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Robust H∞ control for uncertain T–S fuzzy systems with state and input delays

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  • Yu, Ker-Wei
  • Lien, Chang-Hua

Abstract

Robust H∞ control for Takagi–Sugeno (T–S) fuzzy systems with time-varying state and input delays is considered. At first, delay-dependent criterion for fuzzy system without uncertainties is proposed to design the H∞ control. Next, the delay-dependent criterion for uncertain fuzzy systems has been obtained by simple derivation. The LMI optimization approach is applied to solve the H∞ control problem and find the minimization of H∞ norm bound.

Suggested Citation

  • Yu, Ker-Wei & Lien, Chang-Hua, 2008. "Robust H∞ control for uncertain T–S fuzzy systems with state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 150-156.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:150-156
    DOI: 10.1016/j.chaos.2006.08.028
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    References listed on IDEAS

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    1. Lien, Chang-Hua, 2007. "Stabilization for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and bounded uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 645-652.
    2. Lien, Chang-Hua, 2006. "Further results on delay-dependent robust stability of uncertain fuzzy systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 422-427.
    3. Liu, Xingwen & Zhang, Hongbin & Zhang, Fengli, 2005. "Delay-dependent stability of uncertain fuzzy large-scale systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(1), pages 147-158.
    4. Lien, Chang-Hua & Yu, Ker-Wei, 2008. "Robust control for Takagi–Sugeno fuzzy systems with time-varying state and input delays," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 1003-1008.
    5. El Naschie, M.S., 2006. "On two new fuzzy Kähler manifolds, Klein modular space and ’t Hooft holographic principles," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 876-881.
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    Cited by:

    1. C. H. Lien & K. W. Yu, 2008. "Robust Reliable Control for Uncertain Time-Delay Systems with IQC Performance," Journal of Optimization Theory and Applications, Springer, vol. 138(2), pages 235-251, August.
    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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