Stability of Drinking Water Distribution Network

Tobias Leth; Carsten Skovmose Kallesøe; Christoffer Sloth; Rafal Wisniewski

doi:10.1109/ECC.2016.7810546

Stability of Drinking Water Distribution Network

Tobias Leth, Carsten Skovmose Kallesøe, Christoffer Sloth, Rafal Wisniewski

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

Abstract

We strive to prove stability of a hydraulic network,
where the pressure at the end user is controlled with PI
control. The non-polynomial model is represented by numerous
polynomial systems defined on sub-sets of R^n. The sub-sets are
defined by compact basic semi-algebraic sets. The stability of
the PI-controller is proved by designing a Lyapunov function
which fulfils different criteria in different sub-sets of R^n. We
find a polynomial Lyapunov function for the system using
SOSTOOLS supported by Putinar’s Positivstellensatz.

Originalsprog	Engelsk
Titel	Control Conference (ECC), 2016 European
Antal sider	6
Forlag	IEEE
Publikationsdato	29 jun. 2016
Sider	1764-1769
ISBN (Elektronisk)	978-1-5090-2591-6
DOI	https://doi.org/10.1109/ECC.2016.7810546
Status	Udgivet - 29 jun. 2016
Begivenhed	European Control Conference 2016 - Aalborg, Danmark Varighed: 28 jun. 2016 → 1 jul. 2016

Konference

Konference	European Control Conference 2016
Land/Område	Danmark
By	Aalborg
Periode	28/06/2016 → 01/07/2016

Adgang til dokumentet

10.1109/ECC.2016.7810546

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Projekter: Projekt › Forskning

Citationsformater

@inproceedings{b0406e82571b4408b11d447e7eda64b8,

title = "Stability of Drinking Water Distribution Network",

abstract = "We strive to prove stability of a hydraulic network,where the pressure at the end user is controlled with PIcontrol. The non-polynomial model is represented by numerouspolynomial systems defined on sub-sets of R^n. The sub-sets aredefined by compact basic semi-algebraic sets. The stability ofthe PI-controller is proved by designing a Lyapunov functionwhich fulfils different criteria in different sub-sets of R^n. Wefind a polynomial Lyapunov function for the system usingSOSTOOLS supported by Putinar{\textquoteright}s Positivstellensatz.",

author = "Tobias Leth and Kalles{\o}e, {Carsten Skovmose} and Christoffer Sloth and Rafal Wisniewski",

year = "2016",

month = jun,

day = "29",

doi = "10.1109/ECC.2016.7810546",

language = "English",

pages = "1764--1769",

booktitle = "Control Conference (ECC), 2016 European",

publisher = "IEEE",

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T1 - Stability of Drinking Water Distribution Network

AU - Leth, Tobias

AU - Kallesøe, Carsten Skovmose

AU - Sloth, Christoffer

AU - Wisniewski, Rafal

PY - 2016/6/29

Y1 - 2016/6/29

N2 - We strive to prove stability of a hydraulic network,where the pressure at the end user is controlled with PIcontrol. The non-polynomial model is represented by numerouspolynomial systems defined on sub-sets of R^n. The sub-sets aredefined by compact basic semi-algebraic sets. The stability ofthe PI-controller is proved by designing a Lyapunov functionwhich fulfils different criteria in different sub-sets of R^n. Wefind a polynomial Lyapunov function for the system usingSOSTOOLS supported by Putinar’s Positivstellensatz.

AB - We strive to prove stability of a hydraulic network,where the pressure at the end user is controlled with PIcontrol. The non-polynomial model is represented by numerouspolynomial systems defined on sub-sets of R^n. The sub-sets aredefined by compact basic semi-algebraic sets. The stability ofthe PI-controller is proved by designing a Lyapunov functionwhich fulfils different criteria in different sub-sets of R^n. Wefind a polynomial Lyapunov function for the system usingSOSTOOLS supported by Putinar’s Positivstellensatz.

U2 - 10.1109/ECC.2016.7810546

DO - 10.1109/ECC.2016.7810546

M3 - Article in proceeding

SP - 1764

EP - 1769

BT - Control Conference (ECC), 2016 European

PB - IEEE

T2 - European Control Conference 2016

Y2 - 28 June 2016 through 1 July 2016

ER -

Stability of Drinking Water Distribution Network

Abstract

Konference

Adgang til dokumentet

AUB Link

Fingeraftryk

Projekter

CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation

Citationsformater