This article is devoted to simultaneously solve the problems of fault estimation and synchronization for a class of delayed coupling complex dynamical networks. First, an intermediate estimator is established for each node with the aid of the relative information from the neighboring nodes. Second, a distributed memory state feedback controller is designed with respect to the estimated state values and fault signals. Third, some error systems are formulated by introducing appropriate linear transformations. Then, a set of delay‐dependent criteria is obtained to ensure that the states of the resulting systems are uniformly bounded and subsequently, the explicit design method of the desired gain matrices is presented. At last, the feasibility of established theoretical results is validated by the support of two numerical examples in which one is an application example based on the aircraft model. Different from the existing fault estimation techniques, the proposed method does not require the observer matching condition and the upper bounds of the fault signals, which reduces the conservatism significantly.

中文翻译：

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时变耦合时滞复杂动态网络的故障估计与同步控制

本文致力于同时解决一类时滞耦合复杂动力学网络的故障估计和同步问题。首先，借助于来自相邻节点的相对信息，为每个节点建立中间估计器。其次，针对估计的状态值和故障信号设计分布式内存状态反馈控制器。第三，通过引入适当的线性变换来表述一些误差系统。然后，获得一组依赖于延迟的准则，以确保所得系统的状态均匀受限制，随后，提出了所需增益矩阵的显式设计方法。终于，通过两个数值例子的支持，验证了已建立的理论结果的可行性，其中一个是基于飞机模型的应用例子。与现有的故障估计技术不同，该方法不需要观测者匹配条件和故障信号的上限，从而大大降低了保守性。