Delay-dependent Non-fragile H_∞ Filtering for Uncertain Fuzzy Systems Based on Switching Fuzzy Model and Piecewise Lyapunov Function

This paper is concerned with the non-fragile H filter design problem for uncertain discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay.To begin with,the T-S fuzzy system is transformed to an equivalent switching fuzzy system.Then,based on the piecewise Lyapunov function and matrix decoupling technique,a new delay-dependent non-fragile H filtering method is proposed for the switching fuzzy system.The proposed condition is less conservative than the previous results.Since only a set of LMIs is involved,the filter parameters can be solved directly.Finally,a design example is provided to illustrate the validity of the proposed method.