Resilient Synchronization of Multi-Leader MASs Under Random Link Failure Constraints

This paper investigates the resilient synchronization problem of multi-agent systems (MASs) with multiple leaders under random link failure constraints (RLFCs). Firstly, in order to overcome the vulnerability on communication links of single-leader MASs, a model of MAS with multiple leaders under RLFCs is established. Secondly, to address the design problem of resilient control, a distributed leader state observer is introduced. Then, the distributed leader state observer with adaptive capability is designed to resolve the unpredictable states of the leaders under RLFCs. Thirdly, to obtain a reliable PI controller with high performance, stochastic stability criteria are derived via the algebraic Riccati equation and an appropriate Lyapunov-Krasovskii function (LKF). Finally, a simulation based on actual F-16 flight results is given to demonstrate the feasibility of the proposed control strategy.