Optimal Energy Allocation based DoS Attack over Remote State Estimation with the Relay

Abstract

In this paper, the security issue of remote state estimation in cyber-physical systems (CPSs) is investigated. As the performance of remote state estimation depends on system topology and communication environment over each channel. Motivated by this, we research the problem of interfering which channel to maximize the attack effect using the terminal estimation error to measure the system performance. For a given system topology, it is shown that it makes no difference whichever channel the jammer attacks, when communication environments over all the channels are the same. Furthermore, the problem of energy dispatch, exploring an optimal tradeoff between the number of attacks and the power launched at each attack time, is studied. When the power used at each attack keeps unchanged, for a normal matrix involved in the plant, an explicit expression is provided for the terminal estimation error, based on which this problem is simplified into an optimization problem with one variable. Finally, the simulation results validate the effectiveness of the proposed algorithm.