Robust H1 Filtering for Uncertain Two-Dimensional Continuous Systems with Time-varying Delays

This paper deals with the problem of delay-dependent robust H1 filtering for uncertain two-dimensional (2-D) continuous systems described by Roesser state space model with time-varying delays, with the uncertain parameters assumed to be of polytopic type. A sufficient condition for H1 noise attenuation is derived in terms of linear matrix inequalities, so a robust H1 filter can be obtained by solving a convex optimization problem. Finally, some examples are provided to illustrate the effectiveness of the proposed methodology.