Resilient and Safety Control of Uncertain Nonlinear Systems: Hybrid Governor Function

This paper investigates the resilient and safety control problem for a class of uncertain nonlinear systems subject to impulsive false data injection (FDI) attacks. Different from those in the literature, impulsive FDI attacks are launched at discrete-time instants and cause transient jumps in the system state, thus rendering a nonlinear impulsive system. To overcome the difficulty of performance analysis caused by state jumps, we construct a hybrid governor function and convert the system with full-state constraints into an unconstrained system. Then a resilient controller based on the hybrid governor function is proposed, and by further combining the average impulsive interval method, we provide a set of conditions to ensure the safety and the stability of the closed-loop system.