Fast finite-time secure control for nonlinear systems under dynamic event-triggered mechanism

This paper addresses the fast finite-time secure control problem for the nonlinear system in the presence of the deception attacks. Firstly, in order to suppress the deception attacks more rapidly, the secure controller is constructed in the sense of fast finite-time stability (FFTS), by which shorter convergence time and better system resilience can be achieved. Particularly, the adaptive compensation law is formulated in the secure controller design, which mitigates the damaging effect from the deception attacks (state parameterized attack and the uniformly bounded attack). Moreover, for the purpose of the network resource saving, a dynamic event-triggered mechanism (DETM) is established. The core innovation of the proposed DETM is that a fractional powered term is introduced in the internal variable generator. On the one hand, it renders the DETM suitable to the analysis of the FFTS; on the other hand, it enhances the dynamics of the internal variable. Furthermore, it is proved that the Zeno behavior will not happen and the fast finite-time stability of the closed-loop system can be guaranteed. Consequently, the experimental results demonstrate the effectiveness of the proposed method.