Resilient stepped transmission and control for nonlinear systems against DoS attacks

In this paper, we focus on developing a resilient stepped transmission scheme for nonlinear networked systems suffering from Denial-of-Service (DoS) attacks. Instead of employing static periodic sampling, the proposed acknowledgement-based adaptive sampler follows a resilient stepped algorithm to dynamically adjust the sampling period based on the absence or presence of DoS attacks. The dynamic sampling period is demonstrated to approach the boundary sampling interval to better adapt to the vulnerable environment, where the boundary sampling interval is the largest sampling period to ensure the boundedness of successful transmission interval in conventional periodic sampling scheme. Two impulsive observer-based control structures are presented to ensure the asymptotic stability of the equilibrium of systems, in which the latter one can better cope with the amplification of observer error in the presence of DoS. Numerical simulations are given finally to substantiate the validity of theoretical results.