Robust finite frequency H∞H∞ filtering for uncertain 2-D Roesser systems

This paper investigates the problem of robust finite frequency (FF) H∞H∞ filtering for two-dimensional (2-D) Roesser models with polytopic uncertainties. Our attention is focused on designing filters guaranteeing the robustly asymptotic stability and FF H∞H∞ disturbance attenuation level of the filtering error system. By the parameter-dependent idea and the generalized Kalman–Yakubovich–Popov lemma for 2-D Roesser models, the existence conditions of robust FF H∞H∞ filters are obtained in terms of solving an optimization problem, which is more general than the existing results. An example is given to validate the proposed methods. The contribution of the paper is twofold: (1) systematic methods are proposed for designing FF H∞H∞ filters for Roesser models; (2) an improved strategy has been presented to deal with the robust H∞H∞ filter design for Roesser models.