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Reliable synchronization of nonlinear chaotic systems

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  • Kuo, Hang-Hong
  • Hou, Yi-You
  • Yan, Jun-Juh
  • Liao, Teh-Lu

Abstract

This article addresses the reliable synchronization problem for a general class of chaotic systems. By combining the Lyapunov stability theory with the linear matrix inequality (LMI) optimization technique, a reliable feedback controller is established to guarantee synchronization between the master and slave chaotic systems even though some control component (actuator) failures occur. Finally, an illustrative example is provided to demonstrate the effectiveness of the results developed in this paper.

Suggested Citation

  • Kuo, Hang-Hong & Hou, Yi-You & Yan, Jun-Juh & Liao, Teh-Lu, 2009. "Reliable synchronization of nonlinear chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1627-1635.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:5:p:1627-1635
    DOI: 10.1016/j.matcom.2008.07.009
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    References listed on IDEAS

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    1. Yau, Her-Terng & Chen, Chieh-Li, 2006. "Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 709-718.
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    3. Xiong, Wenjun & Xie, Wei & Cao, Jinde, 2006. "Adaptive exponential synchronization of delayed chaotic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 832-842.
    4. Sun, Jitao & Zhang, Yinping, 2004. "Impulsive control and synchronization of Chua’s oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 499-508.
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    2. Kajbaf, Amin & Akhaee, Mohammad Ali & Sheikhan, Mansour, 2016. "Fast synchronization of non-identical chaotic modulation-based secure systems using a modified sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 49-57.

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