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Modern Anti-windup SynthesisControl Augmentation for Actuator Saturation$
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Luca Zaccarian and Andrew R. Teel

Print publication date: 2011

Print ISBN-13: 9780691147321

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691147321.001.0001

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Static Linear Anti-windup Augmentation

Static Linear Anti-windup Augmentation

Chapter:
(p.77) Chapter Four Static Linear Anti-windup Augmentation
Source:
Modern Anti-windup Synthesis
Author(s):

Luca Zaccarian

Andrew R. Teel

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691147321.003.0004

This chapter describes the first constructive tools for anti-windup augmentation. It considers the simplest possible augmentation scheme that may induce on the closed loop the qualitative objectives of anti-windup augmentation, possibly in addition to some of the quantitative performance objectives. The focus is on the “static linear anti-windup” augmentation architecture, wherein the difference between the input and the output of the saturation block drives a static linear system that injects modification signals into the unconstrained controller dynamics. Before introducing the anti-windup design algorithms, the chapter discusses suitable state–space representations of the control systems, along with algorithms providing global and regional guarantees. The class of algorithms examined here is based on linear matrix inequalities that, when appropriately solved, provide gain selections that correspond to optimal values of certain performance measures.

Keywords:   anti-windup augmentation, closed loop, anti-windup, static linear anti-windup, saturation, unconstrained controller, state–space representation, linear matrix inequalities

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