This paper explores the finite-time bounded issue for discrete-time singular time-varying delay system via sliding mode control method. A suitable discrete-time sliding mode control law is constructed to drive the state trajectories onto the specified sliding surface in a given finite time interval. Meanwhile, sufficient conditions for finite-time bounded to the closed-loop delayed system are provided in both reaching phase and sliding motion phase. In addition, the finite-time sliding mode controller gain matrix can be solved by using the linear matrix inequalities approach. Finally, three numerical examples are illustrated to demonstrate the superiority and practicability of presented results.

本文通过滑模控制方法探讨了离散时间奇异时变时滞系统的有限时间有界问题。构建了一个合适的离散时间滑模控制律，以在给定的有限时间间隔内将状态轨迹驱动到指定的滑动面上。同时，在到达阶段和滑动阶段都提供了有限时间有界于闭环延迟系统的充分条件。此外，有限时间滑模控制器增益矩阵可以使用线性矩阵不等式方法求解。最后，通过三个数值例子说明了所提出结果的优越性和实用性。