A non-square sector condition and its application in deferred-action anti-windup compensator design

Matthew C Turner, Guido Herrmann

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

12 Citations (Scopus)
265 Downloads (Pure)

Abstract

A sector condition for two connected deadzone nonlinearities is provided. By introducing an additional non-square operator which exploits their connectivity, a more general set of sector-like matrix inequalities is obtained. This “non-square” matrix inequality condition is applied to an anti-windup (AW) problem in which the AW compensator is not activated until the unconstrained control signal reaches a well-defined level beyond that of the physical actuator limits. The non-square sector condition allows such “deferred-action” AW synthesis to be performed in a manner much closer to traditional (“immediate”) sector-based AW with either lowered conservatism or decreased computational effort in contrast to recent work. The non-square condition is applicable to other AW problems.
Original languageEnglish
Pages (from-to)268-276
Number of pages9
JournalAutomatica
Volume50
Issue number1
Early online date5 Nov 2013
DOIs
Publication statusPublished - Jan 2014

Keywords

  • Anti-windup
  • Constrained control
  • Saturation

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