ROBUST H∞ FILTERING OF UNCERTAIN TWO-DIMENSIONAL DISCRETE SYSTEMS WITH DELAYS

This work is concerned with the robust H-infinity filtering of two-dimensional (2D) discrete systems with state delays described by the Roesser state space model with uncertain parameters of the polytopic type problem. By using the parameter-dependent Lyapunov-Krasovski functional approach and by introducing some slack matrix variables, new sufficient conditions for the H-infinity performance analysis are developed in terms of linear matrix inequalities (LMIs). Based on those results, both types of parameter-dependent and independent filters are designed by solving a convex optimization problem. Finally, two numerical examples are introduced to illustrate the effectiveness, reduced conservatism and potential of the developed theoretical results.