We study the robust output regulation of linear boundary control systems by constructing extended systems. The extended systems are established based on solving static differential equations under two new conditions. We first consider the abstract setting and present finite-dimensional reduced order controllers. The controller design is then used for particular PDE models: high-dimensional parabolic equations and beam equations with Kelvin-Voigt damping. Numerical examples will be presented using Finite Element Method.

中文翻译：

---

用于边界控制系统鲁棒调节的有限尺寸控制器

我们通过构建扩展系统来研究线性边界控制系统的鲁棒输出调节。扩展系统是基于在两个新条件下求解静态微分方程而建立的。我们首先考虑抽象设置并提出有限维降阶控制器。然后将控制器设计用于特定的PDE模型：高维抛物线方程和具有Kelvin-Voigt阻尼的梁方程。数值示例将使用有限元方法给出。