We propose a controller that robustly stabilizes an interconnection of Ordinary Differential Equations with two hyperbolic linear Partial Differential Equations. The proposed design guarantees closed-loop asymptotic stability as well as robustness to small delays. The result is obtained through a backstepping approach. A boundary observer is also derived, yielding an output feedback controller with several calibration parameters.

中文翻译：

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ODE-PDE-ODE互连的鲁棒输出反馈稳定

我们提出了一种控制器，该控制器可稳定地稳定具有两个双曲线线性偏微分方程的常微分方程的互连。所提出的设计保证了闭环渐近稳定性以及对小延迟的鲁棒性。结果是通过反推方法获得的。还导出了边界观察器，从而产生具有多个校准参数的输出反馈控制器。