Disturbance-Rejection-Based Model Predictive Control: Flexible-Mode Design with a Modulator for Three-Phase Inverters

This paper aims to investigate a disturbance-rejection-based model predictive control (MPC) with two flexible modes (i.e., unconstrained mode and constrained mode) for three-phase inverters with an $LC$ filter. A disturbance observer (DOB) is designed to both simplify the prediction model and achieve the robustness against uncertain parameters. First, the unconstrained mode is designed with a simple horizon-one MPC control law to precisely regulate the output voltage in the steady state. Next, the constrained mode is designed with long-horizon MPC to quickly drive the system to the unconstrained mode by further optimizing the modulation stage. Also, the proposed MPC ensures the robustness and optimality in all operating modes. Especially, the overall closed-loop stability with DOB dynamics is proven by using Lyapunov function. Unlike other MPC methods, the long-horizon MPC in the constrained mode is specialized by finite switching sequences of the sector-based space vector modulation. Comparative studies with the conventional linear quadratic regulator are conducted on a prototype test bed with a TI TMS320F28335 DSP. Then, the proposed MPC method verifies fast dynamic response and advanced voltage regulation (i.e., small steady-state errors and low total harmonic distortion) under various load conditions and uncertain parameters.