Abstract

This paper investigates the problem of the L2 - L8 filtering for discrete- time Takagi- Sugeno fuzzy stochastic systems. The objective is to find new filter design conditions ensuring both the mean square asymptotic stability and prescribed L2 - L8 performance of the filtering error system. By means of a fuzzy Lypunov function and by introducing some slack variables through an appropriate use of the projection lemma, new analysis conditions of L2 - L8 performance are proposed. Then, the full and reduced- order L2 - L8 filter design conditions are proposed in Linear Matrix Inequality form. Finally, to illustrate the proposed approach, simulation and comparison with existing results in the literature are given.