在窃听者存在的环境下通过丢包链路进行远程状态估计
Remote State Estimation over Packet Dropping Links in the Presence of an Eavesdropper
AI总结：
研究在窃听者存在下通过丢包链路进行远程状态估计的问题，通过优化问题最小化估计误差协方差，同时保持窃听者误差协方差在一定水平以上，得出阈值行为结构结果。
摘要：
本文研究了在窃听者存在的情况下通过丢包链路进行远程状态估计的问题。传感器通过丢包链路将本地状态估计发送到远程估计器，同时窃听者可以以一定概率成功监听每个传感器传输。目标是确定传感器何时发送，以最小化远程估计器的估计误差协方差，同时保持窃听者误差协方差在一定水平以上。通过求解一个优化问题，最小化估计误差协方差和窃听者误差协方差的线性组合。推导了最优传输策略的结构结果，并显示其在估计误差协方差中表现出阈值行为。在无限时间范围内，证明对于不稳定的系统，可以保持估计误差协方差有界，而窃听者误差协方差变得无界。还考虑了另一种安全度量，限制向窃听者揭示的信息量，并推导了类似的最优传输策略结构结果。在无限时间范围内，对于任何保持估计误差协方差有界的传输策略，窃听者获得的信息量始终有一个正的下界。还扩展了我们的结果到测量传输。
英文摘要：
This paper studies remote state estimation in the presence of an eavesdropper. A sensor transmits local state estimates over a packet dropping link to a remote estimator, while an eavesdropper can successfully overhear each sensor transmission with a certain probability. The objective is to determine when the sensor should transmit, in order to minimize the estimation error covariance at the remote estimator, while trying to keep the eavesdropper error covariance above a certain level. This is done by solving an optimization problem that minimizes a linear combination of the expected estimation error covariance and the negative of the expected eavesdropper error covariance. Structural results on the optimal transmission policy are derived, and shown to exhibit thresholding behaviour in the estimation error covariances. In the infinite horizon situation, it is shown that with unstable systems one can keep the expected estimation error covariance bounded while the expected eavesdropper error covariance becomes unbounded. An alternative measure of security, constraining the amount of information revealed to the eavesdropper, is also considered, and similar structural results on the optimal transmission policy are derived. In the infinite horizon situation with unstable systems, it is now shown that for any transmission policy which keeps the expected estimation error covariance bounded, the expected amount of information revealed to the eavesdropper is always lower bounded away from zero. An extension of our results to the transmission of measurements is also presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
