Operator theory in dynamical network systems

gráficas, ilustraciones, tablas

Autores:: Téllez Castro, Duván Andrés

Tipo de recurso:: Doctoral thesis

Fecha de publicación:: 2022

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: eng

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repository_id_str
dc.title.eng.fl_str_mv	Operator theory in dynamical network systems
dc.title.translated.spa.fl_str_mv	Teoría de operadores en sistemas dinámicos en red
title	Operator theory in dynamical network systems
spellingShingle	Operator theory in dynamical network systems 000 - Ciencias de la computación, información y obras generales 620 - Ingeniería y operaciones afines Procesamiento de datos Análisis de sistemas Ecuaciones Data processing System analysis Equations Data-Driven Control Koopman Operator Optimization Control con datos Operador de koopman optimización
title_short	Operator theory in dynamical network systems
title_full	Operator theory in dynamical network systems
title_fullStr	Operator theory in dynamical network systems
title_full_unstemmed	Operator theory in dynamical network systems
title_sort	Operator theory in dynamical network systems
dc.creator.fl_str_mv	Téllez Castro, Duván Andrés
dc.contributor.advisor.none.fl_str_mv	Mojica Nava, Eduardo Alirio Sofrony, Jorge
dc.contributor.author.none.fl_str_mv	Téllez Castro, Duván Andrés
dc.contributor.researchgroup.spa.fl_str_mv	Programa de Investigacion sobre Adquisicion y Analisis de Señales Paas-Un
dc.subject.ddc.spa.fl_str_mv	000 - Ciencias de la computación, información y obras generales 620 - Ingeniería y operaciones afines
topic	000 - Ciencias de la computación, información y obras generales 620 - Ingeniería y operaciones afines Procesamiento de datos Análisis de sistemas Ecuaciones Data processing System analysis Equations Data-Driven Control Koopman Operator Optimization Control con datos Operador de koopman optimización
dc.subject.lemb.spa.fl_str_mv	Procesamiento de datos Análisis de sistemas Ecuaciones
dc.subject.lemb.eng.fl_str_mv	Data processing System analysis Equations
dc.subject.proposal.eng.fl_str_mv	Data-Driven Control Koopman Operator Optimization
dc.subject.proposal.spa.fl_str_mv	Control con datos Operador de koopman optimización
description	gráficas, ilustraciones, tablas
publishDate	2022
dc.date.accessioned.none.fl_str_mv	2022-08-26T20:46:28Z
dc.date.available.none.fl_str_mv	2022-08-26T20:46:28Z
dc.date.issued.none.fl_str_mv	2022-08-25
dc.type.spa.fl_str_mv	Trabajo de grado - Doctorado
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dc.type.version.spa.fl_str_mv	info:eu-repo/semantics/acceptedVersion
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dc.type.content.spa.fl_str_mv	Text
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dc.identifier.uri.none.fl_str_mv	https://repositorio.unal.edu.co/handle/unal/82146
dc.identifier.instname.spa.fl_str_mv	Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv	Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv	https://repositorio.unal.edu.co/
url	https://repositorio.unal.edu.co/handle/unal/82146 https://repositorio.unal.edu.co/
identifier_str_mv	Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv	eng
language	eng
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Koopman Operator Dynami- cal Models: Learning, Analysis and Control. 2021 [11] Bittracher, Andreas ; Koltai, P ́eter ; Klus, Stefan ; Banisch, Ralf ; Dellnitz, Michael ; Schu ̈tte, Christof: Transition manifolds of complex metastable systems. En: Journal of nonlinear science 28 (2018), Nr. 2, p. 471–512 [12] Bollt, Erik M. ; Santitissadeekorn, Naratip: Applied and computational measura- ble dynamics. First Edition. SIAM, 2013 [13] Brunton, Steven L. ; Brunton, Bingni W. ; Proctor, Joshua L. ; Kutz, J N.: Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control. En: PloS one 11 (2016), Nr. 2, p. e0150171 [14] Brunton, Steven L. ; Brunton, Bingni W. ; Proctor, Joshua L. ; Kutz, J. N.: Koopman invariant subspaces and finite linear representations of nonlinear dynamical systems for control. En: PLoS ONE 11 (2016), Nr. 2. – ISSN 19326203 [15] Brunton, Steven L. ; Kutz, J N.: Methods for data-driven multiscale model discovery for materials. 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dc.rights.license.spa.fl_str_mv	Atribución-SinDerivadas 4.0 Internacional
dc.rights.uri.spa.fl_str_mv	http://creativecommons.org/licenses/by-nd/4.0/
dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
rights_invalid_str_mv	Atribución-SinDerivadas 4.0 Internacional http://creativecommons.org/licenses/by-nd/4.0/ http://purl.org/coar/access_right/c_abf2
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dc.format.extent.spa.fl_str_mv	xi, 99 páginas
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dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv	Bogotá - Ingeniería - Doctorado en Ingeniería - Ingeniería Eléctrica
dc.publisher.department.spa.fl_str_mv	Departamento de Ingeniería Eléctrica y Electrónica
dc.publisher.faculty.spa.fl_str_mv	Facultad de Ingeniería
dc.publisher.place.spa.fl_str_mv	Bogotá, Colombia
dc.publisher.branch.spa.fl_str_mv	Universidad Nacional de Colombia - Sede Bogotá
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spelling	Atribución-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Mojica Nava, Eduardo Alirio609c35fb4a7e288ee81a2ef0fb802397Sofrony, Jorgee0a5bffc1b8e865df36e2a58fd8a342eTéllez Castro, Duván Andrés41119cb00ab4b3c16ad1afe543e48611Programa de Investigacion sobre Adquisicion y Analisis de Señales Paas-Un2022-08-26T20:46:28Z2022-08-26T20:46:28Z2022-08-25https://repositorio.unal.edu.co/handle/unal/82146Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/gráficas, ilustraciones, tablasWe provide a data-driven synthesis framework for some complex systems. The proposed fra- mework relies on the linear operator theory involving the Koopman operator. Our first results employ Koopman-based lifting for the identification of linear models from the data both un- der the controlled and uncontrolled settings. Spectral analysis of Koopman and its adjoint Perron-Frobenius operator helps us identify the invariant structure and dominant modes for the reduced-order representation from the data. Our second result is a design methodology of a model-free and decentralized control strategy for interconnected systems. We provi- de a predictive control for decoupling the systems using the linear operator. Additionally, we address a distributed output regulation algorithm for the leader-follower heterogeneous multi-agent system with unknown leader dynamics. The leader modeling is learned through the Koopman operator and the regulator is developed using optimal control theory. Finally, we develop a technique using the Koopman operator to obtain a data-driven continuous-time optimization algorithm for solving constrained optimization problems using its connection with dynamical systems for numerical algorithms. (Text taken from source)En esta tesis proporcionamos un marco de síntesis basado en datos para algunos sistemas complejos. El marco propuesto se basa en la teoría del operador lineal que involucra al operador de Koopman. Nuestros primeros resultados emplean el espacio Koopman-lifted para la identificación de modelos lineales a partir de los datos, tanto en entornos controlados como no controlados. El análisis espectral de Koopman y su operador adjunto Perron-Frobenius nos ayuda a identificar la estructura invariante y los modos dominantes para la representación de orden reducido a partir de los datos. Nuestro segundo resultado es una metodología de diseño de una estrategia de control descentralizada y sin modelo para sistemas interconectados. Proporcionamos un control predictivo para el desacoplamiento de los sistemas mediante el operador lineal. Además, abordamos un algoritmo de regulación de salida distribuida para el sistema heterogéneo de múltiples agentes tipo líder-seguidor con una dinámica de líder desconocida. El modelo de líder se aprende a través del operador de Koopman y el regulador se desarrolla utilizando la teoría de control óptimo. Finalmente, desarrollamos una técnica utilizando el operador de Koopman para obtener un algoritmo de optimización de tiempo continuo basado en datos para resolver problemas de optimización restringida usando su conexión con sistemas dinámicos para algoritmos numéricos.DoctoradoDoctor en IngenieríaControl Distribuidoxi, 99 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ingeniería - Doctorado en Ingeniería - Ingeniería EléctricaDepartamento de Ingeniería Eléctrica y ElectrónicaFacultad de IngenieríaBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá000 - Ciencias de la computación, información y obras generales620 - Ingeniería y operaciones afinesProcesamiento de datosAnálisis de sistemasEcuacionesData processingSystem analysisEquationsData-Driven ControlKoopman OperatorOptimizationControl con datosOperador de koopmanoptimizaciónOperator theory in dynamical network systemsTeoría de operadores en sistemas dinámicos en redTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttp://purl.org/redcol/resource_type/TD[1] Alvarado, Ignacio ; Limon, Daniel ; De La Pen ̃a, D M. ; Maestre, Jos ́e M. ; Ridao, MA ; Scheu, H ; Marquardt, W ; Negenborn, RR ; De Schutter, B ; Valencia, F ; Espinosa, J: A comparative analysis of distributed MPC techniques applied to the HD-MPC four-tank benchmark. 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En: Automatica 92 (2018), p. 235 – 239. – ISSN 0005–1098COLCIENCIASLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.unal.edu.co/bitstream/unal/82146/1/license.txt8a4605be74aa9ea9d79846c1fba20a33MD51ORIGINAL1018427055.2022.pdf1018427055.2022.pdfTesis de Doctorado en Ingeniería Eléctricaapplication/pdf3442914https://repositorio.unal.edu.co/bitstream/unal/82146/3/1018427055.2022.pdf6d158038eac203276d9483efa4a455d6MD53THUMBNAIL1018427055.2022.pdf.jpg1018427055.2022.pdf.jpgGenerated Thumbnailimage/jpeg3875https://repositorio.unal.edu.co/bitstream/unal/82146/4/1018427055.2022.pdf.jpg178347c57597d977272ba9cc56c390c1MD54unal/82146oai:repositorio.unal.edu.co:unal/821462023-08-08 23:03:58.852Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.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