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

2014, Volume 8, Issue 4

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Frontiers in Energy >> 2014, Volume 8, Issue 4 doi: 10.1007/s11708-014-0314-x

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

1. MSE Laboratory, Department of Electrical Engineering, University of Biskra, BP 145, Biskra 07000, Algeria.2. FCLab, University of Technology of Belfort-Montbéliard, CNRS 3539, Femto-ST UMR 6174, Belfort 90010, France.3. LBMS, University of Brest, Kergoat street, CS 93837, 29238 Brest Cedex 3, France.4. Ecole militaire polytechnique, UER ELT, Algiers 1611, Algeria

Accepted: 2014-09-25 Available online: 2015-01-09

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Abstract

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.

Keywords

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

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