Non-fragile H∞ filtering for discrete-time networked systems with multiple communication delays

This paper is concerned with the non-fragile H_∞ filtering for a class of discrete-time networked systems with multiple communication delays. We model such a complex delay system as a switched system. For the filtering implementation uncertainty, a stochastic variable is employed to describe the phenomenon of the randomly occurring filter gain change, and a norm bound is used to measure the change size. With the switched system theory and the stochastic system analysis, a new sufficient condition is obtained such that the filtering error system is exponentially stable in the mean square sense and achieves a prescribed H_∞ performance level. A numerical example is given to show the effectiveness of the proposed design.