High gain observer for a three-cell chopper

Design and experimental results

M. Ghanes, Mohamed Trabelsi, X. Lin-Shi, J. P. Barbot, J. M. Retif, K. Busawon

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

As capacitor voltages are necessary for the three-cell DC-DC chopper control, the estimation of such voltages by an observer is attractive solution in terms of cost. However, due to the hybrid behavior of this structure, the capacitor voltages may be partially or even not observable for a given switching configuration. In other words, the observability matrix associated to the capacitor voltages never has a full rank. In order to make the observer conceivable, this paper proposes a new design by establishing sufficient conditions under which the capacitor voltages can be reconstructed within appropriate specific switching sequence and not necessarily instantly. An interconnected high gain observer is then designed for the considered structure. Furthermore, the analysis of convergence is given according to specific switching sequence, and the bounds of the observer tuning parameters are numerically verified. A significant load current benchmark including a three-cell chopper is used as prototype to show the performance and the effectiveness of the proposed observer.

Original languageEnglish
Pages (from-to)1090-1103
Number of pages14
JournalInternational Journal of Robust and Nonlinear Control
Volume24
Issue number6
DOIs
Publication statusPublished - 2014
Externally publishedYes

Fingerprint

Capacitors
Electric potential
Observability
Tuning
Costs

Keywords

  • experimental results
  • high gain observer
  • power electronics
  • switched systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Cite this

High gain observer for a three-cell chopper : Design and experimental results. / Ghanes, M.; Trabelsi, Mohamed; Lin-Shi, X.; Barbot, J. P.; Retif, J. M.; Busawon, K.

In: International Journal of Robust and Nonlinear Control, Vol. 24, No. 6, 2014, p. 1090-1103.

Research output: Contribution to journalArticle

Ghanes, M. ; Trabelsi, Mohamed ; Lin-Shi, X. ; Barbot, J. P. ; Retif, J. M. ; Busawon, K. / High gain observer for a three-cell chopper : Design and experimental results. In: International Journal of Robust and Nonlinear Control. 2014 ; Vol. 24, No. 6. pp. 1090-1103.
@article{bdc5114325ba4da2bb42977f811d45be,
title = "High gain observer for a three-cell chopper: Design and experimental results",
abstract = "As capacitor voltages are necessary for the three-cell DC-DC chopper control, the estimation of such voltages by an observer is attractive solution in terms of cost. However, due to the hybrid behavior of this structure, the capacitor voltages may be partially or even not observable for a given switching configuration. In other words, the observability matrix associated to the capacitor voltages never has a full rank. In order to make the observer conceivable, this paper proposes a new design by establishing sufficient conditions under which the capacitor voltages can be reconstructed within appropriate specific switching sequence and not necessarily instantly. An interconnected high gain observer is then designed for the considered structure. Furthermore, the analysis of convergence is given according to specific switching sequence, and the bounds of the observer tuning parameters are numerically verified. A significant load current benchmark including a three-cell chopper is used as prototype to show the performance and the effectiveness of the proposed observer.",
keywords = "experimental results, high gain observer, power electronics, switched systems",
author = "M. Ghanes and Mohamed Trabelsi and X. Lin-Shi and Barbot, {J. P.} and Retif, {J. M.} and K. Busawon",
year = "2014",
doi = "10.1002/rnc.3063",
language = "English",
volume = "24",
pages = "1090--1103",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "John Wiley and Sons Ltd",
number = "6",

}

TY - JOUR

T1 - High gain observer for a three-cell chopper

T2 - Design and experimental results

AU - Ghanes, M.

AU - Trabelsi, Mohamed

AU - Lin-Shi, X.

AU - Barbot, J. P.

AU - Retif, J. M.

AU - Busawon, K.

PY - 2014

Y1 - 2014

N2 - As capacitor voltages are necessary for the three-cell DC-DC chopper control, the estimation of such voltages by an observer is attractive solution in terms of cost. However, due to the hybrid behavior of this structure, the capacitor voltages may be partially or even not observable for a given switching configuration. In other words, the observability matrix associated to the capacitor voltages never has a full rank. In order to make the observer conceivable, this paper proposes a new design by establishing sufficient conditions under which the capacitor voltages can be reconstructed within appropriate specific switching sequence and not necessarily instantly. An interconnected high gain observer is then designed for the considered structure. Furthermore, the analysis of convergence is given according to specific switching sequence, and the bounds of the observer tuning parameters are numerically verified. A significant load current benchmark including a three-cell chopper is used as prototype to show the performance and the effectiveness of the proposed observer.

AB - As capacitor voltages are necessary for the three-cell DC-DC chopper control, the estimation of such voltages by an observer is attractive solution in terms of cost. However, due to the hybrid behavior of this structure, the capacitor voltages may be partially or even not observable for a given switching configuration. In other words, the observability matrix associated to the capacitor voltages never has a full rank. In order to make the observer conceivable, this paper proposes a new design by establishing sufficient conditions under which the capacitor voltages can be reconstructed within appropriate specific switching sequence and not necessarily instantly. An interconnected high gain observer is then designed for the considered structure. Furthermore, the analysis of convergence is given according to specific switching sequence, and the bounds of the observer tuning parameters are numerically verified. A significant load current benchmark including a three-cell chopper is used as prototype to show the performance and the effectiveness of the proposed observer.

KW - experimental results

KW - high gain observer

KW - power electronics

KW - switched systems

UR - http://www.scopus.com/inward/record.url?scp=84896545385&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84896545385&partnerID=8YFLogxK

U2 - 10.1002/rnc.3063

DO - 10.1002/rnc.3063

M3 - Article

VL - 24

SP - 1090

EP - 1103

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 6

ER -