Randomized analysis and synthesis of robust linear static anti-windup

We consider robust linear static anti-windup design for linear control systems subject to input saturation with uncertain parameters. Within this context, we use scenario-based randomized techniques and revisit the well known LMI-based static anti-windup design technique for continuous-time linear control systems. The proposed approach leads to convex (LMI-based) techniques to construct a randomized robust nonlinear L₂ gain estimate and to design an optimal robust static linear anti-windup compensator. The advantages of the proposed technique are illustrated on a simulation example.