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Robust fuzzy control of a class of fuzzy bilinear systems with time-delay

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  • Tsai, Shun-Hung
  • Li, Tzuu-Hseng S.

Abstract

This paper presents robust fuzzy controllers for a class of T–S fuzzy bilinear systems (FBSs) with time-delay. First, we adopt the parallel distributed compensation (PDC) method to design a fuzzy controller to stabilize the T–S FBS with time-delay. The stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Secondly, we propound some LMI conditions to set up the robust controller to stabilize the uncertain T–S FBS with time-delay. Finally, the validity and applicability of the proposed schemes are demonstrated by simulations.

Suggested Citation

  • Tsai, Shun-Hung & Li, Tzuu-Hseng S., 2009. "Robust fuzzy control of a class of fuzzy bilinear systems with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2028-2040.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2028-2040
    DOI: 10.1016/j.chaos.2007.06.057
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    References listed on IDEAS

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    1. Zuo, X.Q. & Fan, Y.S., 2006. "A chaos search immune algorithm with its application to neuro-fuzzy controller design," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 94-109.
    2. J. D. Chen, 2007. "Robust H ∞ Output Dynamic Observer-Based Control Design of Uncertain Neutral Systems," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 193-211, January.
    3. Yau, Her-Terng & Chen, Chieh-Li, 2006. "Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 709-718.
    4. 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.
    5. Kim, Jae-Hun & Park, Chang-Woo & Kim, Euntai & Park, Mignon, 2005. "Adaptive synchronization of T–S fuzzy chaotic systems with unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1353-1361.
    6. Chen, Jenq-Der, 2007. "Robust H∞ output dynamic observer-based control of uncertain time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 391-403.
    7. Cui, Bao Tong & Hua, Min Gang, 2006. "Robust passive control for uncertain discrete-time systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 331-341.
    8. 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.
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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.

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