Irredundant lattice piecewise affine representations and their applications in explicit model predictive control

Jun Xu; Ton J.J. Van Den Boom; Bart De Schutter

doi:10.1109/CDC.2014.7040078

Irredundant lattice piecewise affine representations and their applications in explicit model predictive control

Jun Xu
, Ton J.J. Van Den Boom
, Bart De Schutter

China University of Petroleum - Beijing
Delft University of Technology

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

5 Scopus citations

Abstract

In this paper, we derive the irredundant lattice piecewise affine (PWA) representation, which is capable of representing any continuous PWA function. Necessary and sufficient conditions for irredundancy are proposed. Besides, we discuss how to remove redundant terms and literals and propose corresponding necessary and sufficient conditions. In a worked example, the irredundant lattice PWA representation is used to express the explicit model predictive controller of a linear system, and the result turns out to be much more compact than that given by the state-of-the-art algorithm.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4416-4421
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7040078
State	Published - 2014
Externally published	Yes
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

Access to Document

10.1109/CDC.2014.7040078

Cite this

Xu, J., Van Den Boom, T. J. J., & De Schutter, B. (2014). Irredundant lattice piecewise affine representations and their applications in explicit model predictive control. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 4416-4421). Article 7040078 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7040078

Xu, Jun ; Van Den Boom, Ton J.J. ; De Schutter, Bart. / Irredundant lattice piecewise affine representations and their applications in explicit model predictive control. 53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 4416-4421 (Proceedings of the IEEE Conference on Decision and Control; February).

@inproceedings{232a8a3de8584cdf8f1c1edaf4d9ea5f,

title = "Irredundant lattice piecewise affine representations and their applications in explicit model predictive control",

abstract = "In this paper, we derive the irredundant lattice piecewise affine (PWA) representation, which is capable of representing any continuous PWA function. Necessary and sufficient conditions for irredundancy are proposed. Besides, we discuss how to remove redundant terms and literals and propose corresponding necessary and sufficient conditions. In a worked example, the irredundant lattice PWA representation is used to express the explicit model predictive controller of a linear system, and the result turns out to be much more compact than that given by the state-of-the-art algorithm.",

author = "Jun Xu and \{Van Den Boom\}, \{Ton J.J.\} and \{De Schutter\}, Bart",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7040078",

language = "英语",

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

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

number = "February",

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Xu, J, Van Den Boom, TJJ & De Schutter, B 2014, Irredundant lattice piecewise affine representations and their applications in explicit model predictive control. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7040078, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 4416-4421, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7040078

Irredundant lattice piecewise affine representations and their applications in explicit model predictive control. / Xu, Jun; Van Den Boom, Ton J.J.; De Schutter, Bart.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4416-4421 7040078 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

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

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AU - Van Den Boom, Ton J.J.

AU - De Schutter, Bart

PY - 2014

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N2 - In this paper, we derive the irredundant lattice piecewise affine (PWA) representation, which is capable of representing any continuous PWA function. Necessary and sufficient conditions for irredundancy are proposed. Besides, we discuss how to remove redundant terms and literals and propose corresponding necessary and sufficient conditions. In a worked example, the irredundant lattice PWA representation is used to express the explicit model predictive controller of a linear system, and the result turns out to be much more compact than that given by the state-of-the-art algorithm.

AB - In this paper, we derive the irredundant lattice piecewise affine (PWA) representation, which is capable of representing any continuous PWA function. Necessary and sufficient conditions for irredundancy are proposed. Besides, we discuss how to remove redundant terms and literals and propose corresponding necessary and sufficient conditions. In a worked example, the irredundant lattice PWA representation is used to express the explicit model predictive controller of a linear system, and the result turns out to be much more compact than that given by the state-of-the-art algorithm.

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Xu J, Van Den Boom TJJ, De Schutter B. Irredundant lattice piecewise affine representations and their applications in explicit model predictive control. In 53rd IEEE Conference on Decision and Control,CDC 2014. February ed. Institute of Electrical and Electronics Engineers Inc. 2014. p. 4416-4421. 7040078. (Proceedings of the IEEE Conference on Decision and Control; February). doi: 10.1109/CDC.2014.7040078

Irredundant lattice piecewise affine representations and their applications in explicit model predictive control

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