### Backstepping Control of the Induction Machine, Based on Flux Sliding Mode Observer, with Rotor and Stator Resistances Adaptation

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#### Abstract

In this paper we present a robust control of rotor speed and rotor flux of the induction machine, using a Backstepping control scheme. In this scheme the induction machine is represented by a model described in the fixed stator frame with rotor flux, stator current and rotor speed as stat variables. The backstepping technique is appropriate for such as non linear system. The outputs control can be derived step by step, over virtual-control, through appropriate Lyapunov functions. In order to improve the control robustness especially against parameters variation, we design an adaption mechanism of parameters based on estimation of rotor and stator resistances. The simultaneous estimation of those parameters is made by an observer using a specific MRAS technique. As the controller and the parameters adaptation mechanism depends on the flux, that is unmeasured, we design a robust and fast flux observer based on sliding mode technique. Simulation is realized and its results are presented to validate and to prove the effectiveness and robustness of the proposed control. *Copyright © 2014 Praise Worthy Prize - All rights reserved.*

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