On the Optimal Control of Relaxation Systems
Pates, Richard LU ; Bergeling, Carolina LU
and Rantzer, Anders
LU
(2020)
58th IEEE Conference on Decision and Control, CDC 2019
In Proceedings of the IEEE Conference on Decision and Control
2019-December.
p.6068-6073
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/00e0fe25-7f74-4e7a-8a7f-4f218224ff74
- author
- Pates, Richard
LU
; Bergeling, Carolina
LU
and Rantzer, Anders
LU
- organization
- publishing date
- 2020-10-12
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2019 IEEE 58th Conference on Decision and Control, CDC 2019
- series title
- Proceedings of the IEEE Conference on Decision and Control
- volume
- 2019-December
- article number
- 9029933
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 58th IEEE Conference on Decision and Control, CDC 2019
- conference location
- Nice, France
- conference dates
- 2019-12-11 - 2019-12-13
- external identifiers
-
- scopus:85082475668
- ISSN
- 0743-1546
- 2576-2370
- ISBN
- 978-1-7281-1399-9
- 9781728113982
- DOI
- 10.1109/CDC40024.2019.9029933
- project
- Scalable Control of Interconnected Systems
- language
- English
- LU publication?
- yes
- id
- 00e0fe25-7f74-4e7a-8a7f-4f218224ff74
- alternative location
- https://arxiv.org/pdf/1909.07219.pdf
- date added to LUP
- 2020-04-29 15:10:06
- date last changed
- 2024-05-15 10:24:17
@inproceedings{00e0fe25-7f74-4e7a-8a7f-4f218224ff74,
abstract = {{<p>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.</p>}},
author = {{Pates, Richard and Bergeling, Carolina and Rantzer, Anders}},
booktitle = {{2019 IEEE 58th Conference on Decision and Control, CDC 2019}},
isbn = {{978-1-7281-1399-9}},
issn = {{0743-1546}},
language = {{eng}},
month = {{10}},
pages = {{6068--6073}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{Proceedings of the IEEE Conference on Decision and Control}},
title = {{On the Optimal Control of Relaxation Systems}},
url = {{http://dx.doi.org/10.1109/CDC40024.2019.9029933}},
doi = {{10.1109/CDC40024.2019.9029933}},
volume = {{2019-December}},
year = {{2020}},
}