不完全信息拒绝服务攻击下基于预测控制的信息物理系统稳定性分析

Stability Analysis of Cyber-Physical Systems Based on Predictive Control under Denial of Service Attacks with Incomplete Information

对在不完全策略信息下的信息物理系统(CPS)遭受拒绝服务(Do S)攻击进行研究,提出了带有预测补偿策略信息物理系统的稳定性条件.首先,结合实际情况及现有相关建模方法,对拒绝服务攻击通过攻击频率与持续时间两个物理参量进行新的建模分析.就实际网络中攻击者与入侵检测系统之间存在相互的未知策略信息,引入Nash均衡博弈的方法分析入侵检测系统与攻击者之间作用关系.研究了不完全策略信息下攻防博弈的Nash均衡问题,并与完全策略信息条件下进行均衡解进行比较.其次,考虑信息物理系统遭受拒绝服务攻击,通过切换系统的证明方法,给出了带有预测补偿策略信息物理系统(CPS)的稳定条件.最后,通过实际球杆系统例子予以仿真分析,证明了所提结论的正确性.

We studied the denial of service（ Do S） attacks on a cyber-physical system（ CPS） under incomplete strategy information and propose stability conditions of the CPS with prediction compensation strategy. Firstly,combining actual conditions with existing related modeling methods,we presented a new model of Do S attacks based on the attack frequency and the duration. Since mutual unknown strategy information exists for both attackers and intrusion detection systems in actual conditions,we exploited the Nash equilibrium game to determine the interactions between intrusion detection systems and the attackers. We approached the problem on Nash equilibrium of the attack and defense game under incomplete strategy information,and,then,we compared complete and incomplete information of the Nash equilibrium solution. Secondly,considering the CPSs under Do S attacks,we determined the stability conditions by applying a predictive compensation strategy with a switched system method. Finally,numerical simulation results showed the correctness of the proposed methods by a ball and beam system.