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Anti-windup for model-reference adaptive control schemes with rate-limits

Anti-windup for model-reference adaptive control schemes with rate-limits
Anti-windup for model-reference adaptive control schemes with rate-limits
This paper proposes an anti-windup like scheme for an LTI plant with rate-limits. The plant is controlled using a model-reference adaptive controller, making the anti-windup design problem highly nonlinear. It is assumed that the rate-limit is modelled as a first order feedback loop for which the state is unavailable, but that the bandwidth of this loop is known. The anti-windup scheme uses a “hedging” term and a “positive μ” term. The structure of the problem makes the rate-limit case considerably more difficult than the magnitude limit case. Nevertheless it is proved that convergence of the system state to the ideal model can be accomplished under conditions similar to those found in anti-windup compensation for purely linear systems.
Adaptive control, Anti-windup, Saturation
0167-6911
1-9
Turner, Matthew
6befa01e-0045-4806-9c91-a107c53acba0
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
Prempain, Emmanuel
f00febb5-ceca-4aab-9b9d-fa07715d7e3c
Turner, Matthew
6befa01e-0045-4806-9c91-a107c53acba0
Sofrony, Jorge
20f54d8e-0d5f-4a8a-be1e-61f4052f30ff
Prempain, Emmanuel
f00febb5-ceca-4aab-9b9d-fa07715d7e3c

Turner, Matthew, Sofrony, Jorge and Prempain, Emmanuel (2020) Anti-windup for model-reference adaptive control schemes with rate-limits. Systems & Control Letters, 137, 1-9, [104630]. (doi:10.1016/j.sysconle.2020.104630).

Record type: Article

Abstract

This paper proposes an anti-windup like scheme for an LTI plant with rate-limits. The plant is controlled using a model-reference adaptive controller, making the anti-windup design problem highly nonlinear. It is assumed that the rate-limit is modelled as a first order feedback loop for which the state is unavailable, but that the bandwidth of this loop is known. The anti-windup scheme uses a “hedging” term and a “positive μ” term. The structure of the problem makes the rate-limit case considerably more difficult than the magnitude limit case. Nevertheless it is proved that convergence of the system state to the ideal model can be accomplished under conditions similar to those found in anti-windup compensation for purely linear systems.

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Anti-windup for model-reference adaptive control schemes with rate-limits - Accepted Manuscript
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More information

Accepted/In Press date: 3 January 2020
e-pub ahead of print date: 8 February 2020
Published date: March 2020
Keywords: Adaptive control, Anti-windup, Saturation

Identifiers

Local EPrints ID: 438168
URI: http://eprints.soton.ac.uk/id/eprint/438168
ISSN: 0167-6911
PURE UUID: c9956f08-f5da-4210-a48e-9288c732e471

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Date deposited: 03 Mar 2020 17:45
Last modified: 26 Nov 2021 06:55

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Contributors

Author: Matthew Turner
Author: Jorge Sofrony
Author: Emmanuel Prempain

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