On the Choice of Norm in Finite Control Set Model Predictive Control.

In power electronics, the $\ell _1$-norm (instead of the squared $\ell _2$-norm) is often used in the objective function of model predictive controllers (MPCs) with reference tracking. Although the $\ell _1$-norm is preferred for its computational simplicity, it might lead to a performance deterioration and closed-loop instability. This paper analyzes the root cause for this and discusses the benefits of using the $\ell _2$-norm instead. Given the theoretical nature of this paper, a power electronics-oriented case study is employed to visualize and exemplify—through examples and simulations—the mathematical concepts and arguments presented. To this end, a variable speed drive system with a three-level voltage-source inverter serves as an illustrative example to clearly demonstrate the effectiveness of using the $\ell _2$-norm. [ABSTRACT FROM AUTHOR]