Optimal tracking control for energy management systems in microgrids

This paper presents an optimal controller in order to achieve a trajectory tracking for nonlinear systems and the minimization of a quadratic cost functional. The synthesized optimal control law comes from solving the Hamilton-Jacobi-Bellman (HJB) equation for state-dependent coefficient factorized nonlinear systems. The proposed control scheme is used for ensuring an efficient power flow exchange between different sources in a microgrid by using power converters. The signal references to be tracked by the control system are considered to be established by an energy management system in accordance to the amount of energy to be transfered, and taking into account variables such as energy availability from the sources, the weather, the price of electric power, the cost of fuel, among others. The effectiveness of the proposed optimal approach is illustrated via simulations.