Multiple stage anti-windup augmentation synthesis for open-loop stable plants

In this note we enhance the concept of scheduled anti-windup gains by developing an approach that uses a combination of dynamic and static augmentation loops, to exploit the simple structure of the static Anti-Windup techniques with the strong feasibility that is associated with dynamic Anti-Windup loops. We present preliminary results for the combination of a single static and a single dynamic Anti-Windup gains. We develop the synthesis LMIs, for two levels of saturation: moderate (static loop active) and severe (both loops active). Benefits of the proposed design method over the traditional single gain Anti-Windup compensation are demonstrated using a well-known example.