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Robust synchronization of Sprott circuits using sliding mode control

Author

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  • Almeida, David I. Rosas
  • Alvarez, Joaquín
  • Barajas, Juan Gonzalo

Abstract

We present a robust algorithm to synchronize, under the master/slave configuration, a class of piecewise linear chaotic systems known as Sprott circuits. The synchronization objective is to obtain identical synchronization between the master and slave systems in spite of the existence of external perturbations and parametric variations. The sliding control technique is used to design the coupling signal. This discontinuous controller renders the closed loop system robust with respect to matched bounded disturbances and to terms produced by parametric variations. The performance of the proposed controlled synchronization is illustrated numerically and experimentally.

Suggested Citation

  • Almeida, David I. Rosas & Alvarez, Joaquín & Barajas, Juan Gonzalo, 2006. "Robust synchronization of Sprott circuits using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 11-18.
  • Handle: RePEc:eee:chsofr:v:30:y:2006:i:1:p:11-18
    DOI: 10.1016/j.chaos.2005.09.011
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    Cited by:

    1. Wang, Jiang & Chen, Lisong & Deng, Bin, 2009. "Synchronization of Ghostburster neuron in external electrical stimulation via H∞ variable universe fuzzy adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2076-2085.
    2. Sun, Li & Wang, Jiang & Deng, Bin, 2009. "Global synchronization of two Ghostburster neurons via active control," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1213-1220.
    3. Peng, Ya-Fu, 2009. "Robust intelligent backstepping tracking control for uncertain non-linear chaotic systems using H∞ control technique," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2081-2096.
    4. Wang, Jiang & Zhang, Zhen & Li, Huiyan, 2008. "Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1332-1339.
    5. Minati, Ludovico & Frasca, Mattia & Valdes-Sosa, Pedro A. & Barbot, Jean-Pierre & Letellier, Christophe, 2023. "Flatness-based real-time control of experimental analog chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Yu Feng & Zhouchao Wei & Uğur Erkin Kocamaz & Akif Akgül & Irene Moroz, 2017. "Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria," Complexity, Hindawi, vol. 2017, pages 1-11, May.

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