Finite frequency H∞ filtering for continuous 2-D roesser systems

This paper considers the problem of finite frequency (FF) H
_∞
filtering for two-dimensional (2-D) continuous systems described by the Roesser state-space. Our attention is focused on designing filters guaranteeing the bounded-input-bounded-output(BIBO) stability and FF H
_∞
disturbance attenuation level of the filtering error system. By the generalized Kalman-Yakubovich-Popov lemma for 2-D continuous systems, the existence conditions of FF H
_∞
filters are obtained in terms of solving liner matrix inequalities (LMIs). An example is given to validate the proposed methods.