Non-collocated feedback control of water waves in a tube with moving boundary described by the one-dimensional Saint-Venant equations is considered. Two control approaches are developed both relying on a measurement of the water level at the non-actuated boundary. Firstly, a flatness based approach for a partially linearized model of the system is introduced. Secondly, a non-linear collocated Lyapunov based feedback law relying on a non-linear collocated observer is considered. Both approaches are studied and compared in simulations and experimental studies.

中文翻译：

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带动边界管内水波的反馈控制

考虑了由一维圣维南方程描述的具有移动边界的管内水波的非配置反馈控制。开发了两种控制方法，都依赖于非驱动边界处的水位测量。首先，介绍了系统部分线性化模型的基于平坦度的方法。其次，考虑了依赖于非线性并置观测器的基于非线性并置李雅普诺夫的反馈律。在模拟和实验研究中对这两种方法进行了研究和比较。