A new predefined-time sliding mode control scheme for synchronizing chaotic systems

In this paper, a new predefined-time sliding mode control scheme is proposed to achieve the predefined-time synchronization of complex multi-wing chaotic systems. Based on Lyapunov stability theory, the effectiveness of the scheme is proven. The numerical simulation results show that compared with the previous finite-time control, fixed-time control, and traditional predefined-time control schemes, this scheme has the advantage of a shorter synchronization time. In addition, the parameters of the sliding mode surface and the controller proposed for this scheme can be defined in advance, which is an advantage of the predefined-time control scheme.