Robust image filter design for uncertain fuzzy neutral systems

This paper investigates the problem of robust image 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 image 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 image fuzzy filter is readily given when these LMIs are feasible. Finally, the image 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.