2D Model-Following Servo System

Abstract

The paper gives, in the practical sense that only one independent variable of the considered 2D (2-dimensional) systems is unbounded, a formulation for 2D model-following servo problem. That is to determine a control input such that the outputs of a given 2D plant asymptotically track, with tracking error as small as possible, the stop response of a given 2D model system as the unbounded variable approaches infinite. It is shown that this problem can be transformed into an equivalent 1D LQR problem, and thus can be essentially solved by 1D theory. The relationship between the solvability conditions obtained for the equivalent 1D system and the local controllability and observability of the original 2D plant is clarified. A numerical example is also shown.