Stabilising observer controllers for 2-d linear discrete systems with delays

This paper is aimed to design state observer controllers for a class of 2D linear discrete systems with delays such the feedback control system is asymptotically stable. The approach adopted here is the linear matrix inequality (LMI) framework. The key point to solve the problem is the introduction of a Lyapunov function for evaluating the energy of the systems. Finally, we emphasize that work on the asymptotic stability of these kinds of systems via 2D observers with delays is a novelty, to the best of author's knowledge