Model matching of 2-D multi-input multi-output systems

Abstract An analysis of the exact model matching problems of 2- D linear multi-input multi-output systems is presented. The approach is based on input-output 2-D polynomial models and all solutions to the problem are expressed in a parametric form. Compact necessary and sufficient conditions for the existence of causal and stable solutions are given. A design procedure is proposed which provides a stable causal solution. It consists essentially of solving a linear equation in 2-D polynomial matrices.