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Anti-windup for a class of partially linearisable non-linear systems with application to wave energy converter control

Anti-windup for a class of partially linearisable non-linear systems with application to wave energy converter control
Anti-windup for a class of partially linearisable non-linear systems with application to wave energy converter control

This paper studies the anti-windup (AW) problem for a certain class of non-linear systems, in which the plant is globally quadratically stable and also partially linearisable by a suitably chosen non-linear feedback control law. Three types of AW compensators are proposed for this type of non-linear system: The first one is a non-linear extension of the popular linear internal model control (IMC) scheme; the second one has a similar structure to the IMC AW compensator yet is of reduced order and has entirely linear dynamics; and the third one is again a linear AW compensator, but can endow the closed-loop system with some sub-optimal performance properties. All three AW compensators are able to provide global exponential stability guarantees for the aforementioned class of systems. This work was inspired by a wave energy application whose dynamics fall into the class of systems studied in this study. Simulation results show the efficacy of the three AW compensators when applied to the wave energy application.

1751-8644
2403-2414
Lekka, Angeliki
a641e2ed-ff70-485a-b59d-7596d99fa2eb
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Menon, Prathyush P.
80e1ad07-a8eb-4c80-a602-354e5e5987cf
Lekka, Angeliki
a641e2ed-ff70-485a-b59d-7596d99fa2eb
Turner, Matthew C.
6befa01e-0045-4806-9c91-a107c53acba0
Menon, Prathyush P.
80e1ad07-a8eb-4c80-a602-354e5e5987cf

Lekka, Angeliki, Turner, Matthew C. and Menon, Prathyush P. (2016) Anti-windup for a class of partially linearisable non-linear systems with application to wave energy converter control. IET Control Theory and Applications, 10 (18), 2403-2414. (doi:10.1049/iet-cta.2016.0296).

Record type: Article

Abstract

This paper studies the anti-windup (AW) problem for a certain class of non-linear systems, in which the plant is globally quadratically stable and also partially linearisable by a suitably chosen non-linear feedback control law. Three types of AW compensators are proposed for this type of non-linear system: The first one is a non-linear extension of the popular linear internal model control (IMC) scheme; the second one has a similar structure to the IMC AW compensator yet is of reduced order and has entirely linear dynamics; and the third one is again a linear AW compensator, but can endow the closed-loop system with some sub-optimal performance properties. All three AW compensators are able to provide global exponential stability guarantees for the aforementioned class of systems. This work was inspired by a wave energy application whose dynamics fall into the class of systems studied in this study. Simulation results show the efficacy of the three AW compensators when applied to the wave energy application.

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More information

e-pub ahead of print date: 22 December 2016
Published date: December 2016

Identifiers

Local EPrints ID: 438839
URI: http://eprints.soton.ac.uk/id/eprint/438839
ISSN: 1751-8644
PURE UUID: 820285fa-bba2-46b3-b8aa-a9e5ab5fe4ff

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Date deposited: 25 Mar 2020 17:31
Last modified: 07 Oct 2020 00:25

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Contributors

Author: Angeliki Lekka
Author: Matthew C. Turner
Author: Prathyush P. Menon

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