Delay-dependent H∞H∞ filtering of a class of switched discrete-time state delay systems

In this paper, the problem of delay-dependent H∞H∞ filtering for a class of discrete-time switched systems with state delays is investigated under arbitrary switching using a parametrized approach. Attention is focused on the design of asymptotically stable filter guaranteeing a prescribed noise attenuation level in the H∞H∞ sense. By using switched Lyapunov functionals, sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs), the solution of which constructs the desired H∞H∞ filter under arbitrary switching. Numerical examples are provided to demonstrate the effectiveness of the proposed techniques.