论文标题
关于PDE的强大调节：从抽象方法到PDE控制器
On Robust Regulation of PDEs: from Abstract Methods to PDE Controllers
论文作者
论文摘要
在本文中，我们研究了线性偏微分方程（PDE）模型的强大输出跟踪和干扰排斥。我们专注于演示如何在混凝土PDE系统的控制器设计中使用为“常规线性系统”开发的基于抽象的内部模型的控制器设计方法。我们表明，当针对PDE系统实施时，抽象控制设计方法以自然方式导致具有“ PDE零件”的控制器。此外，我们以一种利用抽象系统表示的最少知识的方式制定控制器构造，而仅基于原始PDE的自然属性。我们还讨论了控制器参数的计算和近似值，并使用了边界控制扩散方程的控制设计示例来说明结果。
In this paper we study robust output tracking and disturbance rejection of linear partial differential equation (PDE) models. We focus on demonstrating how the abstract internal model based controller design methods developed for "regular linear systems" can be utilised in controller design for concrete PDE systems. We show that when implemented for PDE systems, the abstract control design methods lead in a natural way to controllers with "PDE parts". Moreover, we formulate the controller construction in a way which utilises minimal knowledge of the abstract system representation and is instead solely based on natural properties of the original PDE. We also discuss computation and approximation of the controller parameters, and illustrate the results with an example on control design for a boundary controlled diffusion equation.
