Exponential H_∞ filtering for discrete-time switched state-delay systems under asynchronous switching

The exponential H_∞ filtering problem of discrete-time switched state-delay systems under asynchronous switching is considered in this paper. The objective is to design a full-order or reduced-order switched filter guaranteeing the exponential stability with the weighted H_∞ performance of the filtering error system. A sufficient condition for the exponential stability with the weighted H_∞ performance of the filtering error system is provided based on delay-dependent multiple Lyapunov-Krasovskii functionals. The gains of the filter can be obtained by solving a set of linear matrix inequalities. A numerical example is presented to demonstrate the effectiveness of the developed results.