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A Novel Approach to - Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays

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  • Xiaoyu Zhang
  • Cheng Gong
  • Zhen Zeng

Abstract

This paper investigates the - filtering problem of T-S fuzzy systems with multiple time-varying delays. First, by the Lyapunov-Krasovskii functional approach and free-weighting matrix method, a delay-dependent sufficient condition on - -disturbance attenuation is presented, in which both stability and prescribed - performance are required to be achieved for the filtering-error systems. Then, based on the condition, the full-order and reduced-order delay-dependent - filter design schemes for T-S fuzzy multiple time-varying delays systems are developed in terms of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.

Suggested Citation

  • Xiaoyu Zhang & Cheng Gong & Zhen Zeng, 2013. "A Novel Approach to - Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:298268
    DOI: 10.1155/2013/298268
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