Positive systems analysis via integral linear constraints

Sei Zhen Khong; Corentin Briat; Anders Rantzer

doi:10.1109/CDC.2015.7403223

Positive systems analysis via integral linear constraints

Sei Zhen Khong, Corentin Briat, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	6373-6378
Number of pages	6
Volume	2016-February
ISBN (Print)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7403223
Publication status	Published - 2016 Feb 8
Event	54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 2015 Dec 15 → 2015 Dec 18 Conference number: 54

Conference

Conference	54th IEEE Conference on Decision and Control, CDC 2015
Abbreviated title	CDC 2015
Country/Territory	Japan
City	Osaka
Period	2015/12/15 → 2015/12/18

Subject classification (UKÄ)

Control Engineering

Free keywords

closed-loop positivity
integral linear constraints
positive systems
robust stability

Access to Document

10.1109/CDC.2015.7403223

Cite this

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title = "Positive systems analysis via integral linear constraints",

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.",

keywords = "closed-loop positivity, integral linear constraints, positive systems, robust stability",

author = "Khong, {Sei Zhen} and Corentin Briat and Anders Rantzer",

year = "2016",

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doi = "10.1109/CDC.2015.7403223",

language = "English",

isbn = "9781479978861",

volume = "2016-February",

pages = "6373--6378",

booktitle = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "54th IEEE Conference on Decision and Control, CDC 2015, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

}

Khong, SZ, Briat, C & Rantzer, A 2016, Positive systems analysis via integral linear constraints. in Proceedings of the IEEE Conference on Decision and Control. vol. 2016-February, 7403223, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 6373-6378, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 2015/12/15. https://doi.org/10.1109/CDC.2015.7403223

Positive systems analysis via integral linear constraints. / Khong, Sei Zhen; Briat, Corentin; Rantzer, Anders.
Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February IEEE - Institute of Electrical and Electronics Engineers Inc., 2016. p. 6373-6378 7403223.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Positive systems analysis via integral linear constraints

AU - Khong, Sei Zhen

AU - Briat, Corentin

AU - Rantzer, Anders

N1 - Conference code: 54

PY - 2016/2/8

Y1 - 2016/2/8

N2 - 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.

AB - 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.

KW - closed-loop positivity

KW - integral linear constraints

KW - positive systems

KW - robust stability

U2 - 10.1109/CDC.2015.7403223

DO - 10.1109/CDC.2015.7403223

M3 - Paper in conference proceeding

AN - SCOPUS:84962030102

SN - 9781479978861

VL - 2016-February

SP - 6373

EP - 6378

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 54th IEEE Conference on Decision and Control, CDC 2015

Y2 - 15 December 2015 through 18 December 2015

ER -

Positive systems analysis via integral linear constraints

Abstract

Conference

Subject classification (UKÄ)

Free keywords

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Cite this