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Anti-windup coordination strategy around a fair equilibrium in resource sharing networks

Agner, Felix LU ; Kergus, Pauline LU ; Tarbouriech, Sophie ; Zaccarian, Luca and Rantzer, Anders LU orcid (2023) In IEEE Control Systems Letters
Abstract
We coordinate interconnected agents where the control input of each
agent is limited by the control input of others. In that sense, the sys-
tems have to share a limited resource over a network. Such problems can
arise in different areas and it is here motivated by a district heating ex-
ample. When the shared resource is insufficient for the combined need
of all systems, the resource will have to be shared in an optimal fash-
ion. In this scenario, we want the systems to automatically converge to
an optimal equilibrium. The contribution of this paper is the proposal
of a control architecture where each separate system is controlled by a
local PI controller. The controllers are then coordinated through a... (More)
We coordinate interconnected agents where the control input of each
agent is limited by the control input of others. In that sense, the sys-
tems have to share a limited resource over a network. Such problems can
arise in different areas and it is here motivated by a district heating ex-
ample. When the shared resource is insufficient for the combined need
of all systems, the resource will have to be shared in an optimal fash-
ion. In this scenario, we want the systems to automatically converge to
an optimal equilibrium. The contribution of this paper is the proposal
of a control architecture where each separate system is controlled by a
local PI controller. The controllers are then coordinated through a global
rank-one anti-windup signal. It is shown that the equilibrium of the pro-
posed closed-loop system minimizes the infinity-norm of stationary state
deviations. A proof of linear-domain passivity is given, and a numerical
example highlights the benefits of the proposed method with respect to
the state-of-the-art. (Less)
Please use this url to cite or link to this publication:
author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Control Systems Letters
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85163514496
ISSN
2475-1456
DOI
10.1109/LCSYS.2023.3287252
project
Scalable Control for Increased Flexibility in District Heating Networks
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
c32730da-6a22-4541-be82-1359a53fc958
alternative location
https://arxiv.org/abs/2304.00915
date added to LUP
2023-04-04 08:15:13
date last changed
2024-03-06 23:58:36
@article{c32730da-6a22-4541-be82-1359a53fc958,
  abstract     = {{We coordinate interconnected agents where the control input of each<br/>agent is limited by the control input of others. In that sense, the sys-<br/>tems have to share a limited resource over a network. Such problems can<br/>arise in different areas and it is here motivated by a district heating ex-<br/>ample. When the shared resource is insufficient for the combined need<br/>of all systems, the resource will have to be shared in an optimal fash-<br/>ion. In this scenario, we want the systems to automatically converge to<br/>an optimal equilibrium. The contribution of this paper is the proposal<br/>of a control architecture where each separate system is controlled by a<br/>local PI controller. The controllers are then coordinated through a global<br/>rank-one anti-windup signal. It is shown that the equilibrium of the pro-<br/>posed closed-loop system minimizes the infinity-norm of stationary state<br/>deviations. A proof of linear-domain passivity is given, and a numerical<br/>example highlights the benefits of the proposed method with respect to<br/>the state-of-the-art.}},
  author       = {{Agner, Felix and Kergus, Pauline and Tarbouriech, Sophie and Zaccarian, Luca and Rantzer, Anders}},
  issn         = {{2475-1456}},
  language     = {{eng}},
  month        = {{06}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Control Systems Letters}},
  title        = {{Anti-windup coordination strategy around a fair equilibrium in resource sharing networks}},
  url          = {{http://dx.doi.org/10.1109/LCSYS.2023.3287252}},
  doi          = {{10.1109/LCSYS.2023.3287252}},
  year         = {{2023}},
}