Lurie系统基于积分滑模控制的无源滞后同步

Passive Lag Synchronization of Lurie Systems via Integral Sliding Mode Control

以滑模控制理论为基础,研究两个相同的Lurie系统间的无源滞后同步问题,提出了一种新的积分滑模控制并设计了相应的滑模曲面和具有无源性的滑模控制律,确保误差系统能在有限时间内进入特定的滑模曲面并最终到达平衡点.最后通过两个数值仿真实例验证了该方法的有效性.

Based on the principle of sliding mode control, the problem of the passive lag synchronization for two identical Lurie systems wasexplored. A novel integral sliding-mode control was proposed and the corresponding slid- ing surface and the passive control law were designed, which could make the error system reach the specified sliding surface in finite time and eventually arrive at the equilibrium point. Finally, two numerical examples wereutilized to illustrate its effectiveness.