International Journal of Power Electronics and Drive System (IJPEDS) Vol. 10, No. 1, March 2019, pp. 27~40 ISSN: 2088-8694, DOI: 10.11591/ijpeds.v10.i1.pp27-40  27 Journal homepage: http://iaescore.com/journals/index.php/IJPEDS Double star induction machine using nonlinear integral backstepping control Abdallah Abden 1 , A. Bouchetta 2 , O. Boughazi 3 , A. Baghdadi 4 , I. K. Bousserhane 5 1,2,3,5 TAHRI Mohammed University, Bechar, Algeria 4 Djillali Liabes University, Sidi-bel-Abbes, Algeria Article Info ABSTRACT Article history: Received Apr 11, 2018 Revised Sep 24, 2018 Accepted Oct 23, 2018 This paper presents a nonlinear Integral backstepping control approach based on field-oriented control technique, applied to a Double Star Induction Machine ‘DSIM’ feed by two power voltage sources. We present this technique of integral backstepping by using reduced and complete mathematical model. The objective is to improve the robustness of machine under internal parameter variation with nonlinear Integral backstepping control. The robustness test results obtained by simulation prove the effectiveness of control with using complete model of DSIM. Keywords: Dual star induction Field oriented control (FOC) Integral backstepping lyapunov function Machine (DSIM) Nonlinear control Copyright © 2019 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Abdallah Abden, Control analysis and optimization of Electro-energy systems laboratory, Tahri Mohammed University, Bechar, Algeria. Email: abdenabd08@gmail.com 1. INTRODUCTION For many years DSIM have been used in many applications, for their advantages, among others: Minimise the electromagnetic torque and the rotor losses, uses a power electronics component which allows a higher commutation frequency and the improvement of reliability by offering the possibility of operating correctly in degraded regimes (one or more open phases) [1]-[3]. A lot of research has approached the control of the DSIM for more than 20 years, while seeking to have a very good rejection of disruption and good robustness in the face of changing parameters. In this paper we propose in this article a Backstepping control using the complete mathematical model of the machine, we will then make a comparison of these performances with the Backstepping control using reduced model. we use this technique to design a robust control based on the principle of field oriented control, this new version of backstepping with integral action solves the problem of constant static error and sensitivity to Noise appeared in the classic version of backstepping. The effectiveness of this proposed control structure is verified by simulation using the reduced and complete model of DSIM, with this proposed control, the load disturbance rejection capability is highly improved. 2. DESCRIPTION OF THE DSIM This machine is based on the principle of a double stators displaced by γ=30°. The stators are similar to the stator of a simple induction machine and fed with 03 phase alternating current and provide a rotating flux, each star is composed by three identical windings with axes spaced by α=γ= 30 ° [1]-[3], [10]-[12].