H∞ Filtering of 2-D FM LSS Model with State Delays

In this paper, we deal with H∞ 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∞ filtering design is developed, such that the filtering error system is asymptotically stable and has H∞ performance via LMIs’ feasibility. Furthermore, the minimum H∞ norm bound can be obtained by solving a linear objective optimization problem. A numerical example is given to demonstrate the effectiveness and advantage of our result.