LMI‐based passivation of LTI systems with application to marine structures

Abstract Due to the inherent relevance of passive (physically representative) models for control, state‐estimation, and motion simulation in the field of marine systems, in this paper, an optimisation‐based approach to passivation of linear time‐invariant (LTI) systems is proposed with application t...

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Main Authors: Nicolás Faedo, Yerai Peña‐Sanchez, Fabio Carapellese, Giuliana Mattiazzo, John V. Ringwood
Format: Article
Language:English
Published: Wiley 2021-10-01
Series:IET Renewable Power Generation
Subjects:
Online Access:https://doi.org/10.1049/rpg2.12286
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author Nicolás Faedo
Yerai Peña‐Sanchez
Fabio Carapellese
Giuliana Mattiazzo
John V. Ringwood
author_facet Nicolás Faedo
Yerai Peña‐Sanchez
Fabio Carapellese
Giuliana Mattiazzo
John V. Ringwood
author_sort Nicolás Faedo
collection DOAJ
description Abstract Due to the inherent relevance of passive (physically representative) models for control, state‐estimation, and motion simulation in the field of marine systems, in this paper, an optimisation‐based approach to passivation of linear time‐invariant (LTI) systems is proposed with application to physically consistent dynamical modelling of marine structures. In particular, the presented strategy is based upon the introduction of a suitably designed perturbation, computed via minimisation of a linear objective subject to a specific set of linear matrix inequalities (LMIs). The performance of the passivation technique is showcased in terms of two case studies: An offshore platform, with a frequency‐domain response computed by means of hydrodynamic codes, and a 1:20 scale wave energy converter (WEC), is characterised in terms of real experimental data.
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spelling doaj.art-6ff9523335f9472bb313f9ba915a232b2022-12-22T04:26:27ZengWileyIET Renewable Power Generation1752-14161752-14242021-10-0115143424343310.1049/rpg2.12286LMI‐based passivation of LTI systems with application to marine structuresNicolás Faedo0Yerai Peña‐Sanchez1Fabio Carapellese2Giuliana Mattiazzo3John V. Ringwood4Marine Offshore Renewable Energy Lab Department of Mechanical and Aerospace Engineering Politecnico di Torino Torino ItalyCentre for Ocean Energy Research Department of Electronic Engineering Maynooth University County Kildare IrelandMarine Offshore Renewable Energy Lab Department of Mechanical and Aerospace Engineering Politecnico di Torino Torino ItalyMarine Offshore Renewable Energy Lab Department of Mechanical and Aerospace Engineering Politecnico di Torino Torino ItalyCentre for Ocean Energy Research Department of Electronic Engineering Maynooth University County Kildare IrelandAbstract Due to the inherent relevance of passive (physically representative) models for control, state‐estimation, and motion simulation in the field of marine systems, in this paper, an optimisation‐based approach to passivation of linear time‐invariant (LTI) systems is proposed with application to physically consistent dynamical modelling of marine structures. In particular, the presented strategy is based upon the introduction of a suitably designed perturbation, computed via minimisation of a linear objective subject to a specific set of linear matrix inequalities (LMIs). The performance of the passivation technique is showcased in terms of two case studies: An offshore platform, with a frequency‐domain response computed by means of hydrodynamic codes, and a 1:20 scale wave energy converter (WEC), is characterised in terms of real experimental data.https://doi.org/10.1049/rpg2.12286AlgebraWave powerMarine system controlAlgebraMathematical analysisLinear control systems
spellingShingle Nicolás Faedo
Yerai Peña‐Sanchez
Fabio Carapellese
Giuliana Mattiazzo
John V. Ringwood
LMI‐based passivation of LTI systems with application to marine structures
IET Renewable Power Generation
Algebra
Wave power
Marine system control
Algebra
Mathematical analysis
Linear control systems
title LMI‐based passivation of LTI systems with application to marine structures
title_full LMI‐based passivation of LTI systems with application to marine structures
title_fullStr LMI‐based passivation of LTI systems with application to marine structures
title_full_unstemmed LMI‐based passivation of LTI systems with application to marine structures
title_short LMI‐based passivation of LTI systems with application to marine structures
title_sort lmi based passivation of lti systems with application to marine structures
topic Algebra
Wave power
Marine system control
Algebra
Mathematical analysis
Linear control systems
url https://doi.org/10.1049/rpg2.12286
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AT fabiocarapellese lmibasedpassivationofltisystemswithapplicationtomarinestructures
AT giulianamattiazzo lmibasedpassivationofltisystemswithapplicationtomarinestructures
AT johnvringwood lmibasedpassivationofltisystemswithapplicationtomarinestructures