Stability-Assured Finite-Control-Set Model Predictive Control for Perturbed Electrical Drives

The development of rigorous theoretical tools, such as feasibility and stability analysis, for finite-control-set model predictive control (FCS-MPC) of electric drives, has lagged behind advancements in engineering practice. To address this gap, this article introduces a unified control method that integrates disturbance estimation and control Lyapunov functions (CLFs) within the FCS-MPC framework. This approach is applied to perturbed electrical drive systems, with inverter-fed permanent magnet synchronous motor systems as a primary example. First, we propose a specific class of CLFs that enables separate design of disturbance estimation, later incorporating it as a constraint in the optimization problem. Theorems and lemmas are then provided to demonstrate that using the disturbance-estimation-based control Lyapunov function constraint in an FCS-MPC setting ensures a nonempty feasible control set, guaranteeing closed-loop stability by design. Experiments conducted on a test bench validate the practicability of the proposed method. A comprehensive performance evaluation is presented under various conditions.