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Guaranteed cost control of time-delay chaotic systems

Author

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  • Park, Ju H.
  • Kwon, O.M.

Abstract

This article studies a guaranteed cost control problem for a class of time-delay chaotic systems. Attention is focused on the design of memory state feedback controllers such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Using the Lyapunov method and LMI (linear matrix inequality) framework, two criteria for the existence of the controller are derived in terms of LMIs. A numerical example is given to illustrate the proposed method.

Suggested Citation

  • Park, Ju H. & Kwon, O.M., 2006. "Guaranteed cost control of time-delay chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1011-1018.
    • Handle: RePEc:eee:chsofr:v:27:y:2006:i:4:p:1011-1018
    DOI: 10.1016/j.chaos.2005.04.076
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    Cited by:

    1. Pan, Shing-Tai & Lai, Chih-Chin, 2008. "Identification of chaotic systems by neural network with hybrid learning algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 233-244.
    2. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    3. Chen, Bing & Liu, Xiaoping & Tong, Shaocheng, 2008. "Robust fuzzy control of nonlinear systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 894-901.
    4. Cheng, Chun-Kai & Kuo, Hang-Hong & Hou, Yi-You & Hwang, Chi-Chuan & Liao, Teh-Lu, 2008. "Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3093-3102.

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