Robust H-infinity filtering for 2D continuous systems with finite frequency specifications

Abstract : This paper investigates the design problem of robust H-infinity filtering for uncertain two-dimensional (2D) continuous systems described by Roesser modelwith polytopic uncertainties and frequency domain specifications. Our aim is to design a new filter guaranteeing an H-infinity performance level in specific finite frequency (FF) domains. Using the well-known generalised Kalman Yakubovich Popov lemma and homogeneous polynomially parameter-dependent matrices of arbitrary degrees, sufficient conditions for the existence of H-infinity filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities. Illustrative examples are provided to show the usefulness and potential of the proposed results.