H∞ filtering of 2-D FM LSS model with state delays

In this paper, we deal with H_infin filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM) second model. Based on the bounded real lemma of 2-D state-delayed systems, H_infin filtering design is developed, such that the filtering error system is asymptotically stable and has H_infin performance gamma via LMIspsila feasibility. Furthermore, the minimum H_infin norm bound gamma can be obtained by solving a linear objective optimization problem. A numerical example is given to demonstrate the effectiveness and advantage of our result.