Stability of drinking water distribution network

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

doi:10.1109/ECC.2016.7810546

Stability of drinking water distribution network

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

Publikation: Kapitel i bog/rapport/konference-proceeding › Konferencebidrag i proceedings › 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 Rⁿ. 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 Rⁿ. We find a polynomial Lyapunov function for the system using SOSTOOLS supported by Putinar's Positivstellensatz.

Originalsprog	Engelsk
Titel	2016 European Control Conference, ECC 2016
Antal sider	6
Forlag	IEEE
Publikationsdato	6. jan. 2016
Sider	1764-1769
Artikelnummer	7810546
ISBN (Elektronisk)	9781509025916
DOI	https://doi.org/10.1109/ECC.2016.7810546
Status	Udgivet - 6. jan. 2016
Udgivet eksternt	Ja
Begivenhed	2016 European Control Conference, ECC 2016 - Aalborg, Danmark Varighed: 29. jun. 2016 → 1. jul. 2016

Konference

Konference	2016 European Control Conference, ECC 2016
Land/Område	Danmark
By	Aalborg
Periode	29/06/2016 → 01/07/2016

Dokumenter og links

10.1109/ECC.2016.7810546

Citationsformater

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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 PI control. The non-polynomial model is represented by numerous polynomial systems defined on sub-sets of Rn. 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 Rn. We find a polynomial Lyapunov function for the system using SOSTOOLS supported by Putinar's Positivstellensatz.",

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

year = "2016",

month = jan,

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doi = "10.1109/ECC.2016.7810546",

language = "English",

pages = "1764--1769",

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publisher = "IEEE",

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note = "2016 European Control Conference, ECC 2016 ; Conference date: 29-06-2016 Through 01-07-2016",

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TY - GEN

T1 - Stability of drinking water distribution network

AU - Leth, Tobias

AU - Kallesøe, Carsten Skovmose

AU - Sloth, Christoffer

AU - Wisniewski, Rafał

PY - 2016/1/6

Y1 - 2016/1/6

N2 - 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 Rn. 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 Rn. We find a polynomial Lyapunov function for the system using SOSTOOLS 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 PI control. The non-polynomial model is represented by numerous polynomial systems defined on sub-sets of Rn. 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 Rn. We find a polynomial Lyapunov function for the system using SOSTOOLS supported by Putinar's Positivstellensatz.

U2 - 10.1109/ECC.2016.7810546

DO - 10.1109/ECC.2016.7810546

M3 - Article in proceedings

AN - SCOPUS:85015019768

SP - 1764

EP - 1769

BT - 2016 European Control Conference, ECC 2016

PB - IEEE

T2 - 2016 European Control Conference, ECC 2016

Y2 - 29 June 2016 through 1 July 2016

ER -

Stability of drinking water distribution network

Abstract

Konference

Dokumenter og links

Fingeraftryk

Citationsformater