Linear LMI-based external anti-windup augmentation for stable linear systems

We study linear anti-windup augmentation for linear control systems with saturated linear plants in the special case when the anti-windup compensator can only modify the input and the output of the windup-prone linear controller. We also measure the arising performance in terms of the finite L2 gain from exogenous inputs to selected performance outputs. Our main results are a system theoretic feasibility characterization for fixed order anti-windup design and a linear matrix inequality (LMI) formulation for optimal static and plant-order antiwindup design. Interpretations of lower bounds on the achievable performance are also given. The effectiveness of the design procedure is demonstrated on a simulation example. 2004 Elsevier Ltd. All rights reserved.

• Type: Journal
• Year: 2004
• Where: AUTOMATICA
• Authors: Gene Grimm, Andrew R. Teel, Luca Zaccarian
• Keywords: AUTOMATICA 2004, Linear, Linear Anti-windup Augmentation, Linear Control Systems