On stability and performance of finite control set MPC for power converters

In the present work, we provide sufficient conditions for local practical stability for a specific class of power converters controlled via Finite Control Set Model Predictive Control which can be modeled as linear time-invariant systems with quantized input. In addition, we also establish bounds on the steady state behaviour of such systems. As illustrative examples, we apply our results to two converters, namely, a buck DC-DC converter, and a 2-level DC-AC inverter in a dq-coordinate frame.