Optimal tracking control for a single-phase inverter

This paper describes the design, modeling and synthesis of an optimal tracking controller for a single-phase inverter connected to the utility grid through an LCL filter (Inductance-Capacitance-Inductance), in order to regulate the power to be injected to the grid. The LCL filter is used to reduce the total harmonic distortion produced by the inverter, resulting in energy of appropriate quality to be injected to the utility grid. Hence, it is required an efficient control scheme for the inverter (including the LCL filter) which evaluates the control system performance and control effort; therefore, it is proposed to use a control strategy based on optimal control, which achieves an adequate performance of the inverter operation. Simulation results illustrate the effectiveness of the control scheme. Additionally, an observer is designed for the unmeasured states such the obtained control law can be applied.