Predefined time fuzzy adaptive tracking control for nonlinear cyber physical systems with unmeasurable states and FDI attacks

In this paper, the predefined time fuzzy adaptive output feedback tracking control is considered for nonlinear cyber physical systems (CPSs) with unmeasurable states and false data injection (FDI) attacks. First, fuzzy logic systems (FLSs) are used to approximate the unknown nonlinear functions. Then, by estimating the unknown attack signal and designing adaptive laws of attack signal, a new fuzzy state observer is proposed to observe the unmeasurable states even under FDI attacks. By utilizing the predefined time filter to solve the singularity problem, an observer-based predefined time adaptive fuzzy secured control scheme is developed, where dynamic surface control (DSC) technique is used to solve the computational complexity problems. The proposed control method can ensure that the closed-loop system is semi-globally practical predefined time stable (SGPPTS), and the system output can track the reference signal well even under FDI attacks in predefined time. Finally, simulation results are provided to verify the effectiveness of control method.