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

Authors:
Gene Grimm;Andrew R. Teel;Luca Zaccarian
Affiliations:
Raytheon Company, Space and Airborne Systems, 2000 E. El Segundo Blvd, El Segundo, CA 90245, USA;Department of Electrical and Computer Engineering, University of California, Santa Barbara, CA 93106, USA;Dipartimento di Informatica, Sistemi e Produzione, University of Rome, Tor Vergata, 00133 Rome, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2004

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Abstract

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 L"2 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 anti-windup design. Interpretations of lower bounds on the achievable performance are also given. The effectiveness of the design procedure is demonstrated on a simulation example.