Frontiers in Energy

, Volume 8, Issue 4, pp 426–433 | Cite as

Observer design for induction motor: an approach based on the mean value theorem

  • Mohamed Yacine HammoudiEmail author
  • Abdelkarim Allag
  • Mohamed Becherif
  • Mohamed Benbouzid
  • Hamza Alloui
Research Article


In this paper, observer design for an induction motor has been investigated. The peculiarity of this paper is the synthesis of a mono-Luenberger observer for highly coupled system. To transform the nonlinear error dynamics for the induction motor into the linear parametric varying (LPV) system, the differential mean value theorem combined with the sector nonlinearity transformation has been used. Stability conditions based on the Lyapunov function lead to solvability of a set of linear matrix inequalities. The proposed observer guarantees the global exponential convergence to zero of the estimation error. Finally, the simulation results are given to show the performance of the observer design.


observer design differential mean value theorem (DMVT) sector nonlinearity transformation linear matrix inequalities (LMI) induction motor 


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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Mohamed Yacine Hammoudi
    • 1
    Email author
  • Abdelkarim Allag
    • 1
  • Mohamed Becherif
    • 2
  • Mohamed Benbouzid
    • 3
  • Hamza Alloui
    • 4
  1. 1.MSE Laboratory, Department of Electrical EngineeringUniversity of BiskraBiskraAlgeria
  2. 2.FCLabUniversity of Technology of Belfort-Montbéliard, CNRS 3539, Femto-ST UMR 6174BelfortFrance
  3. 3.LBMSUniversity of BrestBrest Cedex 3France
  4. 4.Ecole militaire polytechniqueUER ELTAlgiersAlgeria

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