A New Constructive Procedure for 2-D Coprime Realization in Fornasini–Marchesini Model

This paper presents a new constructive procedure for coprime realization of 2-D systems by means of the Fornasini-Marchesini second (FM-II) local state-space model. By exploiting the structural properties of an FM-II model realization, the proposed method can reduce the upper bound on the realization order for a large class of 2-D systems to about half of that obtained by the realization procedure given by the authors recently. It is also revealed that the new procedure is able to obtain minimal realizations for a much larger class of 2-D systems than the existing methods. Nontrivial examples are presented to illustrate the basic ideas and the effectiveness of the proposed method.