Security control of integral sliding modes for multi-agent systems under false data injection attacks

This paper aims to design a discrete integral sliding mode control (SMC) protocol, which is to address the consistency problem for the discrete multi-agent systems (MASs) with uncertain parameters under random false data injection (FDI) attacks. Firstly, an integral sliding mode surface is used to obtain the multi-agent error system and sufficient conditions to make it asymptotically stable. Secondly, the integral SMC law is proposed according to the arrival conditions of the SMC. The protocol makes the state trajectories of the system converge faster and fluctuate less, effectively weakening the FDI attacks and the uncertain parameter influence on the system. Finally, the effectiveness of the provided control mechanism is examined using numerical and practical application simulations.