Allocation of Eavesdropping Attacks for Multi-System Remote State Estimation

In recent years, the problem of cyber-physical systems' remote state estimations under eavesdropping attacks have been a source of concern. Aiming at the existence of eavesdroppers in multi-system CPSs, the optimal attack energy allocation problem based on a SINR (signal-to-noise ratio) remote state estimation is studied. Assume that there are sensors, and these sensors use a shared wireless communication channel to send their state measurements to the remote estimator. Due to the limited power, eavesdroppers can only attack channels out of channels at most. Our goal is to use the Markov decision processes (MDP) method to maximize the eavesdropper's state estimation error, so as to determine the eavesdropper's optimal attack allocation. We propose a backward induction algorithm which uses MDP to obtain the optimal attack energy allocation strategy. Compared with the traditional induction algorithm, this algorithm has lower computational cost. Finally, the numerical simulation results verify the correctness of the theoretical analysis.