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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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Dynamic Linear Anti-windup Augmentation

Dynamic Linear Anti-windup Augmentation

Chapter:
(p.109) Chapter Five Dynamic Linear Anti-windup Augmentation
Source:
Modern Anti-windup Synthesis
Author(s):

Luca Zaccarian

Andrew R. Teel

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691147321.003.0005

This chapter introduces several algorithms for dynamic direct linear anti-windup (DLAW) compensation, with particular emphasis on algorithms with global performance and stability guarantees. It considers a generalization of the static linear anti-windup scheme wherein the matrix gains are replaced by a linear dynamic anti-windup compensator F with internal states. The static case is recovered by this dynamic generalization when the size of the anti-windup filter state is zero. The interconnection of the dynamic anti-windup filter resembles that of the static case. The chapter first describes key state–space representations of the control systems before discussing the factorization of rank-deficient matrices. It then examines anti-windup algorithms providing global and regional gurantees, including those that lead to compensators of the same order as the plant and algorithms for the design of reduced-order compensators.

Keywords:   dynamic direct linear anti-windup, compensation, global performance, static linear anti-windup, internal state, anti-windup filter, state–space representation, rank-deficient matrices, anti-windup algorithm, reduced-order compensator

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