Stability of drinking water distribution network

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

Publikation: Kapitel i bog/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Abstrakt

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.

OriginalsprogEngelsk
Titel2016 European Control Conference, ECC 2016
Antal sider6
ForlagIEEE
Publikationsdato6. jan. 2016
Sider1764-1769
Artikelnummer7810546
ISBN (Elektronisk)9781509025916
DOI
StatusUdgivet - 6. jan. 2016
Udgivet eksterntJa
Begivenhed2016 European Control Conference, ECC 2016 - Aalborg, Danmark
Varighed: 29. jun. 20161. jul. 2016

Konference

Konference2016 European Control Conference, ECC 2016
Land/OmrådeDanmark
ByAalborg
Periode29/06/201601/07/2016

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