Optimal Stealthy Attack to Remote Estimator for Estimation Error Regulation

This paper proposes an attack strategy for remote estimators in cyber-physical systems. In contrast with the common approaches by maximizing the state estimation difference and estimation error covariance of a remote estimator, we consider the scenario where attackers expect to regulate the estimation error to the value arbitrarily defined by attackers, which not only enables attackers to release attacks of different intensities according to their intentions, but also reduces the possibility detected by the amplitude detector and the human monitor. By taking advantage of the dynamic programming, an explicit expression of the optimal attack sequence is derived, and its convergence and feasibility are analyzed. Finally, simulation results are presented to validate the effectiveness of the proposed strategy.