The equivalence of the anti-windup control design and the explicit model-based parametric controller

In this paper it is shown that under certain conditions the explicit model-based tracking optimal control law for constrained input linear dynamic systems results in the same control actions as a certain class of anti-windup control design techniques. This work clearly demonstrates how parametric programming transforms systematically the complex model-based advanced control technology to a simple anti-windup control scheme that features the significant benefits of broad industrial recognition and applicability. The equivalence of the two schemes is shown via theoretical arguments and a simple SISO plant example.