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Title: Anti-windup synthesis using Riccati equations
Authors: Sofrony, J.
Turner, Matthew C.
Postlethwaite, Ian
First Published: 2007
Publisher: Taylor & Francis
Citation: International Journal of Control, 2007, 80 (1), pp.112-128
Abstract: The aim of this paper is to give a novel solution to the full order anti-windup (AW) compensation problem for stable systems with input saturation. The solution is obtained by “completing the square” in three steps and requires the solution to a single bounded-real Riccati equation, characterized by the open-loop plant's norm. The Riccati equation plays the role of the LMIs usually found in anti-windup synthesis, but, in addition to its numerical advantages, it yields a family of anti-windup compensators with the same performance. This family of compensators is parameterized by a matrix which is intimately linked with both the poles of the anti-windup compensator and the robustness properties of the closed-loop saturated system. Thus, this matrix allows a robust anti-windup problem to be solved in a straightforward and intuitive manner. The effectiveness of the proposed technique is demonstrated on a simple example.
DOI Link: 10.1080/00207170600944229
ISSN: 0020-7179
Type: Article
Rights: This is the author's final draft of the paper published as International Journal of Control, 2007, 80 (1), pp.112-128. The final version is available from Doi: 10.1080/00207170600944229
Appears in Collections:Published Articles, Dept. of Engineering

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