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T–S fuzzy model-based impulsive control for chaotic systems and its application

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  • Liu, Yang
  • Zhao, Shouwei

Abstract

This paper provides the impulsive control for chaotic systems based on Takagi–Sugeno (T–S) model. A less conservative impulsive control scheme for chaotic systems based on their T–S fuzzy model is presented. Then the proposed impulsive control scheme is successfully applied to stabilize Lorenz system and the numerical simulation illustrates the effectiveness of our results.

Suggested Citation

  • Liu, Yang & Zhao, Shouwei, 2011. "T–S fuzzy model-based impulsive control for chaotic systems and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2507-2516.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:11:p:2507-2516
    DOI: 10.1016/j.matcom.2011.02.012
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    References listed on IDEAS

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    1. Liu, Feng & Guan, Zhi-Hong & Wang, Hua O. & Li, Yuqing, 2009. "Impulsive control of bifurcations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2180-2191.
    2. Wu, Xiaoqun & Lu, Jun-an & Tse, Chi K. & Wang, Jinjun & Liu, Jie, 2007. "Impulsive control and synchronization of the Lorenz systems family," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 631-638.
    3. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2008. "Impulsive control for T–S fuzzy model-based chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 409-415.
    4. Zheng, Yongai & Chen, Guanrong, 2009. "Fuzzy impulsive control of chaotic systems based on TS fuzzy model," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 2002-2011.
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    Cited by:

    1. Gavagsaz-Ghoachani, R. & Phattanasak, M. & Martin, J.-P. & Pierfederici, S. & Davat, B., 2013. "Predicting the onset of bifurcation and stability study of a hybrid current controller for a boost converter," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 91(C), pages 262-273.

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