New LMI approach to nonfragile H∞ filtering for discrete-time Takagi-Sugeno fuzzy systems

This paper deals with the problem of nonfragile H_∞ filtering for a class of discrete-time nonlinear systems that are represented by a Takagi-Sugeno (T-S) fuzzy model. The main result given here concerns its nonfragile H_∞ filter design based on a relaxed approach in which both Finsler´s Lemma and delayed nonquadratic Lyapunov function are used. New filter design conditions are proposed in term of linear matrix inequalities (LMIs) which allow outperforming previous results found in the literature. Finally, an example is given to demonstrate the efficiency of the proposed approach.