A new approach to robust H∞ filtering for 2-D systems in Roesser model

This paper addresses the design of robust H_∞ filters for polytopic 2-D discrete systems described by the well-known Roesser model. By establishing a novel version of bounded real lemma, the polynomially parameter-dependent approach is developed to solve the addressed filtering problem, with a new linear matrix inequality condition obtained for the existence of desired H_∞ filters. The merit of the presented method lies in the reduced conservatism than the conventional robust filter design methods, as shown both theoretically and through a numerical example.