H_∞ Filtering Of Uncertain Discrete-time Switched Systems With State Delays

In the paper,the problem of H_∞filtering for a class of discrete-time switched systems with state delay and uncertainty is investigated. Attention is focused on the design of a stable filter such that ,for all uncertainties and time-delays ,the filtering error system is robustly asymptotically internal stable ,the prescribed H_∞disturbance rejection attenuation level is guaranteed. Using the switched Lyapunov function technique , sufficient condition based on matrix inequality is proposed to guarantee the desired result. Sufficient condition for the existence of the filters are expressed in terms of a set of strict matrix inequalities.