Resilient strategy design for cyber-physical system under DoS attack over a multi-channel framework

This paper is concerned with the design of resilient strategy for a class of cyber-physical system (CPS) under denial-of-service (DoS) attack. The DoS attack occurring in wireless network between sensor and remote estimation is considered. For the addressed CPS, a minimax control strategy is designed in the presence of DoS attack in delta domain under imperfect state measurements (IPSM). Then, a novel multi-channel transmission framework is constructed to reduce the probability of being attacked, where transmitter chooses a single channel to send data packet and meanwhile the DoS attacker decides a target channel to attack. Taking account of the control system performance, a two-player Markov stochastic game is built to model the interactive decision-making of both sides under energy budget constraints. Dynamic programming and value iteration methods are applied for the control strategy and power transmission strategy design, respectively. Numerical simulations are presented to illustrate the validity of the scheme.