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Comparison of Swarm and Evolutionary Based Algorithms for the Stabilization of Chaotic Oscillations

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AETA 2016: Recent Advances in Electrical Engineering and Related Sciences (AETA 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 415))

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Abstract

In this research, evolutionary based algorithm Differential Evolution (DE) is compared with swarm based optimization technique PSO in the task of optimal evolutionary tuning of controller parameters for the stabilization of nonlinear chaotic oscillations of the two-dimensional Lozi map. The novelty of the approach is that the most utilized examples of evolutionary/swarm based algorithms are compared directly on the highly nonlinear and complex multimodal optimization and simulation task. The simulations were performed for two different required final behavior of the chaotic system.

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Acknowledgements

This work was supported by Grant Agency of the Czech Republic - GACR P103/15/06700S, further by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme project No. LO1303 (MSMT-7778/2014) and also by the European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089, partially supported by Grant of SGS No. SP2016/175 of VSB - Technical University of Ostrava, Czech Republic and by Internal Grant Agency of Tomas Bata University under the project No. IGA/CebiaTech/2016/007.

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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, Michal Pluhacek & Adam Viktorin

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

    Ivan Zelinka

Authors
  1. Roman Senkerik
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  2. Ivan Zelinka
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  3. Michal Pluhacek
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  4. Adam Viktorin
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Corresponding author

Correspondence to Roman Senkerik .

Editor information

Editors and Affiliations

  1. Department of Automatic Control, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Vo Hoang Duy

  2. International Cooperation, Research and Training Institute, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Tran Trong Dao

  3. Department of Mechanical Design Engineering, Pukyong National University, Busan, Vietnam

    Sang Bong Kim

  4. Department of Mechanical Engineering, Hochiminh City University of Technology, Ho Chi Minh City, Vietnam

    Nguyen Tan Tien

  5. Faculty of Electrical Engineering and Computer Science, VŠB-TUO, Ostrava, Czech Republic

    Ivan Zelinka

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Senkerik, R., Zelinka, I., Pluhacek, M., Viktorin, A. (2017). Comparison of Swarm and Evolutionary Based Algorithms for the Stabilization of Chaotic Oscillations. In: Duy, V., Dao, T., Kim, S., Tien, N., Zelinka, I. (eds) AETA 2016: Recent Advances in Electrical Engineering and Related Sciences. AETA 2016. Lecture Notes in Electrical Engineering, vol 415. Springer, Cham. https://doi.org/10.1007/978-3-319-50904-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-50904-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50903-7

  • Online ISBN: 978-3-319-50904-4

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