A Unifying Statement for an H-Infinity Optimal Controller with Positivity Properties
Vladu, Emil LU
(2024)
2024 American Control Conference, ACC 2024
p.3686-3691
- Abstract
In this paper, we unify two already published results on state feedback H-infinity optimality. Previously, optimality has been shown for a particular controller structure in the case that the open-loop state matrix is symmetric, as well as in the case that the closed-loop system is internally positive. By contrast, the main result of the present paper gives optimality based on neither of these two properties. As a result, when applied to a class of buffer networks, it succeeds not only in showing optimality when the system parameters are chosen so as to give open-loop symmetry and closed-loop positivity, respectively, but also when both of these properties are absent.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/98a92f1a-9335-401b-8eed-0a38e6399525
- author
- Vladu, Emil
LU
- organization
- publishing date
- 2024
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Proceedings of the American Control Conference
- pages
- 6 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 2024 American Control Conference, ACC 2024
- conference location
- Toronto, Canada
- conference dates
- 2024-07-10 - 2024-07-12
- external identifiers
-
- scopus:85204503837
- ISBN
- 9798350382655
- DOI
- 10.23919/ACC60939.2024.10644964
- language
- English
- LU publication?
- yes
- id
- 98a92f1a-9335-401b-8eed-0a38e6399525
- date added to LUP
- 2024-11-27 11:57:36
- date last changed
- 2025-04-04 14:08:06
@inproceedings{98a92f1a-9335-401b-8eed-0a38e6399525,
abstract = {{<p>In this paper, we unify two already published results on state feedback H-infinity optimality. Previously, optimality has been shown for a particular controller structure in the case that the open-loop state matrix is symmetric, as well as in the case that the closed-loop system is internally positive. By contrast, the main result of the present paper gives optimality based on neither of these two properties. As a result, when applied to a class of buffer networks, it succeeds not only in showing optimality when the system parameters are chosen so as to give open-loop symmetry and closed-loop positivity, respectively, but also when both of these properties are absent.</p>}},
author = {{Vladu, Emil}},
booktitle = {{Proceedings of the American Control Conference}},
isbn = {{9798350382655}},
language = {{eng}},
pages = {{3686--3691}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{A Unifying Statement for an H-Infinity Optimal Controller with Positivity Properties}},
url = {{http://dx.doi.org/10.23919/ACC60939.2024.10644964}},
doi = {{10.23919/ACC60939.2024.10644964}},
year = {{2024}},
}