Delay-dependent robust H∞H∞ filtering for uncertain 2-D state-delayed systems

For uncertain 2-D state-delayed systems in the Fornasini–Marchesini second model, this paper discusses the robust H∞H∞ filtering problem. Both filter analysis and synthesis problems are considered. Firstly, a stability condition and an H∞H∞-norm performance condition are derived. Then a set of delay-dependent sufficient conditions for the existence of desired robust H∞H∞ filters is expressed in terms of linear matrix inequalities. A numerical example is given in the last to show the application of the proposed filter design method.