Feed-Forward Control of Open Channel Flow Using Differential Flatness

被引:17
|
作者
Rabbani, Tarek S. [1 ]
Di Meglio, Florent [2 ]
Litrico, Xavier
Bayen, Alexandre M. [3 ]
机构
[1] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
[2] Ecole Mines Paris, F-75272 Paris 06, France
[3] Univ Calif Berkeley, Dept Civil & Environm Engn, Syst Engn Program, Berkeley, CA 94720 USA
基金
美国国家科学基金会;
关键词
Differential flatness; diffusive wave equation; open channel hydraulics; trajectory planning; water management;
D O I
10.1109/TCST.2009.2014640
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This brief derives a method for open-loop control of open channel flow, based on the Hayami model, a parabolic partial differential equation resulting from a simplification of the Saint-Venant equations. The open-loop control is represented as infinite series using differential flatness, for which convergence is assessed. A comparison is made with a similar problem available in the literature for thermal systems. Numerical simulations show the effectiveness of the approach by applying the open-loop controller to irrigation canals modeled by the full Saint-Venant equations.
引用
收藏
页码:213 / 221
页数:9
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