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Control, synchronisation and antisynchronisation of chaos in two non-identical Josephson junction models via sliding mode control and its FPGA implementation

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Abstract

The control, synchronisation and antisynchronisation of chaos in Josephson junction (JJ) and linear piecewise JJ models via sliding mode control method are investigated in this paper. Thanks to the Routh–Hurwitz stability criterion, the sliding mode controllers are designed to control chaos in JJ models and achieve synchronisation schemes between two non-identical JJ models. Numerical simulations are shown to clarify and confirm the chaos control and synchronisation schemes. Finally, field programmable gate array (FPGA) implementation is designed to reproduce the above-mentioned results and its correctness is confirmed using the FPGA analysis.

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Acknowledgements

This work is partially funded by the Centre for Nonlinear Systems, Chennai Institute of Technology, India via funding number CIT/CNS/2021/RD/009.

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Authors and Affiliations

  1. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, 600 069, India

    Balamurali Ramakrishnan & Karthikeyan Rajagopal

  2. Laboratory of Electronics and Signal Processing (LETS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Victor Kamdoum Tamba

  3. Department of Hydraulics and Water Management, National Advanced School of Engineering, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Jules Metsebo

  4. Department of Automotive and Mechatronics Engineering, National Advanced School of Engineering, University of Douala, Box 24, 2701  , Douala, Cameroon

    DiaNorré Tokoue Ngatcha

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  1. Balamurali Ramakrishnan
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  2. Victor Kamdoum Tamba
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  3. Jules Metsebo
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  4. DiaNorré Tokoue Ngatcha
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  5. Karthikeyan Rajagopal
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Correspondence to Jules Metsebo.

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Ramakrishnan, B., Tamba, V.K., Metsebo, J. et al. Control, synchronisation and antisynchronisation of chaos in two non-identical Josephson junction models via sliding mode control and its FPGA implementation. Pramana - J Phys 97, 46 (2023). https://doi.org/10.1007/s12043-023-02520-5

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  • DOI: https://doi.org/10.1007/s12043-023-02520-5

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