Finite-Time Synchronization of Fractional-order Chaotic Lur'e Systems With Actuator Fault

This paper addressed the problem of finite-time synchronization (FTS) of fractional-order chaotic Lur'e systems (FOCLSs) with actuator fault. FTS was first applied to the FOCLSs, which was taken into consideration for having a faster convergence rate and markedly reducing the cost of the control process. Meanwhile, the actuator fault was constructed as a time-varying function in the controller. Some synchronization criteria were acquired to achieve the FTS of the FOCLSs, which have been described as some inequalities. These criteria were based on the fractional-order calculus, the Lyapunov function, the finite-time stability. Additionally, the settling time was predicted and bounded. Finally, two numerical examples were employed to show the correctness of the theoretical result.