Reduced-order H∞ filter design method for uncertain differential linear repetitive processes

This paper is concerned with the reduce-order H∞ filtering problem for uncertain differential linear repetitive processes (LRPs). 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∞ reduce-order filter. Finally, illustrative example are presented to show the applicability of the proposed method.