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Modeling for control design of a multi-reach water canal

机译:多程水渠控制设计建模

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This article addresses the problem of obtaining reduced complexity models of multi-reach water delivery canals that are suitable for robust and linear parameter varying (LPV) control design. In the first stage, by applying a method known from the literature, a finite dimensional rational transfer function of a priori defined order is obtained for each canal reach by linearizing the Saint-Venant equations. Then, by using block diagrams algebra, these different models are combined with linearized gate models in order to obtain the overall canal model. In what concerns the control design objectives, this approach has the advantages of providing a model with prescribed order and to quantify the high frequency uncertainty due to model approximation. A case study with a 3-reach canal is presented, and the resulting model is compared with experimental data.
机译:本文解决了获得适用于鲁棒性和线性参数变化(LPV)控制设计的多程输水渠降低复杂度模型的问题。在第一阶段,通过应用文献中已知的方法,通过使Saint-Venant方程线性化,可以为每个运河段获得先验定义顺序的有限维有理传递函数。然后,通过使用框图代数,将这些不同的模型与线性化的门模型组合在一起,以获得整体运河模型。在涉及控制设计目标的方面,这种方法的优点是可以提供具有规定顺序的模型,并可以量化由于模型逼近而导致的高频不确定性。提出了一个具有3个航道的案例研究,并将所得模型与实验数据进行了比较。

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