Optimal tracking control for an AC-DC power converter

This paper presents an optimal controller in order to achieve trajectory tracking for the DC output voltage of an AC-DC power converter, which is described by nonlinear dynamics. The synthesized optimal control law comes from solving the Hamilton-Jacobi-Bellman equation for state-dependent coefficient factorized nonlinear systems. The proposed controller results in a state feedback optimal control law plus a time varying term, which minimizes a quadratic performance index. In order to illustrate the tracking to a desired reference, the controller is applied to an AC-DC converter, considering two cases: fixed and variable frequency for the input voltage source. Simulation results illustrate the effectiveness of the control scheme.