Abstract
This paper treats the problem of matching the transfer function matrix of a given two-dimensional (2-D) system to that of a desired 2-D model by means of a 1-D dynamic feedback of the output, i.e., a 1-D dynamic compensator. The objective is to find a 1-D dynamic compensator such that the closed-loop transfer function matrix is exactly equal to the desired one. A necessary and sufficient condition for the existence of the 1-D dynamic compensator is examined and the general solution is given. Finally, an example is solved to illustrate the proposed technique.
