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On the choice of norm in finite control set model predictive control

Tutkimustuotosvertaisarvioitu

Standard

On the choice of norm in finite control set model predictive control. / Karamanakos, Petros; Geyer, Tobias; Kennel, Ralph.

julkaisussa: IEEE Transactions on Power Electronics, Vuosikerta 33, Nro 8, 2018, s. 7105-7117.

Tutkimustuotosvertaisarvioitu

Harvard

Karamanakos, P, Geyer, T & Kennel, R 2018, 'On the choice of norm in finite control set model predictive control', IEEE Transactions on Power Electronics, Vuosikerta. 33, Nro 8, Sivut 7105-7117. https://doi.org/10.1109/TPEL.2017.2756092

APA

Karamanakos, P., Geyer, T., & Kennel, R. (2018). On the choice of norm in finite control set model predictive control. IEEE Transactions on Power Electronics, 33(8), 7105-7117. https://doi.org/10.1109/TPEL.2017.2756092

Vancouver

Karamanakos P, Geyer T, Kennel R. On the choice of norm in finite control set model predictive control. IEEE Transactions on Power Electronics. 2018;33(8):7105-7117. https://doi.org/10.1109/TPEL.2017.2756092

Author

Karamanakos, Petros ; Geyer, Tobias ; Kennel, Ralph. / On the choice of norm in finite control set model predictive control. Julkaisussa: IEEE Transactions on Power Electronics. 2018 ; Vuosikerta 33, Nro 8. Sivut 7105-7117.

Bibtex - Lataa

@article{b23153f979794810900a75fac4396963,
title = "On the choice of norm in finite control set model predictive control",
abstract = "In power electronics, the ℓ1-norm (instead of the squared 2-norm) is often used in the objective function of model predictive controllers (MPCs) with reference tracking. Although the ℓ1-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 ℓ2-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 ℓ2-norm.",
keywords = "Model predictive control (MPC), objective function, optimal control, system stability",
author = "Petros Karamanakos and Tobias Geyer and Ralph Kennel",
year = "2018",
doi = "10.1109/TPEL.2017.2756092",
language = "English",
volume = "33",
pages = "7105--7117",
journal = "IEEE Transactions on Power Electronics",
issn = "0885-8993",
publisher = "Institute of Electrical and Electronics Engineers",
number = "8",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - On the choice of norm in finite control set model predictive control

AU - Karamanakos, Petros

AU - Geyer, Tobias

AU - Kennel, Ralph

PY - 2018

Y1 - 2018

N2 - In power electronics, the ℓ1-norm (instead of the squared 2-norm) is often used in the objective function of model predictive controllers (MPCs) with reference tracking. Although the ℓ1-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 ℓ2-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 ℓ2-norm.

AB - In power electronics, the ℓ1-norm (instead of the squared 2-norm) is often used in the objective function of model predictive controllers (MPCs) with reference tracking. Although the ℓ1-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 ℓ2-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 ℓ2-norm.

KW - Model predictive control (MPC)

KW - objective function

KW - optimal control

KW - system stability

UR - http://www.scopus.com/inward/record.url?scp=85030698524&partnerID=8YFLogxK

U2 - 10.1109/TPEL.2017.2756092

DO - 10.1109/TPEL.2017.2756092

M3 - Article

VL - 33

SP - 7105

EP - 7117

JO - IEEE Transactions on Power Electronics

JF - IEEE Transactions on Power Electronics

SN - 0885-8993

IS - 8

ER -