Discrete-time and sampled data anti-windup synthesis: stability and performance

G Herrmann, MC Turner, I Postlethwaite

Research output: Contribution to journalArticle (Academic Journal)peer-review

50 Citations (Scopus)

Abstract

The anti-windup (AW) problem is formulated in discrete time using a configuration which effectively decouples the nominal linear and nonlinear parts of a closed loop system with constrained plant inputs. Conditions are derived which ensure an upper bound on the induced l2 norm of a certain mapping which is central to the anti-windup problem. Results are given for the full-order case, where a solution always exists, and for static and low-order cases, where a solution does not necessarily exist, but which is often more appealing from a practical point of view. The anti-windup problem is also framed and solved for continous-time systems under sampled-data control. It is proved that the stability of the anti-windup compensator loop is equivalent to a purely discrete-time problem, while a hybrid induced norm is used for performance recovery. The performance problem is solved using linear sampled-data lifting techniques to transpose the problem into the purely discrete domain. The results of the paper are demonstrated on a flight control example.
Translated title of the contributionDiscrete-time and sampled data anti-windup synthesis: stability and performance
Original languageEnglish
Pages (from-to)91 - 113
Number of pages23
JournalThe International Journal of Systems Science (Special Issue)
Volume37(2)
DOIs
Publication statusPublished - 2006

Bibliographical note

Publisher: Taylor & Francis

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