On the stability and robustness of model predictive direct current control

Model predictive direct current control (MPDCC) has emerged as a promising control scheme for high-power power electronic applications, achieving very low current distortion levels and fast dynamic responses. This is achieved by addressing the current control and the modulation problems in one computational stage. For MPDCC the issue of closed-loop stability has not yet been investigated. In this paper, it will be shown that the MPDCC algorithm guarantees stability, i.e. the load currents are moved into given bounds and kept inside of these bounds. It will also be shown that-by slightly modifying the MPDCC algorithm-robustness to parameter uncertainties can be established.