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Positive systems analysis via integral linear constraints

Khong, Sei Zhen LU ; Briat, Corentin and Rantzer, Anders LU (2016) 54th IEEE Conference on Decision and Control, CDC 2015 In Proceedings of the IEEE Conference on Decision and Control 2016-February. p.6373-6378
Abstract

Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.

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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
closed-loop positivity, integral linear constraints, positive systems, robust stability
in
Proceedings of the IEEE Conference on Decision and Control
volume
2016-February
pages
6 pages
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
54th IEEE Conference on Decision and Control, CDC 2015
external identifiers
  • Scopus:84962030102
ISBN
9781479978861
DOI
10.1109/CDC.2015.7403223
language
English
LU publication?
yes
id
e2076b1c-28cc-4635-ae72-6b8eb1f9f633
date added to LUP
2016-07-14 14:40:48
date last changed
2016-10-11 14:09:38
@misc{e2076b1c-28cc-4635-ae72-6b8eb1f9f633,
  abstract     = {<p>Closed-loop positivity of feedback interconnections of positive monotone nonlinear systems is investigated. It is shown that an instantaneous gain condition on the open-loop systems which implies feedback well-posedness also guarantees feedback positivity. Furthermore, the notion of integral linear constraints (ILC) is utilised as a tool to characterise uncertainty in positive feedback systems. Robustness analysis of positive linear time-varying and nonlinear feedback systems is studied using ILC, paralleling the well-known results based on integral quadratic constraints.</p>},
  author       = {Khong, Sei Zhen and Briat, Corentin and Rantzer, Anders},
  isbn         = {9781479978861},
  keyword      = {closed-loop positivity,integral linear constraints,positive systems,robust stability},
  language     = {eng},
  month        = {02},
  pages        = {6373--6378},
  publisher    = {ARRAY(0xaa0db68)},
  series       = {Proceedings of the IEEE Conference on Decision and Control},
  title        = {Positive systems analysis via integral linear constraints},
  url          = {http://dx.doi.org/10.1109/CDC.2015.7403223},
  volume       = {2016-February},
  year         = {2016},
}