Voltage Regulation in Second-Order Dc-Dc Converters Via the Inverse Optimal Control Design with Proportional-Integral Action

dc.creatorGómez-Chitiva, Juan Sebastián
dc.creatorEscalante-Sarrias, Andrés Felipe
dc.creatorMontoya , Oscar Danilo
dc.date2022-11-28
dc.date.accessioned2025-10-01T23:52:48Z
dc.descriptionThis article addresses the problem regarding power regulation in classical DC-DC second-order converters by means of a nonlinear control technique based on inverse optimal control theory. There are few papers that describe inverse optimal control for DC-DC converters in the literature. Therefore, this study constitutes a contribution to the state of the art on nonlinear control techniques for DC-DC converters. In this vein, the main objective of this research was to implement inverse optimal control theory with integral action to the typical DC-DC conversion topologies for power regulation, regardless of the load variations and the application. The converter topologies analyzed were: (i) Buck; (ii) Boost; (iii) Buck-Boost; and (iv) Non-Inverting Buck-Boost. A dynamical model was proposed as a function of the state variable error, which helped to demonstrate that the inverse optimal control law with proportional-integral action implemented in the different converters ensures stability in each closed-loop operation via Lyapunov’s theorem. Numerical validations were carried out by means of simulations in the PSIM software, comparing the established control law, the passivity-based PI control law, and an open-loop control. As a conclusion, it was possible to determine that the proposed model is easier to implement and has a better dynamical behavior than the PI-PBC, ensuring asymptotic stability from the closed-loop control design.en-US
dc.descriptionEste artículo aborda el problema de regulación de tensión para convertidores DC-DC clásicos de segundo orden mediante una técnica de control no lineal basada en la teoría de control óptimo inverso. En la literatura hay pocos artículos que describen el control optimo inverso para convertidores DC-DC, por tanto, este estudio es una contribución al estado del arte en técnica de control no lineal para convertidores DC-DC. En este orden de ideas, el objetivo principal de esta investigación fue implementar la teoría de control óptimo inverso con acción integral a las topologías típicas de conversión DC-DC para regular tensión, independientemente de las variaciones de la carga y de la aplicación. Las topologías de los convertidores analizados fueron: (i) Buck; (ii) Boost; (iii) Buck-Boost; y (iv) Buck-Boost No Inversor. Se planteó un modelo dinámico en función del error de las variables de estado, el cual ayudó a demostrar que la ley de control óptimo inverso con acción proporcional-integral implementada para los diferentes convertidores garantiza la estabilidad para operación en lazo cerrado mediante el teorema de Lyapunov. Se realizó la validación numérica mediante simulaciones en el software PSIM, comparando la ley de control establecida, la ley de control PI basada en pasividad y un control en lazo abierto. Como conclusión, se pudo determinar que el método propuesto es más sencillo de implementar y con mejor comportamiento dinámico que el PI-PBC, garantizando la estabilidad asintótica desde el diseño de control en lazo cerrado.es-ES
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dc.identifierhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2369
dc.identifier10.22430/22565337.2369
dc.identifier.urihttps://hdl.handle.net/20.500.12622/7832
dc.languageeng
dc.publisherInstituto Tecnológico Metropolitano (ITM)es-ES
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2369/2612
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2369/2613
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2369/2614
dc.relationhttps://revistas.itm.edu.co/index.php/tecnologicas/article/view/2369/2643
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dc.rightsDerechos de autor 2022 TecnoLógicases-ES
dc.rightshttp://creativecommons.org/licenses/by-nc-sa/4.0es-ES
dc.sourceTecnoLógicas; Vol. 25 No. 55 (2022); e2369en-US
dc.sourceTecnoLógicas; Vol. 25 Núm. 55 (2022); e2369es-ES
dc.source2256-5337
dc.source0123-7799
dc.subjectInverse optimal controlen-US
dc.subjectDC-DC Converteren-US
dc.subjectLyapunov functionen-US
dc.subjectnonlinear control systemsen-US
dc.subjectdynamical systemen-US
dc.subjectControl óptimo inversoes-ES
dc.subjectconvertidores DC-DCes-ES
dc.subjectfunción de Lyapunoves-ES
dc.subjectsistemas de control no lineales-ES
dc.subjectsistema dinámicoes-ES
dc.titleVoltage Regulation in Second-Order Dc-Dc Converters Via the Inverse Optimal Control Design with Proportional-Integral Actionen-US
dc.titleRegulación de tensión en convertidores DC-DC clásicos de segundo orden mediante la aplicación del control óptimo inverso con acción proporcional-integrales-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeResearch Papersen-US
dc.typeArtículos de investigaciónes-ES

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