Boundary feedback stabilization of hydraulic jumps

被引：7
|
作者：
Bastin, Georges [1 ]
Coron, Jean-Michel [2 ]
Hayat, Amaury [2 ]
Shang, Peipei [3 ]
机构：
[1] Univ Louvain, Dept Math Engn, ICTEAM, Louvain La Neuve, Belgium
[2] Sorbonne Univ, Univ Paris Diderot SPC, Lab Jacques Louis Lions, Equipe Cage,CNRS,INRIA, Paris, France
[3] Tongji Univ, Sch Math Sci, Shanghai, Peoples R China
来源：
IFAC JOURNAL OF SYSTEMS AND CONTROL | 2019年 / 7卷
基金：
中国国家自然科学基金;
关键词：
Saint-Venant equations; Boundary feedback controls; Hydraulic jump;
D O I：
10.1016/j.ifacsc.2019.100026
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In an open channel, a hydraulic jump is an abrupt transition between a torrential (supercritical) flow and a fluvial (subcritical) flow. In this article hydraulic jumps are represented by discontinuous shock solutions of hyperbolic Saint-Venant equations. Using a Lyapunov approach, we prove that we can stabilize the state of the system in H-2-norm as well as the hydraulic jump location, with simple feedback boundary controls and an arbitrary decay rate, by appropriately choosing the gains of the feedback boundary controls. (c) 2019 Elsevier Ltd. All rights reserved.
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