Robust H_∞ Filter Design for 2D Discrete Systems in Roesser Model

This paper investigates the robust H filtering problem for uncertain two-dimensional (2D) systems described by the Roesser model.The parameter uncertainties considered in this paper are assumed to be of polytopic type.A new structured polynomi- ally parameter-dependent method is utilized,which is based on homogeneous polynomially parameter-dependent matrices of arbitrary degree.The proposed method includes results in the quadratic framework and the linearly parameter-dependent framework as special cases for zeroth degree and first degree,respectively.A numerical example illustrates the feasibility and advantage of the proposed filter design methods.