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H-infinity Optimal Control for Systems with a Bottleneck Frequency

Bergeling, Carolina LU ; Pates, Richard LU and Rantzer, Anders LU (2020) In IEEE Transactions on Automatic Control
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.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
epub
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
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85089288121
ISSN
0018-9286
DOI
10.1109/TAC.2020.3010263
language
English
LU publication?
yes
id
11501763-79f8-42ed-abf5-ab19203bab1d
date added to LUP
2020-08-19 09:57:34
date last changed
2020-08-26 05:18:16
@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},
  language     = {eng},
  month        = {07},
  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          = {http://dx.doi.org/10.1109/TAC.2020.3010263},
  doi          = {10.1109/TAC.2020.3010263},
  year         = {2020},
}