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Synchronization of a modified Chua’s circuit system via adaptive sliding mode control

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  • Yan, Jun-Juh
  • Lin, Jui-Sheng
  • Liao, Teh-Lu

Abstract

This study addresses the adaptive synchronization of a modified Chua’s circuit system with both unknown system parameters and the nonlinearity in the control input. An adaptive switching surface is newly adopted such that it becomes easy to ensure the stability of the error dynamics in the sliding mode. Based on this adaptive switching surface, an adaptive sliding mode controller (ASMC) is derived to guarantee the occurrence of the sliding motion, even when the system is undergoing input nonlinearity. This method can also be easily extended to a general class of Chua’s circuits. An illustrative example is given to show the applicability of the proposed ASMC design.

Suggested Citation

  • Yan, Jun-Juh & Lin, Jui-Sheng & Liao, Teh-Lu, 2008. "Synchronization of a modified Chua’s circuit system via adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 45-52.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:1:p:45-52
    DOI: 10.1016/j.chaos.2006.06.008
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    References listed on IDEAS

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    1. Chen, Maoyin & Zhou, Donghua & Shang, Yun, 2005. "A new observer-based synchronization scheme for private communication," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1025-1030.
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    Cited by:

    1. Kocamaz, Uğur Erkin & Cevher, Barış & Uyaroğlu, Yılmaz, 2017. "Control and synchronization of chaos with sliding mode control based on cubic reaching rule," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 92-98.
    2. 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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