Optimal Denial-of-Service attack scheduling against linear quadratic Gaussian control

Recently a flood of literature concerned on the security issues of wireless networked control system. However, it is still lack of investigation on how the attacker should optimize its attack schedule in order to maximize the effect on the system performance due to the insufficiency of energy at the attacker side. This paper fills this gap from the aspect of control system performance. Especially, this paper investigates the optimal jamming attack which maximizes the linear quadratic Gaussian control cost function under energy constraint. After analyzing the properties of the cost function under an arbitrary attack schedule, we derive the optimal jamming attack schedule and the corresponding cost function. System stability under this optimal attack schedule is also considered. Different examples are provided to demonstrate the effectiveness of the proposed optimal jamming schedule.