Robust H∞ filter design for 2DFM model

This paper is concerned with the robust H_∞ filtering problem for uncertain two-dimensional (2-D) systems described by the Fornasini-Marchesini model. The polynomially parameter-dependent idea is first utilized to solve the robust H_∞ filtering problem, with sufficient conditions for existence of the desired H_∞ filters expressed in terms of linear matrix inequalities (LMIs). These conditions are developed based on homogeneous polynomially parameter-dependent matrices of arbitrary degree. As the degree grows, test of increasing precision is obtained providing less conservative filter designs. An example is given to show the effectiveness of the proposed approach.