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

摘要

For uncertain 2-D state-delayed systems in the Fornasini-Marchesini second model, this paper discusses the robust H_∞ filtering problem. Both filter analysis and synthesis problems are considered. Firstly, a stability condition and an H_∞-norm performance condition are derived. Then a set of delay-dependent sufficient conditions for the existence of desired robust 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.