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Stabilization for uncertain Takagi–Sugeno fuzzy systems with time-varying delays and bounded uncertainties

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  • Lien, Chang-Hua

Abstract

Robust stabilization problem for Takagi–Sugeno fuzzy systems with time-varying state and input delays is considered. LMI-based delay-dependent stabilizability criteria are proposed to guarantee the asymptotic stabilization of a class of fuzzy systems with bounded nonlinear uncertainties. Linear matrix inequality (LMI) approach is based on convex optimization and can be solved directly by LMI toolbox of Matlab. From the simulation results, significant improvement over the recent results can be observed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:645-652
    DOI: 10.1016/j.chaos.2005.11.008
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    References listed on IDEAS

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    1. 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. 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.
    2. Li, Lixiang & Yang, Yixian & Peng, Haipeng, 2009. "Fuzzy system identification via chaotic ant swarm," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 401-409.
    3. 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.
    4. Long Sheng & Xiaoyu Ma, 2014. "Stability analysis and controller design of interval type-2 fuzzy systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 977-993, May.
    5. 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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