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Impulsive control for T–S fuzzy model-based chaotic systems

Author

Listed:
  • Zhong, Qishui
  • Bao, Jingfu
  • Yu, Yongbin
  • Liao, Xiaofeng

Abstract

This paper provides an impulsive control scheme for chaotic systems based on their Takagi–Sugeno (T–S) fuzzy models. Firstly, we utilize a T–S fuzzy model to represent a chaotic system. Secondly, using comparison methods, a general asymptotical stability criteria is derived for chaotic systems with impulsive effects. Finally, as an illustrative example, Lorenz system is considered to verify the effectiveness of the control scheme.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:79:y:2008:i:3:p:409-415
    DOI: 10.1016/j.matcom.2008.01.027
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    References listed on IDEAS

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    1. Sun, Jitao, 2004. "Impulsive control of a new chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(6), pages 669-677.
    2. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
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    Cited by:

    1. 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.
    2. Zhang, Yu, 2017. "Global exponential stability of delay difference equations with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 183-194.
    3. Tao Wu & Jinde Cao & Lianglin Xiong & Haiyang Zhang, 2019. "New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control," Complexity, Hindawi, vol. 2019, pages 1-15, November.

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