Reduced order linear anti-windup augmentation for stable linear systems

In this paper we provide algorithms based on Linear Matrix Inequalities for the design of fullauthority and external linear anti-windup compensators of reduced order guaranteeing finite global L2 gain. Previous results showed that the reduced order anti-windup design problem is non-convex. We propose here a convex approximation of the non-convex constraints leading to constructive design algorithms. The proposed algorithms are successfully tested on two simulation examples taken from the literature.