Robust H∞ filtering for uncertain 2-D singular systems with delays

This paper addresses the robust. H infinity Filter Design for uncertain 2-D discrete singular systems with delays described by the Roesser model. Attention is focused on the design of an 2-D filter such that the error system is acceptable, jump modes free and internal stable, and preserves a guaranteed H infinity performance. Thanks to the use of a larger number of slack variables, a new linear matrix inequality condition obtained for the existence of desired H infinity filters. Also, it is shown that the proposed filter design method is general containing recently published results as particular cases. Finally, illustrative examples are presented to show the applicability of the proposed method.