The relationship between classical and MPC horizon 1 based current regulators

Model Predictive Control approach is being extensively used by researchers in the power electronics area. Since its early introduction to the field, it has been regarded as a strategy fundamentally different to the classical control approaches, which makes it difficult to compare MPC-based schemes with the existing control schemes. This paper shows, that there exists a direct relationship between classical control approaches and MPC horizon 1 approach. By using a linear load model and a number of practically important disturbance models and applying MPC horizon 1 approach, the paper develops a variety of optimal control structures, including Finite Set MPC, Proportional Integral and Proportional Resonant current controllers. The paper established connections between the resulting optimal controllers and the existing control schemes, and outlines a strategy leading to performance improvement of any linear controller with respect to any disturbance model of interest. The findings of the paper are supported by a practical example of optimization of a Proportional Resonant controller, confirmed via simulation and experiments.