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

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

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.

Anti-windup, Constrained control, Saturation
0005-1098
268-276
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Herrmann, Guido
b8e0df38-66f8-44c8-8e68-abcedd470ae3
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Herrmann, Guido
b8e0df38-66f8-44c8-8e68-abcedd470ae3

Turner, Matthew C. and Herrmann, Guido (2014) A non-square sector condition and its application in deferred-action anti-windup compensator design. Automatica, 50 (1), 268-276. (doi:10.1016/j.automatica.2013.10.007).

Record type: Article

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.

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More information

Accepted/In Press date: 2 October 2013
e-pub ahead of print date: 5 November 2013
Published date: 1 January 2014
Keywords: Anti-windup, Constrained control, Saturation

Identifiers

Local EPrints ID: 439244
URI: http://eprints.soton.ac.uk/id/eprint/439244
ISSN: 0005-1098
PURE UUID: 4ff62d69-f103-4f07-945b-a5ce7245164f

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Date deposited: 07 Apr 2020 16:31
Last modified: 18 Jan 2024 19:11

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Contributors

Author: Matthew C. Turner
Author: Guido Herrmann

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