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On Decentralized H-Infinity Optimal Positive Systems

Vladu, Emil LU orcid and Rantzer, Anders LU orcid (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.

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author
and
organization
publishing date
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
2025-10-14 09:12:52
@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}},
}