Stability of Drinking Water Distribution Network

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

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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 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.
OriginalsprogEngelsk
TitelControl Conference (ECC), 2016 European
Antal sider6
ForlagIEEE
Publikationsdato29 jun. 2016
Sider1764-1769
ISBN (Elektronisk)978-1-5090-2591-6
DOI
StatusUdgivet - 29 jun. 2016
BegivenhedEuropean Control Conference 2016 - Aalborg, Danmark
Varighed: 28 jun. 20161 jul. 2016

Konference

KonferenceEuropean Control Conference 2016
Land/OmrådeDanmark
ByAalborg
Periode28/06/201601/07/2016

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