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Proceedings of 2010 Cross-Strait Conference on Information Science and Technology (CSCIST 2010 E-BOOK)

Qinhuangdao,China,7.9-7.13，2010

ISBN: 978-1-935068-15-0 Scientific Research Publishing, USA

E-Book 840pp Pub. Date: July 2010

Category: Computer Science & Communications

Price: $120

Title: Stabilizing Boundary Feedback Control in Networks of Multi-reach Canals
Source: Proceedings of 2010 Cross-Strait Conference on Information Science and Technology (CSCIST 2010 E-BOOK) (pp 16-20)
Author(s): Lihui Cen, Department of Control Engineering, Central South University, Changsha
Xiaofang Chen, Department of Control Engineering, Central South University, Changsha
Yigang Cen, Institute of Information Science, Beijing Jiao Tong University, Beijing
Abstract: This paper presents the design of stabilizing boundary feedback control for an open-channel network composed by multi reaches based on a Lyapunov approach. The Lyapunov function and its time derivative are introduced. The sign property of the time derivative is equivalent to that of its second-order Taylor expansion. By use of the whole form of the second-order Taylor expansion without any simplifications, 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 feedbacks.
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