Distributed robust filtering for cyber-physical systems under periodic denial-of-service jamming attacks

Abstract

This article focuses on a class of distributed security estimation for cyber-physical systems against denial-of-service attacks. First, an energy-constrained periodic denial-of-service jamming attack model and a Markov stochastic process-based switching topology model are developed. Then, Bernoulli random variables are applied to indicate whether measurement and estimation between nodes are successfully transmitted, where the data loss phenomenon is subject to denial-of-service attacks and inherent network properties. With the help of Lyapunov functions and linear matrix inequalities, sufficient conditions are established to guarantee that the error system satisfies exponentially mean-square stability and robust $l_2-l_{\infty }$ performance. Finally, two numerical simulation examples prove the effectiveness of the proposed distributed filtering method.