This paper is devoted to solving the problem of sliding mode control for discrete-time switched systems with disturbances via an improved event-triggered strategy. First, the switched sliding mode dynamics is obtained based on the pre-designed sliding mode surface. Then, on the basis of the Lyapunov functional technique and the average dwell time approach, sufficient conditions for the existence of the concerned sliding mode dynamics are established. Third, the sliding mode control law is synthesized such that state trajectories of the considered switched system can be driven into the bounded sliding mode region and maintain there subsequently. Moreover, the event-triggered scheme is proposed in close combination with key feature of sliding mode control, which is different from the most existing works. Finally, two examples including a single-link robot arm system are given to show the effectiveness of the proposed design method.

中文翻译：

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改进的带扰动切换系统的事件触发滑模控制

本文致力于通过改进的事件触发策略解决具有扰动的离散时间切换系统的滑模控制问题。首先，基于预先设计的滑模面获得切换滑模动力学。然后，基于Lyapunov泛函技术和平均停留时间方法，建立了相关滑模动力学存在的充分条件。第三，综合了滑模控制律，使得所考虑的切换系统的状态轨迹可以被驱动到有界滑模区域并随后保持在那里。此外，与大多数现有工作不同，事件触发方案与滑模控制的关键特征紧密结合。最后，