H∞ filtering for networked systems with hybrid-triggered communication mechanism and stochastic cyber attacks

This paper concentrates on investigating H∞ filtering for networked systems with hybrid-triggered communication mechanism and stochastic cyber attacks. Random variables satisfying Bernoulli distribution are introduced to describe the hybrid-triggered scheme and stochastic cyber attacks, respectively. Firstly, a mathematical H∞ filtering error model with hybrid-triggered communication mechanism is constructed under the stochastic cyber attacks. Secondly, by using Lyapunov stability theory and linear matrix inequality (LMI) techniques, the sufficient conditions which can guarantee the stability of augmented filtering error system are obtained and the parameters of the designed filter can be presented in an explicit form. Finally, numerical examples are given to demonstrate the feasibility of the designed filter.