Decentralized PI-control and Anti-windup in Resource Sharing Networks
(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:
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
- 2024-02-29
- 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}}, }