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H-infinity Optimal Control for Systems with a Bottleneck Frequency

Bergeling, Carolina LU orcid ; Pates, Richard LU and Rantzer, Anders LU orcid (2021) In IEEE Transactions on Automatic Control 66(6). p.2732-2738
Abstract

We characterize a class of systems for which the H-infinity optimal control problem can be simplified in a way that enables sparse solutions and efficient computation. For a subclass of the systems, an optimal controller can be explicitly expressed in terms of the matrices of the system's state-space representation. In many applications, the controller given by this formula, which is static, can be implemented in a decentralized or distributed fashion. Examples are temperature dynamics in buildings, water irrigation and electrical networks.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Buildings, Distributed control, Frequency control, Frequency synthesizers, H infinity control, Large-scale systems, Linear systems, Network analysis and Control, Optimal control, Sparse matrices
in
IEEE Transactions on Automatic Control
volume
66
issue
6
pages
7 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85089288121
ISSN
0018-9286
DOI
10.1109/TAC.2020.3010263
project
Scalable Control of Interconnected Systems
WASP: Wallenberg AI, Autonomous Systems and Software Program at Lund University
language
English
LU publication?
yes
id
11501763-79f8-42ed-abf5-ab19203bab1d
date added to LUP
2020-08-19 09:57:34
date last changed
2025-04-04 14:32:54
@article{11501763-79f8-42ed-abf5-ab19203bab1d,
  abstract     = {{<p>We characterize a class of systems for which the H-infinity optimal control problem can be simplified in a way that enables sparse solutions and efficient computation. For a subclass of the systems, an optimal controller can be explicitly expressed in terms of the matrices of the system&amp;#x0027;s state-space representation. In many applications, the controller given by this formula, which is static, can be implemented in a decentralized or distributed fashion. Examples are temperature dynamics in buildings, water irrigation and electrical networks.</p>}},
  author       = {{Bergeling, Carolina and Pates, Richard and Rantzer, Anders}},
  issn         = {{0018-9286}},
  keywords     = {{Buildings; Distributed control; Frequency control; Frequency synthesizers; H infinity control; Large-scale systems; Linear systems; Network analysis and Control; Optimal control; Sparse matrices}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{2732--2738}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{H-infinity Optimal Control for Systems with a Bottleneck Frequency}},
  url          = {{https://lup.lub.lu.se/search/files/97737159/H_infinityBottleneck.pdf}},
  doi          = {{10.1109/TAC.2020.3010263}},
  volume       = {{66}},
  year         = {{2021}},
}