Synthesis of Minimax Adaptive Controller for a Finite Set of Linear Systems
Cederberg, Daniel ; Hansson, Anders and Rantzer, Anders LU
(2022)
61st IEEE Conference on Decision and Control, CDC 2022
In Proceedings of the IEEE Conference on Decision and Control
2022-December.
p.1380-1384
- Abstract
The design of an adaptive controller with bounded L2-gain from disturbances to errors for linear time-invariant systems with uncertain parameters restricted to a finite set is investigated. The synthesis of the controller requires finding matrices satisfying non-convex matrix inequalities. We propose an approach for finding these matrices based on repeatedly linearizing the terms that cause the non-convexity of the inequalities. Empirical evidence suggests that the approach leads to adaptive controllers with significantly smaller upper bound on the L2-gain.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2e8bb934-01eb-420e-95d9-4f37acb2dc29
- author
- Cederberg, Daniel
; Hansson, Anders
and Rantzer, Anders
LU
- organization
- publishing date
- 2022
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 2022 IEEE 61st Conference on Decision and Control, CDC 2022
- series title
- Proceedings of the IEEE Conference on Decision and Control
- volume
- 2022-December
- pages
- 5 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 61st IEEE Conference on Decision and Control, CDC 2022
- conference location
- Cancun, Mexico
- conference dates
- 2022-12-06 - 2022-12-09
- external identifiers
-
- scopus:85147033384
- ISSN
- 0743-1546
- 2576-2370
- ISBN
- 9781665467612
- DOI
- 10.1109/CDC51059.2022.9993060
- language
- English
- LU publication?
- yes
- id
- 2e8bb934-01eb-420e-95d9-4f37acb2dc29
- date added to LUP
- 2023-02-14 11:35:29
- date last changed
- 2025-11-30 01:44:00
@inproceedings{2e8bb934-01eb-420e-95d9-4f37acb2dc29,
abstract = {{<p>The design of an adaptive controller with bounded L2-gain from disturbances to errors for linear time-invariant systems with uncertain parameters restricted to a finite set is investigated. The synthesis of the controller requires finding matrices satisfying non-convex matrix inequalities. We propose an approach for finding these matrices based on repeatedly linearizing the terms that cause the non-convexity of the inequalities. Empirical evidence suggests that the approach leads to adaptive controllers with significantly smaller upper bound on the L2-gain.</p>}},
author = {{Cederberg, Daniel and Hansson, Anders and Rantzer, Anders}},
booktitle = {{2022 IEEE 61st Conference on Decision and Control, CDC 2022}},
isbn = {{9781665467612}},
issn = {{0743-1546}},
language = {{eng}},
pages = {{1380--1384}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{Proceedings of the IEEE Conference on Decision and Control}},
title = {{Synthesis of Minimax Adaptive Controller for a Finite Set of Linear Systems}},
url = {{http://dx.doi.org/10.1109/CDC51059.2022.9993060}},
doi = {{10.1109/CDC51059.2022.9993060}},
volume = {{2022-December}},
year = {{2022}},
}