On Decentralized H-Infinity Optimal Positive Systems
(2023) In IEEE Control Systems Letters 7. p.391-394- Abstract
This letter gives a closed-form expression for an H-infinity optimal controller with diagonal gain matrix. This phenomenon occurs for certain network systems with acyclic graphs, and potential applications include irrigation networks. Moreover, the above is identified as a special case of a particular controller structure which is shown to be H-infinity optimal if the controller and the resulting closed-loop system are positive. A subsequent result then establishes a connection with open-loop positive systems, and its usefulness in applications is demonstrated on a large set of compartmental systems.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/e1d9398b-3f1c-4604-9810-4b2f5059898e
- author
- Vladu, Emil LU and Rantzer, Anders LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- compartmental and positive systems, decentralized control, large-scale systems, Robust control
- in
- IEEE Control Systems Letters
- volume
- 7
- pages
- 4 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85134201766
- ISSN
- 2475-1456
- DOI
- 10.1109/LCSYS.2022.3189305
- language
- English
- LU publication?
- yes
- id
- e1d9398b-3f1c-4604-9810-4b2f5059898e
- date added to LUP
- 2022-08-30 16:47:11
- date last changed
- 2023-11-21 10:38:35
@article{e1d9398b-3f1c-4604-9810-4b2f5059898e, abstract = {{<p>This letter gives a closed-form expression for an H-infinity optimal controller with diagonal gain matrix. This phenomenon occurs for certain network systems with acyclic graphs, and potential applications include irrigation networks. Moreover, the above is identified as a special case of a particular controller structure which is shown to be H-infinity optimal if the controller and the resulting closed-loop system are positive. A subsequent result then establishes a connection with open-loop positive systems, and its usefulness in applications is demonstrated on a large set of compartmental systems. </p>}}, author = {{Vladu, Emil and Rantzer, Anders}}, issn = {{2475-1456}}, keywords = {{compartmental and positive systems; decentralized control; large-scale systems; Robust control}}, language = {{eng}}, pages = {{391--394}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Control Systems Letters}}, title = {{On Decentralized H-Infinity Optimal Positive Systems}}, url = {{http://dx.doi.org/10.1109/LCSYS.2022.3189305}}, doi = {{10.1109/LCSYS.2022.3189305}}, volume = {{7}}, year = {{2023}}, }