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
4 CICY - Centro de Investigacion Cientifica de Yucatan

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: P deltas; Voltage mode; DC-DC converters; Decay (organic); Controllers; Closed loop systems; Characteristic equation; Industrial electronics; Closed-loop stability analysis; Exponential decay rates; Geometric approaches; Integral controllers

Domains: Computer Science [cs]; Automatic Control Engineering

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⟩