Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator

Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states. As a result, the selection of initial conditions and operating parameters to avoid suc...

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Autores principales:	Garcia-Tenorio Camilo, Mojica-Nava Eduardo, Sbarciog Mihaela, Wouwer Alain Vande
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	anaerobic digestion extended dynamic mode decomposition koopman operator region of attraction Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/05a1cc0730ac4bd7bcc5917f4af4d5e4
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spelling	oai:doaj.org-article:05a1cc0730ac4bd7bcc5917f4af4d5e42021-12-05T14:10:57ZAnalysis of the ROA of an anaerobic digestion process via data-driven Koopman operator2192-80102192-802910.1515/nleng-2021-0009https://doaj.org/article/05a1cc0730ac4bd7bcc5917f4af4d5e42021-06-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0009https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states. As a result, the selection of initial conditions and operating parameters to avoid such states is of importance. In this work, we present a data-driven approach, which relies on the generation of several system trajectories of the anaerobic digestion system and the construction of a data-driven Koopman operator to give a concise criterion for the classification of arbitrary initial conditions in the state space. Unlike other approximation methods, the criterion does not rely on difficult geometrical analysis of the identified boundaries to produce the classification.Garcia-Tenorio CamiloMojica-Nava EduardoSbarciog MihaelaWouwer Alain VandeDe Gruyterarticleanaerobic digestionextended dynamic mode decompositionkoopman operatorregion of attractionEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 109-131 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	anaerobic digestion extended dynamic mode decomposition koopman operator region of attraction Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	anaerobic digestion extended dynamic mode decomposition koopman operator region of attraction Engineering (General). Civil engineering (General) TA1-2040 Garcia-Tenorio Camilo Mojica-Nava Eduardo Sbarciog Mihaela Wouwer Alain Vande Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
description	Nonlinear biochemical systems such as the anaerobic digestion process experience the problem of the multi-stability phenomena, and thus, the dynamic spectrum of the system has several undesired equilibrium states. As a result, the selection of initial conditions and operating parameters to avoid such states is of importance. In this work, we present a data-driven approach, which relies on the generation of several system trajectories of the anaerobic digestion system and the construction of a data-driven Koopman operator to give a concise criterion for the classification of arbitrary initial conditions in the state space. Unlike other approximation methods, the criterion does not rely on difficult geometrical analysis of the identified boundaries to produce the classification.
format	article
author	Garcia-Tenorio Camilo Mojica-Nava Eduardo Sbarciog Mihaela Wouwer Alain Vande
author_facet	Garcia-Tenorio Camilo Mojica-Nava Eduardo Sbarciog Mihaela Wouwer Alain Vande
author_sort	Garcia-Tenorio Camilo
title	Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
title_short	Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
title_full	Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
title_fullStr	Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
title_full_unstemmed	Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator
title_sort	analysis of the roa of an anaerobic digestion process via data-driven koopman operator
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/05a1cc0730ac4bd7bcc5917f4af4d5e4
work_keys_str_mv	AT garciatenoriocamilo analysisoftheroaofananaerobicdigestionprocessviadatadrivenkoopmanoperator AT mojicanavaeduardo analysisoftheroaofananaerobicdigestionprocessviadatadrivenkoopmanoperator AT sbarciogmihaela analysisoftheroaofananaerobicdigestionprocessviadatadrivenkoopmanoperator AT wouweralainvande analysisoftheroaofananaerobicdigestionprocessviadatadrivenkoopmanoperator
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Analysis of the ROA of an anaerobic digestion process via data-driven Koopman operator

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