Adaptive Fixed- Time DSC for High-Order Nonlinear Systems Against Deception Attacks

In this paper, the problem of adaptive fixed-time dynamic surface control is investigated for a class of high-order nonlinear systems against deception attacks. Unknown nonlinear terms in controlled system are handled by neural networks. And unknown control directions due to attacks are handled by the Nussbaum function. In addition, a novel adaptive fixed-time control scheme is designed by combination of the adding-one-power-integrator technique and dynamic surface control method. Based on the fixed-time stability theory, the proposed control scheme is still guaranteed to be bounded in fixed time, and the settling time is independent of the system's initial state, no matter what happens in the case of attacks. Finally, the validity of the presented control scheme is demonstrated by simulation results.