In this paper, the event-triggered control problem for discrete-time switched linear systems with an arbitrary sampling period is considered. At each sampling instant, only the sampled information of system state and switching signal is available to the controller. Particularly, the sampling period is arbitrary in this paper and frequent switching is allowed to happen in an inter-event period. Based on that, by constructing a time- and mode-dependent quadratic piecewise Lyapunov function, a new globally exponentially stability (GES) result under modal dwell time (MDT) criteria is obtained. By the novel Lyapunov function and the state variable transformation technique, a statefeedback controller is designed for the switched linear system. At last, a numerical example is proposed to illustrate our approach.

中文翻译：

---

具有任意采样周期的离散时间切换线性系统的事件触发控制

本文考虑了具有任意采样周期的离散时间切换线性系统的事件触发控制问题。在每个采样时刻，控制器只能获得系统状态和开关信号的采样信息。特别地，本文中的采样周期是任意的，并且允许在事件间周期内发生频繁的切换。在此基础上，通过构造与时间和模态相关的二次分段李雅普诺夫函数，在模态驻留时间（MDT）准则下获得了新的全局指数稳定性（GES）结果。利用新颖的李雅普诺夫函数和状态变量变换技术，设计了一种用于切换线性系统的状态反馈控制器。最后，提出了一个数值例子来说明我们的方法。