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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.
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.
| Original language | English |
|---|---|
| Title of host publication | Control Conference (ECC), 2016 European |
| Number of pages | 6 |
| Publisher | IEEE |
| Publication date | 29 Jun 2016 |
| Pages | 1764-1769 |
| ISBN (Electronic) | 978-1-5090-2591-6 |
| DOIs | |
| Publication status | Published - 29 Jun 2016 |
| Event | European Control Conference 2016 - Aalborg, Denmark Duration: 28 Jun 2016 → 1 Jul 2016 |
Conference
| Conference | European Control Conference 2016 |
|---|---|
| Country/Territory | Denmark |
| City | Aalborg |
| Period | 28/06/2016 → 01/07/2016 |
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Dive into the research topics of 'Stability of Drinking Water Distribution Network'. Together they form a unique fingerprint.Projects
- 1 Finished
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CodeMe: CodeMe - Computer Aided Design Methods for Industrial Automation
Wisniewski, R. & Sloth, C.
01/08/2014 → 31/10/2018
Project: Research