Lyapunov-Based Control of Single-Phase AC–DC Power Converter for BEV Charger

  • Aziz RachidEmail author
  • Hassan EL Fadil
  • F. Z. Belhaj
  • K. Gaouzi
  • Fouad Giri
Conference paper
Part of the Advances in Science, Technology & Innovation book series (ASTI)


In this paper, we consider the problem of controlling single-phase ac–dc power converter for battery electric vehicle (BEV) charger. The control objectives are threefold: (i) unitary power factor (UPF) in grid side, (ii) tight regulation of dc-bus voltage to its constant reference in dc side, and (iii) asymptotic stability of the closed-loop system. Based on the nonlinear model of the studied system, a nonlinear controller is designed using Lyapunov approach. In order to validate the effectiveness of the proposed nonlinear controller, several numerical simulations are performed using the MATLAB/Simulink software.


Ac–dc power converter BEV charger Unitary power factor Nonlinear control Lyapunov approach 



The authors gratefully acknowledge the support of the Moroccan Ministry of Higher Education (MESRSFC) and the CNRST under grant number PPR/2015/36.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Aziz Rachid
    • 1
    Email author
  • Hassan EL Fadil
    • 1
  • F. Z. Belhaj
    • 1
  • K. Gaouzi
    • 1
  • Fouad Giri
    • 2
  1. 1.ESIT Team, LGS Laboratory ENSAIbn Tofail UniversityKénitraMorocco
  2. 2.Laboratoire D’Automatique de CaenUniversité de Caen, Bd Marechal JuinCaenFrance

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