Optimal stealthy switching location attacks against remote estimation in cyber-physical systems

Abstract

This paper studies the design of the optimal stealthy switching location attacks in cyber-physical systems with multi-channels. By introducing the Kullback–Leibler divergence to characterize the stealthiness, an attack strategy with the energy constraint is proposed, which is only able to modify a part of the channels at each time step. Under the proposed attacks, the terminal estimation error is analyzed by utilizing the statistical characteristics of the innovations. And then, different from the DoS attack scheduling problems in the related works, the optimal attack strategy is derived by solving a constrained optimization problem and a 0–1 programming problem, which maximizes the remote estimation error and keeps deceptive simultaneously. Finally, the results are illustrated via the simulation examples.