Delay-Dependent ${H}_{\infty }$ Filtering of Piecewise-Linear Systems With Time-Varying Delays

This paper investigates H_infin filtering design problems for discrete time piecewise-linear systems with constant or time-varying delays. Firstly, a novel delay-dependent piecewise Lyapunov-Krasovskii functional (LKF) is proposed, in which both the upper and the lower bound of delays are considered. Then, based on this piecewise LKF, the delay-dependent stability criteria of systems with constant or time-varying delays are obtained, respectively, and piecewise H_infin filtering design approaches are proposed. It is shown that our stability analysis is less conservative and the corresponding H_infin filtering can achieve better performance. The filtering parameters can be obtained by solving a set of linear matrix inequalities (LMIs). Simulation examples are also given to illustrate the performance of the proposed approaches.