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Scalable Control of Positive Systems

Rantzer, Anders LU (2015) In European Journal of Control 24. p.72-80
Abstract
Classical control theory does not scale well for large systems such as power networks, traffic networks and chemical reaction networks. However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems. It is therefore of great interest to see how such models can be used for control. This paper demonstrates how positive systems can be exploited for analysis and design of large-scale control systems. Methods for synthesis of distributed controllers are developed based on linear Lyapunov functions and storage functions instead of quadratic ones. The main results are extended to frequency domain input–output models using the notion of... (More)
Classical control theory does not scale well for large systems such as power networks, traffic networks and chemical reaction networks. However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems. It is therefore of great interest to see how such models can be used for control. This paper demonstrates how positive systems can be exploited for analysis and design of large-scale control systems. Methods for synthesis of distributed controllers are developed based on linear Lyapunov functions and storage functions instead of quadratic ones. The main results are extended to frequency domain input–output models using the notion of positively dominated system. Applications to transportation networks and vehicle formations are provided. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Distributed control, positive systems
in
European Journal of Control
volume
24
pages
72 - 80
publisher
Lavoisier
external identifiers
  • wos:000357224700007
  • scopus:84931008621
ISSN
1435-5671
DOI
10.1016/j.ejcon.2015.04.004
project
LCCC
language
English
LU publication?
yes
id
04839793-0644-4033-8398-813dd8dcd871 (old id 5424438)
date added to LUP
2015-06-01 09:15:53
date last changed
2017-11-12 03:07:50
@article{04839793-0644-4033-8398-813dd8dcd871,
  abstract     = {Classical control theory does not scale well for large systems such as power networks, traffic networks and chemical reaction networks. However, many such applications in science and engineering can be efficiently modeled using the concept of positive systems and the nonlinear counterpart monotone systems. It is therefore of great interest to see how such models can be used for control. This paper demonstrates how positive systems can be exploited for analysis and design of large-scale control systems. Methods for synthesis of distributed controllers are developed based on linear Lyapunov functions and storage functions instead of quadratic ones. The main results are extended to frequency domain input–output models using the notion of positively dominated system. Applications to transportation networks and vehicle formations are provided.},
  author       = {Rantzer, Anders},
  issn         = {1435-5671},
  keyword      = {Distributed control,positive systems},
  language     = {eng},
  pages        = {72--80},
  publisher    = {Lavoisier},
  series       = {European Journal of Control},
  title        = {Scalable Control of Positive Systems},
  url          = {http://dx.doi.org/10.1016/j.ejcon.2015.04.004},
  volume       = {24},
  year         = {2015},
}