Backstepping control with integral action of PMSM integrated according to the MRAS observer

Abstract

The work developed in this article, has aims to control design law is based on Backstepping method to ensure the servo-control of the permanent magnet synchronous motors (PMSM). The slow convergence of adaptation can result, in some cases; irreversible instabilization loop, especially in the presence of nonlinearity and/or couplings. Hence, the Backstepping method coupled with introduction of integral actions is an alternative choice. Moreover, the Backstepping theory is a recursive design methodology that makes use of the Lyapunov stability theory. Strong properties of overall and asymptotic stability can be achieved. The second part of this work is a direct application of the control proposed to associate an observer, is the Model Reference Adaptive System (MRAS) to observe the position and the rotor speed of the MRAS. Furthermore, the simulation under the Matlab/Simulink software allows highlighting the performance of the control strategy adopted.