García-Violini, Demián and Ringwood, John (2019) Energy maximising robust control for spectral and pseudospectral methods with application to wave energy systems. International Journal of Control, 94 (4). pp. 1102-1113. ISSN 1366-5820

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Abstract

Spectral and Pseudospectral methods have been widely considered in diverse optimal control applications, usually where energy optimisation is required. Although such methods are a good way to ensure a good balance between performance and computational effort, in most of the literature, nominal mathematical models are considered without taking into account possible dynamic deviations from the nominal case. The main aim of this study is to propose a novel framework where spectral and pseudospectral problems include some structured uncertainty, achieving robust optimal control designs guaranteeing the ‘best worst-case performance’. In this paper, the objective function used for optimisation is inspired by wave energy converters. Two solution methodologies are developed. Firstly, an analytical solution, for circular and convex polytopic uncertainty boundaries, is proposed. Then, a numerical formulation is introduced to consider uncertainty sets of arbitrary shape, adding the ability to consider physical system constraints. Finally, an application example shows the benefit of this new control formulation

Item Type:	Article
Keywords:	Control; robust; spectral; pseudospectral; optimisation; energy maximising;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Centre for Ocean Energy Research
Item ID:	16269
Identification Number:	https://doi.org/10.1080/00207179.2019.1632491
Depositing User:	Professor John Ringwood
Date Deposited:	06 Jul 2022 13:21
Journal or Publication Title:	International Journal of Control
Publisher:	Taylor & Francis
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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