This paper is concerned with the distributed secure estimation problem for a cyber-physical system (CPS) with fading measurements and false data injection (FDI) attacks, where the fading probability of measurements is assumed to be individual for each sensor, and the FDI attacks occur at the physical system layer to intensively modify the system's state. For improving security of the system, an attack detection mechanism is proposed based on an FDI attack observer constructed by minimising the upper bound of observation error covariance. Then a complete distributed state estimation algorithm is given to provide locally reliable estimation. A sufficient condition is provided to guarantee boundedness of the estimation error covariance. Finally, the effectiveness of the proposed method is illustrated by numerical simulation and practical example simulation.

中文翻译：

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具有衰落测量和虚假数据注入攻击的网络物理系统的分布式安全估计

本文涉及具有衰落测量和虚假数据注入 (FDI) 攻击的网络物理系统 (CPS) 的分布式安全估计问题，其中假设每个传感器的测量衰落概率是单独的，并且 FDI 攻击发生在物理系统层以集中修改系统状态。为了提高系统的安全性，提出了一种基于最小化观测误差协方差上限构造的FDI攻击观测器的攻击检测机制。然后给出一个完整的分布式状态估计算法来提供局部可靠的估计。提供了保证估计误差协方差有界的充分条件。最后，