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Closed-loop stability analysis of voltage mode buck using a proportional-delayed-integral controller

José-Enrique Hernández-Díez 1 César Fernando Méndez Barrios 1 Silviu-Iulian Niculescu 2, 3 Victor Manuel Ramirez Rivera 4
1 UASLP - Universidad Autonoma de San Luis Potosi [México]
2 L2S - Laboratoire des signaux et systèmes
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
Inria Saclay - Ile de France, L2S - Laboratoire des signaux et systèmes
4 CICY - Centro de Investigacion Cientifica de Yucatan
Abstract : This paper focuses on the design of a P-δ I controller for the stabilization of a buck dc/dc converter. The basis of this work is a geometric approach which allows to partition the parameters space of the controllers gain into regions in which the characteristic equation of the closed-loop system has a constant number of unstable roots. The main contribution of the paper is that it provides an explicit tool to find P-δ I gains ensuring the stability of the closed-loop system. In addition, the proposed methodology allows the design of a controller with a desired exponential decay rate σ. In order to illustrate the effectiveness of the proposed controller, several numerical examples are presented. © 2019 IEEE.
Keywords : Characteristic equation Industrial electronics Closed-loop stability analysis Exponential decay rates Geometric approaches Integral controllers P deltas Voltage mode DC-DC converters Decay (organic) Controllers Closed loop systems
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Contributor : Delphine Le Piolet <>
Submitted on : Wednesday, March 17, 2021 - 11:25:35 AM
Last modification on : Tuesday, April 13, 2021 - 12:20:11 PM

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CNRS | CENTRALESUPELEC | L2S | SUP_SYSTEMES | SUP_LSS | INRIA | GS-ENGINEERING | DISCO-L2S

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José-Enrique Hernández-Díez, César Fernando Méndez Barrios, Silviu-Iulian Niculescu, Victor Manuel Ramirez Rivera. Closed-loop stability analysis of voltage mode buck using a proportional-delayed-integral controller. ICIEA 2019 - 14th IEEE Conference on Industrial Electronics and Applications, Jun 2019, Xian, China. pp.233-238, ⟨10.1109/ICIEA.2019.8834343⟩. ⟨hal-02328845⟩

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