Sliding-Mode Predictive Cooperative Control for HOFAMASs Under Random Deception Attacks

This chapter focuses on a secure cooperative control problem of the HOFAMASs under random deception attacks in the forward and feedback channels, where the output and control signals can be tampered by injecting the false data when launching the attacks successfully. To address this problem, a sliding-mode HOFAS (SM-HOFAS) predictive control is proposed with the improvement of defense performance and the optimization of secure cooperative control performance. In the proposed work, a linear sliding-mode variable is introduced to enhance the robustness for the defense of random deception attacks, and an IHOFA prediction model of linear sliding-mode variable is constructed with the help of a kind of Diophantine Equation. Through the prediction model, the multistep ahead predictions of linear sliding mode are obtained to minimize an objective function in relation to secure cooperative control performance. Further, a sufficient condition on the simultaneous consensus and stability of the closed-loop HOFAMASs is derived by using the Lyapunov stability theory and a linear matrix inequality (LMI) method. Finally, the feasibility and availability of the proposed SM-HOFAS predictive control can be fully demonstrated by taking a formation control experiment for three ABSSs.