Stability of Drinking Water Distribution Network

被引：0
|
作者：
Leth, Tobias [1 ]
Kallesoe, Carsten Skovmose [1 ,2 ]
Sloth, Christoffer [1 ]
Wisniewski, Rafal [1 ]
机构：
[1] Aalborg Univ, Sect Automat & Control, Dept Elect Engn, DK-9220 Aalborg, Denmark
[2] Grundfos, DK-8850 Bjerringbro, Denmark
来源：
2016 EUROPEAN CONTROL CONFERENCE (ECC) | 2016年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：1764 / 1769
页数：6
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