Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs

Petros Karamanakos; Tobias Geyer; Ralph Kennel

doi:10.1109/CDC.2015.7402787

Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs

Petros Karamanakos, Tobias Geyer, Ralph Kennel

Chair of High-Power Converter Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

The model predictive control problem of linear systems with integer inputs results in an integer optimization problem. In case of a quadratic objective function, the optimization problem can be cast as an integer least-squares (ILS) problem. Three algorithms to solve this problem are proposed in this paper. Optimality can be traded in to reduce the computation time. An industrial case study-an inverter-driven electrical drive system-is considered to demonstrate the effectiveness of the presented techniques.

Original language	English
Title of host publication	54rd IEEE Conference on Decision and Control,CDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3663-3668
Number of pages	6
ISBN (Electronic)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7402787
State	Published - 8 Feb 2015
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15

Access to Document

10.1109/CDC.2015.7402787

Cite this

Karamanakos, P., Geyer, T., & Kennel, R. (2015). Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 3663-3668). Article 7402787 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402787

@inproceedings{c1d1cd93539a4659bc5c6bba5357ec35,

title = "Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs",

abstract = "The model predictive control problem of linear systems with integer inputs results in an integer optimization problem. In case of a quadratic objective function, the optimization problem can be cast as an integer least-squares (ILS) problem. Three algorithms to solve this problem are proposed in this paper. Optimality can be traded in to reduce the computation time. An industrial case study-an inverter-driven electrical drive system-is considered to demonstrate the effectiveness of the presented techniques.",

author = "Petros Karamanakos and Tobias Geyer and Ralph Kennel",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

year = "2015",

month = feb,

day = "8",

doi = "10.1109/CDC.2015.7402787",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3663--3668",

booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",

}

Karamanakos, P, Geyer, T & Kennel, R 2015, Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs. in 54rd IEEE Conference on Decision and Control,CDC 2015., 7402787, Proceedings of the IEEE Conference on Decision and Control, vol. 54rd IEEE Conference on Decision and Control,CDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 3663-3668, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7402787

Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs. / Karamanakos, Petros; Geyer, Tobias; Kennel, Ralph.
54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 3663-3668 7402787 (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs

AU - Karamanakos, Petros

AU - Geyer, Tobias

AU - Kennel, Ralph

PY - 2015/2/8

Y1 - 2015/2/8

N2 - The model predictive control problem of linear systems with integer inputs results in an integer optimization problem. In case of a quadratic objective function, the optimization problem can be cast as an integer least-squares (ILS) problem. Three algorithms to solve this problem are proposed in this paper. Optimality can be traded in to reduce the computation time. An industrial case study-an inverter-driven electrical drive system-is considered to demonstrate the effectiveness of the presented techniques.

AB - The model predictive control problem of linear systems with integer inputs results in an integer optimization problem. In case of a quadratic objective function, the optimization problem can be cast as an integer least-squares (ILS) problem. Three algorithms to solve this problem are proposed in this paper. Optimality can be traded in to reduce the computation time. An industrial case study-an inverter-driven electrical drive system-is considered to demonstrate the effectiveness of the presented techniques.

UR - http://www.scopus.com/inward/record.url?scp=84961990645&partnerID=8YFLogxK

U2 - 10.1109/CDC.2015.7402787

DO - 10.1109/CDC.2015.7402787

M3 - Conference contribution

AN - SCOPUS:84961990645

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 3663

EP - 3668

BT - 54rd IEEE Conference on Decision and Control,CDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

Karamanakos P, Geyer T, Kennel R. Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs. In 54rd IEEE Conference on Decision and Control,CDC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 3663-3668. 7402787. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2015.7402787

Computationally efficient optimization algorithms for model predictive control of linear systems with integer inputs

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this