Robust H ∞ filter design for uncertain fuzzy neutral systems

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.