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

Petros Karamanakos, Tobias Geyer, Ralph Kennel

Research output: Contribution to journalArticlepeer-review

78 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)7105-7117
Number of pages13
JournalIEEE Transactions on Power Electronics
Volume33
Issue number8
DOIs
StatePublished - Aug 2018

Keywords

  • Model predictive control (MPC)
  • objective function
  • optimal control
  • system stability

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