This article considers the problem of designing distributed event-triggered states and unknown disturbances observers for a class of nonlinear interconnected systems where the local state vectors are affected by unknown delays and the nonlinear function satisfying the Lipschitz condition. Distributed observers are designed based on the local input vector and both the local and remote output vectors. Different from previously distributed observers for interconnected systems where the local and remote output vectors are updated continuously, the one in this article uses only information on the local and remote output vectors updating at triggering instants of proposed event-triggered mechanisms. This indicates that the proposed method in this article is better than the existing ones in saving communication resources while still keeping an acceptable estimation performance. Sufficient conditions for the existence of the proposed distributed observers are established and are formed in a convex optimization problem which can be easily solved by using the MATLAB LMI Control Toolbox. Finally, a numerical example is given to confirm the effectiveness and advantages of the proposed method.

中文翻译：

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时变时滞互联系统分布式事件触发状态和未知扰动观测器设计

本文考虑了一类非线性互连系统的分布式事件触发状态和未知扰动观测器的设计问题，其中局部状态向量受到未知延迟和满足 Lipschitz 条件的非线性函数的影响。分布式观测器是基于本地输入向量以及本地和远程输出向量设计的。与先前用于本地和远程输出向量连续更新的互连系统的分布式观察器不同，本文中的观察器仅使用有关在所提出的事件触发机制的触发时刻更新的本地和远程输出向量的信息。这表明本文提出的方法在节省通信资源的同时仍保持可接受的估计性能方面优于现有方法。建立了所提出的分布式观测器存在的充分条件，并将其形成为凸优化问题，可以使用 MATLAB LMI 控制工具箱轻松解决该问题。最后给出数值算例验证了该方法的有效性和优点。