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 language | English |
---|---|
Pages (from-to) | 7105-7117 |
Number of pages | 13 |
Journal | IEEE Transactions on Power Electronics |
Volume | 33 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2018 |
Keywords
- Model predictive control (MPC)
- objective function
- optimal control
- system stability