Boundary control of linearized Saint-Venant equations oscillating modes

被引：41

作者：

Litrico, X

Fromion, V

机构：

[1] Cemagref, UMR GEAU, F-34196 Montpellier 5, France

[2] INRA, MIG, F-78350 Jouy En Josas, France

来源：

AUTOMATICA | 2006年 / 42卷 / 06期

关键词：

open-channel system; Saint-Venant model; frequency response; root locus; Riemann invariants; impedance matching; water management;

D O I：

10.1016/j.automatica.2006.02.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper investigates the control of oscillating modes occurring in open-channels, due to the reflection of propagating waves on the boundaries. These modes are well represented by linearized Saint-Venant equations, a set of hyperbolic partial differential equations which describe the dynamics of one-dimensional open-channel flow around a given stationary regime. We use a distributed transfer function approach to compute a dynamic boundary controller that cancels the oscillating modes over all the canal pool. This result is recovered with a Riemann invariants approach in the case of a frictionless horizontal canal pool. The effect of a proportional boundary control on the poles of the transfer matrix is then characterized by a root locus, and we derive an asymptotic result for high frequencies closed-loop poles. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：967 / 972

页数：6

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