On the synthesis of model-following two-dimensional digital systems

Abstract

This paper considers the model-following problem (MFP) of a two-dimensional digita system by the geometric approach. This is the problem of synthesizing a compensating control scheme for a 2D system so that the transfer matrix of the resulting closed-loop system coincides with the transfer matrix of a pre-specified two-dimensional digital model. Necessary and sufficient conditions for the existence of a solution to the problem are given. Under certain circumstances, the conditions lead to a constructive procedure for finding a solution, if it exists. Using the results of this paper, it is possible to find a solution of the MFP of a delay-differential system and a distributed system.