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Decentralized PI-control and Anti-windup in Resource Sharing Networks

Agner, Felix LU ; Hansson, Jonas LU orcid ; Kergus, Pauline ; Rantzer, Anders LU orcid ; Tarbouriech, Sophie and Zaccarian, Luca (2024)
Abstract
We consider control of multiple stable first-order systems which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional integral anti-windup-equipped controllers subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed-loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example.
Please use this url to cite or link to this publication:
author
; ; ; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
in press
subject
host publication
ECC 2024
project
Scalable Control for Increased Flexibility in District Heating Networks
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
db905afe-d4a0-40ca-bca7-0202ee2d18b0
alternative location
https://arxiv.org/abs/2311.00433
date added to LUP
2023-11-02 08:59:33
date last changed
2024-03-15 09:00:21
@inproceedings{db905afe-d4a0-40ca-bca7-0202ee2d18b0,
  abstract     = {{We consider control of multiple stable first-order systems which have a control coupling described by an M-matrix. These agents are subject to incremental sector-bounded nonlinearities. We show that such plants can be globally asymptotically stabilized to a unique equilibrium using fully decentralized proportional integral anti-windup-equipped controllers subject to local tuning rules. In addition, we show that when the nonlinearities correspond to the saturation function, the closed-loop asymptotically minimizes a weighted 1-norm of the agents state mismatch. The control strategy is finally compared to other state-of-the-art controllers on a numerical district heating example.}},
  author       = {{Agner, Felix and Hansson, Jonas and Kergus, Pauline and Rantzer, Anders and Tarbouriech, Sophie and Zaccarian, Luca}},
  booktitle    = {{ECC 2024}},
  language     = {{eng}},
  month        = {{02}},
  title        = {{Decentralized PI-control and Anti-windup in Resource Sharing Networks}},
  url          = {{https://arxiv.org/abs/2311.00433}},
  year         = {{2024}},
}