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Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system

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  • Zhao, Junchan
  • Lu, Jun-an

Abstract

This paper investigates control and synchronization of a new hyperchaotic system which was proposed by [Chen A, Lu J-A, Lü J, Yu S. Generating hyperchaotic Lü attractor via state feedback control. Physica A 2006;364:103–10]. Firstly, we give different sampled-data feedback control schemes with the variation of system parameter d. Specifically, we only use one controller to drive the system to the origin when d∈(−0.35,0), and use two controllers if d∈[0,1.3]. Next, we combine PC method with linear feedback approach to realize synchronization, and derive similar conclusions with varying d. Numerical simulations are also given to validate the proposed approaches.

Suggested Citation

  • Zhao, Junchan & Lu, Jun-an, 2008. "Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 35(2), pages 376-382.
    • Handle: RePEc:eee:chsofr:v:35:y:2008:i:2:p:376-382
    DOI: 10.1016/j.chaos.2006.05.035
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    References listed on IDEAS

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    1. Chen, Aimin & Lu, Junan & Lü, Jinhu & Yu, Simin, 2006. "Generating hyperchaotic Lü attractor via state feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 103-110.
    2. Yan, Jianping & Li, Changpin, 2005. "On synchronization of three chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1683-1688.
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