Lyapunov-based Boundary Feedback Control in Multi-reach Canals

摘要：

This paper presents a Lyapunov-based approach to design the boundary feedback control for an open-channel network composed by 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 entropy Lyapunov function asymptotic stability boundary feedback control.

作者: Li-hui Cen Yu-geng Xi

作者单位: Department of Automation,Shanghai Jiao Tong University,Shanghai,China

会议类型: 国际会议

会议名称: International Conference on Modelling,Identification and Control(模拟、鉴定、控制国际会议)

会议地点: 上海

会议语种:英文

在线出版日期: 2008-06-29（万方平台首次上网日期，不代表论文的发表时间）