Decentralized PI-control and Anti-windup in Resource Sharing Networks
Agner, Felix LU ; Hansson, Jonas LU
; Kergus, Pauline
; Rantzer, Anders
LU
; Tarbouriech, Sophie
and Zaccarian, Luca
(2024)
In European Journal of Control
80.
- 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:
https://lup.lub.lu.se/record/db905afe-d4a0-40ca-bca7-0202ee2d18b0
- author
- Agner, Felix
LU
; Hansson, Jonas
LU
; Kergus, Pauline
; Rantzer, Anders
LU
; Tarbouriech, Sophie
and Zaccarian, Luca
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- published
- subject
- in
- European Journal of Control
- volume
- 80
- article number
- 101049
- publisher
- Lavoisier
- external identifiers
-
- scopus:85196959495
- ISSN
- 1435-5671
- DOI
- 10.1016/j.ejcon.2024.101049
- project
- Scalable Control for Increased Flexibility in District Heating Networks
- Scalable Control of Interconnected Systems
- Performance, Controllability, and Robustness of Large-Scale and Non-Normal Network 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
- 2025-04-04 14:08:41
@article{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}},
issn = {{1435-5671}},
language = {{eng}},
publisher = {{Lavoisier}},
series = {{European Journal of Control}},
title = {{Decentralized PI-control and Anti-windup in Resource Sharing Networks}},
url = {{http://dx.doi.org/10.1016/j.ejcon.2024.101049}},
doi = {{10.1016/j.ejcon.2024.101049}},
volume = {{80}},
year = {{2024}},
}