Backstepping based control of three-phase pulse width modulation voltage source rectifier

Nonlinear backstepping adaptive controller is proposed for the design of three-phase PWM voltage source rectifier with uncertainties of the harmonic disturbance of the power, the additional resistance of the inductor and the load current. In the course of design, the procedure of the robust controller design is developed via improved backstepping. The adaptive controller with high robustness can restrain the impact of parameter uncertainty. Parameter estimation variable can automatically approach the actual value of the unknown parameters with the changes of initial values. It is proved that global asymptotic stability of the system is achieved under the proposed controller. The simulation results demonstrate the effectiveness of the presented method.