Anti-windup synthesis for systems with rate-limits using Riccati equations

This paper develops an anti-windup scheme for systems with rate-limited actuators. The main results show how a full-order anti-windup compensator can be synthesised using an algebraic Riccati equation and several free parameters. A further result then shows how the free parameters may be chosen to influence, in an intuitive way, the local L2 gain of the system and the size of the region of attraction. The results are of interest due to their low computational burden and hence their applicability to systems of large state dimension.