On the Optimal Control of Relaxation Systems

Richard Pates; Carolina Bergeling; Anders Rantzer

doi:10.1109/CDC40024.2019.9029933

On the Optimal Control of Relaxation Systems

Richard Pates, Carolina Bergeling, Anders Rantzer

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

Abstract

The relaxation systems are an important subclass of the passive systems that arise naturally in applications. We exploit the fact that they have highly structured state-space realisations to derive analytical solutions to some simple H-infinity type optimal control problems. The resulting controllers are also relaxation systems, and often sparse. This makes them ideal candidates for applications in large-scale problems, which we demonstrate by designing simple, sparse, electrical circuits to optimally control large inductive networks and to solve linear regression problems.

Original language	English
Title of host publication	2019 IEEE 58th Conference on Decision and Control, CDC 2019
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	6068-6073
Number of pages	6
ISBN (Electronic)	9781728113982
ISBN (Print)	978-1-7281-1399-9
DOIs	https://doi.org/10.1109/CDC40024.2019.9029933
Publication status	Published - 2020 Oct 12
Event	58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France Duration: 2019 Dec 11 → 2019 Dec 13

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Publisher	IEEE
Volume	2019-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	58th IEEE Conference on Decision and Control, CDC 2019
Country/Territory	France
City	Nice
Period	2019/12/11 → 2019/12/13

Subject classification (UKÄ)

Control Engineering

Access to Document

10.1109/CDC40024.2019.9029933

https://arxiv.org/pdf/1909.07219.pdf

ScalableControl: Scalable Control of Interconnected Systems
Rantzer, A., Jouini, T., Agner, F., Troeng, O., Kergus, P., Pates, R., Kjellqvist, O., Renganathan, V., Wu, D. & Lindberg, J.
2019/09/01 → 2024/08/31
Project: Research

Cite this

Pates, R., Bergeling, C., & Rantzer, A. (2020). On the Optimal Control of Relaxation Systems. In 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 6068-6073). Article 9029933 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December). IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029933

@inproceedings{00e0fe257f744e7a8a7f4f218224ff74,

title = "On the Optimal Control of Relaxation Systems",

abstract = "The relaxation systems are an important subclass of the passive systems that arise naturally in applications. We exploit the fact that they have highly structured state-space realisations to derive analytical solutions to some simple H-infinity type optimal control problems. The resulting controllers are also relaxation systems, and often sparse. This makes them ideal candidates for applications in large-scale problems, which we demonstrate by designing simple, sparse, electrical circuits to optimally control large inductive networks and to solve linear regression problems.",

author = "Richard Pates and Carolina Bergeling and Anders Rantzer",

year = "2020",

month = oct,

day = "12",

doi = "10.1109/CDC40024.2019.9029933",

language = "English",

isbn = "978-1-7281-1399-9",

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

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

pages = "6068--6073",

booktitle = "2019 IEEE 58th Conference on Decision and Control, CDC 2019",

address = "United States",

note = "58th IEEE Conference on Decision and Control, CDC 2019 ; Conference date: 11-12-2019 Through 13-12-2019",

}

Pates, R , Bergeling, C & Rantzer, A 2020, On the Optimal Control of Relaxation Systems. in 2019 IEEE 58th Conference on Decision and Control, CDC 2019., 9029933, Proceedings of the IEEE Conference on Decision and Control, vol. 2019-December, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 6068-6073, 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, 2019/12/11. https://doi.org/10.1109/CDC40024.2019.9029933

On the Optimal Control of Relaxation Systems. / Pates, Richard ; Bergeling, Carolina ; Rantzer, Anders.
2019 IEEE 58th Conference on Decision and Control, CDC 2019. IEEE - Institute of Electrical and Electronics Engineers Inc., 2020. p. 6068-6073 9029933 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2019-December).

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

TY - GEN

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AU - Bergeling, Carolina

AU - Rantzer, Anders

PY - 2020/10/12

Y1 - 2020/10/12

N2 - The relaxation systems are an important subclass of the passive systems that arise naturally in applications. We exploit the fact that they have highly structured state-space realisations to derive analytical solutions to some simple H-infinity type optimal control problems. The resulting controllers are also relaxation systems, and often sparse. This makes them ideal candidates for applications in large-scale problems, which we demonstrate by designing simple, sparse, electrical circuits to optimally control large inductive networks and to solve linear regression problems.

AB - The relaxation systems are an important subclass of the passive systems that arise naturally in applications. We exploit the fact that they have highly structured state-space realisations to derive analytical solutions to some simple H-infinity type optimal control problems. The resulting controllers are also relaxation systems, and often sparse. This makes them ideal candidates for applications in large-scale problems, which we demonstrate by designing simple, sparse, electrical circuits to optimally control large inductive networks and to solve linear regression problems.

U2 - 10.1109/CDC40024.2019.9029933

DO - 10.1109/CDC40024.2019.9029933

M3 - Paper in conference proceeding

AN - SCOPUS:85082475668

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2019 IEEE 58th Conference on Decision and Control, CDC 2019

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 58th IEEE Conference on Decision and Control, CDC 2019

Y2 - 11 December 2019 through 13 December 2019

ER -

On the Optimal Control of Relaxation Systems

Abstract

Publication series

Conference

Subject classification (UKÄ)

Access to Document

Fingerprint

Projects

ScalableControl: Scalable Control of Interconnected Systems

Cite this