Stability of Boundary Feedback Control Based on Weighted Lyapunov Function in Networks of Open Channels  

作　　者：CEN Li-Hui XI Yu-Geng 

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

出　　处：《自动化学报》2009年第1期97-102,共6页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of China （60474002, 60674041） and National High Technology Research and Development Program of China （863 Program） （2006AA04Z173）

摘　　要：Lyapunov 功能在串联为二条开的隧道的盒子基于熵的加权的和被构造，它被 Saint-Venant 方程描述。边界反馈控制器的一个班被介绍借助于 Lyapunov 设计途径在平衡点的一位邻居保证本地靠近环的 asymptotic 稳定性。A Lyapunov function is constructed based on the weighted sum of entropies for the case of two open channels in cascade, which is described by the Saint-Venant equations. A class of boundary feedback controllers is presented to guarantee the local closed-loop asymptotic stability in a neighborhood of the equilibrium point by means of the Lyapunov design approach.

关 键 词：Saint-Venant方程 熵 LYAPUNOV函数 渐近稳定度 边界反馈控制 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]