Abstract: This study presents a new control strategy for a three phase PWM converter, which consists of applying an adaptive backstepping control. The input-output feedback linearisation approach is based on the exact cancellation of the nonlinearity, for this reason, this technique is not efficient, because system parameters can vary. The nonlinear adaptive backstepping control can compensate the nonlinearities in the nominal system and the uncertainties. Simulation results are obtained using Matlab/Simulink. These results show how the adaptive back-stepping law updates the system parameters and provide an efficient control design both for tracking and regulation.