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Feedforward control of a channel flow based on a discretized port-Hamiltonian model

机译:基于离散端口-哈密顿模型的通道流前馈控制

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Systems of conservation laws can be modeled (including dissipation) in an elegant, physically insightful way within the port-Hamiltonian framework. A structure-preserving discretization renders the partial differential equations ordinary ones. In this paper, we show how the structure of the lumped-parameter state representation for two conservation laws on a one-dimensional spatial domain can be exploited to easily formulate different (inverse) models. Based thereon, a simple modular procedure for feedforward controller design is developed, using known results from the dynamic inversion of nonminimum-phase systems. The example of the shallow water equations serves to illustrate the design steps and to present simulation results.
机译:可以在汉密尔顿港框架内以一种优雅的,具有物理洞察力的方式对保护法律体系进行建模(包括消散)。保留结构的离散化使得偏微分方程成为常微分方程。在本文中,我们展示了如何利用一维空间域上两个守恒律的集总参数状态表示的结构来轻松地构建不同的(逆)模型。在此基础上,利用非最小相位系统的动态反演的已知结果,开发了一种用于前馈控制器设计的简单模块化程序。浅水方程式的示例用于说明设计步骤并提供模拟结果。

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