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Robust fuzzy control of nonlinear systems with input delay

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  • Chen, Bing
  • Liu, Xiaoping
  • Tong, Shaocheng

Abstract

This paper discusses the stabilization problem for nonlinear systems with input delay through Takagi–Sugeno (T–S) fuzzy model approach. The input delay is assumed to be constant and unknown. Delay-dependent stabilization conditions are presented in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of the proposed design method.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:894-901
    DOI: 10.1016/j.chaos.2006.09.091
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Minglai Chen & Junmin Li, 2015. "Non-fragile guaranteed cost control for Takagi–Sugeno fuzzy hyperbolic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(9), pages 1614-1627, July.
    2. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.

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