Robust H∞ filter design for uncertain fuzzy neutral systems

  • Authors:

  • Jun Yang;Shouming Zhong;Guihua Li;Wenpin Luo

  • Affiliations:

  • School of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, PR China and School of Applied Mathematics, University of Electronic Science and Technology of Chin ...;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, PR China;School of Computer Science, Civil Aviation Flight University of China, Guanghan, Sichuan 618307, PR China;College of Science, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

This paper investigates the problem of robust H"~ filtering for a class of uncertain Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delay and linear fractional parametric uncertainties. The aim is to design an asymptotically stable fuzzy filter ensuring asymptotical stability and prescribed H"~ performance of the filtering error system for all admissible uncertainties. Based on the Lyapunov-Krasovskii functional, the Barbalat lemma and the LMI approach, delay-dependent sufficient conditions for the solvability of this problem are proposed in terms of LMIs, and an explicit expression of the desired H"~ fuzzy filter is readily given when these LMIs are feasible. Finally, the H"~ filter design problem for a neutral-type nonlinear distributed network (long line with tunnel diode) is considered in the simulation example to demonstrate the effectiveness and applicability of the proposed method.