一类线性不确定变时滞系统的滑模控制

摘要

The slide mode control problem is considered for a class of variable time-delay system. There exist many variable time-delay and uncertainties. Using the Lyapunov method and the Shut lemma, the stability of the slide mode is demonstrated. A variable structure controller more easy and efficient is designed, which makes the system's state trajectories can be ensured to lie in the chosen slide mode surface at initial time and keep on the slide mode surface. Simulation results demonstrate the effectiveness of the presented method.%考虑一类变时滞系统的滑模控制问题,其中被控系统状态存在多个变时滞并带有不确定性.利用Lyapunov方法和Shur补引理,得到滑动模态特定的充分条件.设计一类简单的变结构控制器,使系统在有限时间内可以到达滑模面并保持在滑模面上运动.仿真结果验证本文结论的有效性.