基于辅助信息补偿和控制信号编码的重放攻击检测方法  

Replay Attack Detection Method Based on Auxiliary Information Compensation and Control Signal Coding

作　　者：张正道[1,2] 杨佳佳 谢林柏 ZHANG Zheng-Dao;YANG Jia-Jia;XIE Lin-Bo(College of Internet of Things Engineering,Jiangnan University,Wuxi 214122;Engineering Research Center of Internet of Things Applied Technology,Ministry of Education,Jiangnan University,Wuxi 214122)

机构地区：[1]江南大学物联网工程学院,无锡214122 [2]江南大学教育部物联网应用技术中心,无锡214122

出　　处：《自动化学报》2023年第7期1508-1518,共11页Acta Automatica Sinica

基　　金：国家重点研发计划课题(2018YFB1701903)资助。

摘　　要：向最优控制信号中加入编码信号是实现信息物理系统(Cyber physical system,CPS)重放攻击检测的有效方法,但会造成系统控制性能的损失.如何在保证重放攻击检测率条件下降低系统的控制性能损失是一个值得研究的问题.为此,提出一种基于辅助信息补偿的控制信号编码检测方法,通过向测量值添加辅助信号补偿控制编码信号对最优状态估计的影响.首先,证明了此方案下重放攻击的可检测性,导出检测率的上界与检测函数阈值间的定量关系.其次,证明了加入辅助信号后系统控制信号与未添加编码信息时相同,之前时刻的控制编码信号不会造成累积效应.因此,系统当前时刻的控制性能损失仅与当前时刻编码信号的大小有关.最后,将编码信号的协方差矩阵、检测率和检测阈值之间的关系表示成一个最优化问题,给出了编码信号方差的计算方法.仿真结果表明,本文方法能有效地检测重放攻击的发生,且系统控制性能的损失较小.Adding coding signal to the optimal control signal is an effective method to detect the replay attack in cyber physical systems(CPSs),which always causes loss of system control performance.How to reduce the sacrifice of system control performance and guarantee the detection rate of replay attack is a valuable problem to be studied.In this paper,a control signal coding detection scheme has been proposed based on auxiliary information compensation.By adding auxiliary signal to the system measurements,the influence of the coding signal on the optimal state estimation has been compensated.Firstly,the detectability of replay attack under the proposed scheme is proved,and the quantitative relationship between the upper bound of the detection rate and the threshold of the detection function is derived.Secondly,it is demonstrated that the control signal generated by the controller after adding auxiliary signal is the same as the control signal without coding signal.Therefore,the historical coding signal does not effect the system cumulatively.The loss of system control performance at current moment is only related to the size of the current coding signal.Finally,the relationship between the covariance matrix of the coding signal,the detection rate and the detection threshold is expressed as an optimization problem,through which the variance of the coding signal can be derived.Simulation results show that the attack can be effectively detected throught the proposed scheme,while the loss in the corresponding system control performance is relatively smaller.

关 键 词：信息物理系统 重放攻击 攻击检测 控制信号编码 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]