This paper considers output feedback stabilization of linear systems with both distributed infinite input and output delays. We first propose a PDE-based observer to deal with distributed infinite output delays. The main idea is to transform infinite-delayed output into a transport PDE with a semi-infinite domain. It is proved that the resulted error systems are exponentially stable and thus the observer is effective. Furthermore, relying on the PDE-based observer, a predictor-based output feedback stabilization controller is provided. This work removes a restrictive condition on eigenvalues of open-loop system in the previous work, which is a distinctive advantage of this work. A simulation example is given to illustrate the effectiveness of our proposed observer and controller.

中文翻译：

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具有分布式无限输入和输出延迟的线性系统的基于偏微分方程的观测和基于预测器的控制


本文考虑具有分布式无限输入和输出延迟的线性系统的输出反馈稳定性。我们首先提出一个基于偏微分方程的观察器来处理分布式无限输出延迟。主要思想是将无限延迟输出转换为具有半无限域的传输偏微分方程。证明了所得到的误差系统是指数稳定的，因而观测器是有效的。此外，依靠基于偏微分方程的观测器，提供了基于预测器的输出反馈稳定控制器。本工作取消了前人工作中对开环系统特征值的限制条件，这是本工作的显着优点。给出了一个仿真示例来说明我们提出的观察器和控制器的有效性。