Optimal strictly stealthy attacks in cyber-physical systems with multiple channels under the energy constraint

Abstract

This work considers an innovation-based attack policy in cyber-physical systems with multiple channels. The linear deception attack policy only allows the partial channels to be compromised at each step due to the energy constraint in multiple channels. Compared to the existing results with the single channel, the attack matrices and the positions are time-varying in this work. For the multi-channel systems under the energy constraint, the attack policy is designed to determine the optimal attack locations to degrade the estimation performance of the system to the most extent. Then, it is proved that achieving the optimal attack policy is equivalent to solving a limited optimisation problem and a 0–1 programming problem, respectively. Furthermore, simulated examples are presented to illustrate the developed results.