This paper investigates the event-triggered sliding mode control (SMC) problem for singular systems with disturbance. Firstly, an event-triggered sliding mode control law is designed to guarantee the reachability of sliding surface. Different from the related methods, in order to deal with the difficulty caused by event-triggered SMC strategy, a novel Lemma is proposed in this paper. Secondly, the admissibility of sliding motion is presented, which is used to solve the controller gain. Then, a positive lower bound of the inter execution time can be guaranteed and the Zeno behavior is avoided. Finally, two simulation examples are presented to show the effectiveness of derived theoretical results.

本文研究了带有扰动的奇异系统的事件触发滑模控制（SMC）问题。首先，设计了一种事件触发的滑模控制律，以保证滑面的可达性。与相关方法不同，为解决事件触发SMC策略带来的困难，本文提出了一种新颖的引理。其次，提出了滑动运动的可容许性，用于解决控制器增益。这样，可以确保内部执行时间的正下限，并且避免了Zeno行为。最后，给出了两个仿真示例，以证明导出的理论结果的有效性。