Lyapunov-based boundary feedback control in multi-reach canals  

作　　者：CEN LiHui XI YuGeng 

机构地区：[1]Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, China

出　　处：《Science in China(Series F)》2009年第7期1157-1164,共8页中国科学（F辑英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant Nos. 60504026, 60674041);and the National High-Tech Research &Development Program of China (Grant No. 2006AA04Z173)

摘　　要：This paper presents a Lyapunov-based approach to design the boundary feedback control for an open-channel network composed of a cascade of multi-reach canals, each described by a pair of Saint-Venant equations. The weighted sum of entropies of the multi-reaches is adopted to construct the Lyapunov function. The time derivative of the Lyapunov function is expressed by the water depth variations at the gate boundaries, based on which a class of boundary feedback controllers is presented to guarantee the local asymptotic closed-loop stability. The advantage of this approach is that only the water level depths at the gate boundaries are measured as the feedback.This paper presents a Lyapunov-based approach to design the boundary feedback control for an open-channel network composed of a cascade of multi-reach canals, each described by a pair of Saint-Venant equations. The weighted sum of entropies of the multi-reaches is adopted to construct the Lyapunov function. The time derivative of the Lyapunov function is expressed by the water depth variations at the gate boundaries, based on which a class of boundary feedback controllers is presented to guarantee the local asymptotic closed-loop stability. The advantage of this approach is that only the water level depths at the gate boundaries are measured as the feedback.

关 键 词：Saint-Venant equations multi-reach canal entropy Lyapunov function asymptotic stability boundary feedback control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]