Design of non-fragile robust H∞ filter for fuzzy stochastic systems with time-varying delay

This paper concerns the design of the non-fragile H_∞ filter for the fuzzy system with time-varying delays. Attention is focused on the design of the filter which is subject to gain variations, such that the filtering system is robustly stable with a prescribed H_∞ performance level for all admissible uncertainties. A delay-dependent sufficient condition for the existence of such filters is obtained in terms of a linear matrix inequality, and a numerical example is given to proof the effectiveness of the method.