L-2 - L-infinity Filtering For a Class T-S Fuzzy Discrete Systems Under Stochastic Perturbation

Abstract : This work tackles the L-2 - L-infinity filter design problem for the discrete-time Takagi-Sugeno (T-S) fuzzy stochastic systems. The approach based on the (T-S) fuzzy systems, and the objective is to provide a new design with sufficient condition via LMI procedure. Less conservative results are obtained through the use of the projection lemma to introduce additional free matrices. These tools allow to obtain a full-order filter design with extra degree of freedom in order to optimize the L-2-L-infinity performance. At the end, several examples are used to illustrate the efficiency of the proposed approach.