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Anti-windup synthesis using Riccati equations

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journal contribution
posted on 08.12.2009, 16:16 by J. Sofrony, Matthew C. Turner, Ian Postlethwaite
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.

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Citation

International Journal of Control, 2007, 80 (1), pp.112-128

Published in

International Journal of Control

Publisher

Taylor & Francis

issn

0020-7179

Copyright date

2007

Available date

08/12/2009

Publisher version

http://www.tandfonline.com/doi/abs/10.1080/00207170600944229

Language

en

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