Analyzing Controller Performance in Single-Phase Inverters under Variable Conditions - Part II: Proportional-Resonant, Lyapunov-Based, and Model Predictive Approaches

In this paper, we investigate the performance of a single-phase inverter utilizing three complex control methods: Proportional-Resonant (PR) Control, Lyapunov-Based Control (LB), and Model Predictive Control (MPC). The effectiveness of all methods was independently evaluated across multiple filter settings, providing a full evaluation of each controller’s reaction dynamics. The harmonic content, steady-state errors, and ripple induced by each controller in the inverter’s output current were thoroughly examined. The results show that, while the PR controller is simple to use, it introduces more harmonics, steady-state errors, and ripple than the LB and MPC controllers. Furthermore, the results indicate that, when all parameters are considered, the MPC as well as LB approach emerges as the most optimal controller for single-phase inverters.