Abstract
This paper is concerned with the analysis and synthesis of an anti-windup (AW) control system based on the Youla parametrization. The Youla parametrization enables us to derive a new characterization of anti-windup controllers that directly utilizes a coprime factorization of the plant. It is proved by the circle criterion that the closed-loop L2 stability is guaranteed if the coprime factor of the plant satisfies a certain strict positive realness condition. On the basis of this stability condition, we develop a new method for the anti-windup control design in terms of linear matrix inequalities. We also study the relation between the present AW controller and an IMC-based AW controller. Furthermore, we extend the above results to the anti-windup control for two-degree-of-freedom control systems.
