Finite frequency H ∞ filtering for uncertain two-dimensional continuous systems

This paper investigates the problem of robust finite frequency (FF) H ∞ filtering for two-dimensional (2D) continuous systems described by the Roesser state-space model with norm-bounded uncertainties. A further generalized Kalman–Yakubivich–Popov (KYP) lemma for 2D continuous Roesser systems is presented in a unified form. By the given generalized KYP lemma, the problem of standard H ∞ filtering for uncertain 2D continuous Roesser systems is extended to the FF case. Finally, an illustrative example is provided to validate the effectiveness of the proposed method.