Weighting-dependent approach to fuzzy model-based robust L2-L∞ filtering for uncertain nonlinear stochastic systems

This note investigates the robust L₂-L_∞ filtering problem for a class of nonlinear uncertain stochastic delay systems-stochastic fuzzy delay systems. Attention is focused on the design of a fuzzy-rule-dependent filter that ensuring both the robust stability and a prescribed L₂-L_∞ performance level of the filtering error system. The weighting-dependent approach is adopted and delay-dependent sufficient conditions for the solvability of the problem are presented based on the linear matrix inequalities (LMIs) approach. A numerical example is provided at the end of this paper to demonstrate the effectiveness and usefulness of the proposed method.