerik.

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Communicated by I. Zelinka.

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Senkerik, R., Kominkova Oplatkova, Z., Zelinka, I. et al. Utilization of analytic programming for the evolutionary synthesis of the robust multi-chaotic controller for selected sets of discrete chaotic systems . Soft Comput 18, 651–668 (2014). https://doi.org/10.1007/s00500-014-1220-1

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