开放运河的一般边界反馈控制设计

Proceedings of 2011 International Conference on Modelling, Identification and Control Pub Date : 2011-06-26 DOI:10.1109/ICMIC.2011.5973742

Li-hui Cen, Yu-geng Xi, Dewci Li

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引用次数: 2

摘要

本文研究了用非线性Saint-Venant方程模拟的任意截面明渠中水流的调节问题。利用黎曼不变量建立了Saint-Venant初边值问题的特征形式。为了建立任意断面运河的边界控制规律，提出了一种通用的边界控制设计方法。给出了满足稳定性条件的最简单边界条件。根据这些边界条件，推导了一套具有任意断面和各种控制闸门的运河的边界反馈控制。最后，对具有几种典型断面类型的运河进行了研究。

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A general boundary feedback control design for an open canal

This paper deals with the regulation of water flow in an open channel with arbitrary cross sections modeled by the nonlinear Saint-Venant equations. The characteristic form of the Saint-Venant initial-boundary value problem is established in terms of Riemann invariants. In order to develop the boundary control laws for a canal with arbitrary cross sections, a general boundary control design approach is proposed. The simplest boundary conditions are presented to satisfy the stability conditions. According to these boundary conditions, a set of boundary feedback controls is deduced for a canal with arbitrary cross sections and with various control gates. Finally, a canal with several typical types of cross sections is studied.

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Proceedings of 2011 International Conference on Modelling, Identification and Control

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