Consensus for Discrete-Time Multi-agent Systems with Time Delays and Parameter Uncertainties under False Data Injection Attacks

This paper aims to design a controller to handle the secure consensus problems for a class of discrete-time multi-agent systems with time delays and parameter uncertainties under false data injection attacks. To investigate the effects of false data injection attacks on multi-agent systems, the approach of linear matrix inequalities is utilized to design the control gain matrix. First, parameter uncertainties are left out to obtain the sufficient conditions guaranteeing consensus of multi-agent systems. Second, Schur complement is used to eliminate the influence of the unknown time-varying parameter uncertainties on the aforementioned conditions. Then, linear matrix inequalities are given to obtain the control gain matrix. Simulation results are presented to demonstrate the effectiveness of the proposed control approach.