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H∞ control for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and nonlinear perturbations

Author

Listed:
  • Lien, Chang-Hua
  • Yu, Ker-Wei
  • Chang, Deng-Hong
  • Chen, Wei-Da
  • Wan, Zhao-Lin
  • Chung, Yeong-Jay
  • Lu, Ming-Cheng

Abstract

This paper investigates the robust H∞ control for Takagi–Sugeno (T–S) fuzzy systems with time-varying delays and nonlinear perturbations. Delay-dependent criteria for uncertain fuzzy systems have been proposed. The LMI optimization approach is applied to solve the H∞ control problem and find the minimization of H∞ norm bound. Computer simulations show that significant improvement over the previous results can be obtained.

Suggested Citation

  • Lien, Chang-Hua & Yu, Ker-Wei & Chang, Deng-Hong & Chen, Wei-Da & Wan, Zhao-Lin & Chung, Yeong-Jay & Lu, Ming-Cheng, 2009. "H∞ control for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and nonlinear perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1426-1439.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1426-1439
    DOI: 10.1016/j.chaos.2007.06.009
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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. 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.
    3. 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.
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    Cited by:

    1. 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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