In this paper, we present the vector control of a permanent magnet synchronous machine (PMSM) by a PI regulator whose tracking performance; speed, stability, and precision are satisfactory. However, we can see the influence of the variation in the resistance and load torque on the behavior of the controlled system. we analyze the simulation results found and then we make an inventory of PI disadvantages. This work is modified with a novelty by introducing a new control law namely sliding mode and backstepping control law. Then we analyze the results found making a comparison to those of the PI regulator.

This paper presents a nonlinear control of (PMSM) using backstepping. We will study the different performances and robustness of each type of control, by introducing a new Lyapunov function candidate with a large possibility of parameter choice. Simulation results clearly show that the speed and current tracking errors asymptotically converge to zeros. Compared with neural networks control schemes, we do not require the unknown parameters to be linear parametrizable. No regression matrices are needed, so no preliminary dynamical analysis is needed.

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