Anti-windup coordination strategy around a fair equilibrium in resource sharing networks
(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:
https://lup.lub.lu.se/record/c32730da-6a22-4541-be82-1359a53fc958
- author
- Agner, Felix LU ; Kergus, Pauline LU ; Tarbouriech, Sophie ; Zaccarian, Luca and Rantzer, Anders LU
- organization
- publishing date
- 2023-06-08
- 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
- 2024-06-28 07:11:03
@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}}, }