Sliding mode control for the discrete cyber-physical systems under aperiodic denial-of-service attacks

In this work, the problems of stability analysis and sliding mode control (SMC) for discrete-time cyber-physical systems (CPSs) under denial-of-service (DoS) attacks are investigated. Firstly, the model of aperiodic DoS attacks is established by introducing the constraints on the upper bound of the attack interval and the lower bound of the non-attack interval. Next, by utilizing the SMC and switching strategies, the input-to-state stability (ISS) of the CPSs can be guaranteed in terms of the upper and lower bounds restrictions. Then, the sliding mode control law is designed for the considered CPSs. Finally, one example is given to illustrate the applicability of our proposed theoretical result.