State feedback stabilization of cyber-physical system under DoS jamming attacks

Industrial control systems based on the network have developed rapidly as an important application of the cyber-physical systems (CPSs). However, the malicious cyber attacks on the network of the industrial control system have aroused widespread concern about the security of CPSs in recent years. Denial-of-service (DoS) attack, which aims to jam the communication between system components, has been widely studied since this attack pattern is the most accomplishable. In this paper, an energy-constrained periodic DoS jamming attacker model is proposed to increase the probability of stochastic packet dropouts. We consider a class of CPSs with inherent stochastic packet dropouts under DoS jamming attack on the wireless channel between a sensor and a controller. A sufficient condition for the existence of the state feedback controller which guarantees the stochastic stability of the CPS is established based on stochastic Lyapunov function and linear matrix inequality approach. The design of the controller can be solved by the cone complementarity linearization algorithm. Finally, two numerical simulations illustrate the effectiveness of the proposed controller. © 2019, Editorial Office of Control and Decision. All right reserved.