中文摘要：

研究了带有外部干扰变量和不确定项的二阶混沌系统的投影滞后同步问题。基于Lyapunov稳定性理论及指数型快速终端滑模策略的有限时间快速收敛性，提出一种新的滑模变结构控制，并设计相应的滑模曲面和控制律。所设计的控制器使误差系统状态变量能以较快的收敛速度在有限时间内进入指数终端滑模曲面并最终到达平衡点。数值仿真验证了该控制方法的有效性。

英文摘要：

The problem of the projective lag synchronization for second-order chaotic systems with external distur-bances and uncertainty was discussed. Based on the Lyapunov stability theory and the finite-time fast convergence of exponential fast terminal sliding mode control strategy, a novel sliding mode variable structure control was proposed and the corresponding sliding surface and control law were designed. The designed controller can make the sate vari-ables of the error system reach the exponential sliding surface with a fast convergence rate in finite time and eventually arrive at the equilibrium point. A numerical simulation was performed to verify the effectiveness of this control method.