Analysis and synthesis of anti-windup control system based on Youla parametrization

The 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 general characterization of AW controllers that directly utilizes a coprime factorization of the plant. It is proved by the multi-loop circle criterion that the global L₂ stability of the closed-loop system 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 method for the AW control synthesis 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 AW control for two-degree-of-freedom control systems.