This paper visits the design of event-triggered static and dynamic feedback controllers for discrete-time linear systems. For the efficiency of energy, we make the first attempt to devise a switching event-triggered mechanism (ETM) which is characterized by a switching between the discrete-time sampled-data control and the common continuous ETM. In this sense, the event detector has a waiting time interval after sending a sampling signal. This method facilitates to enlarge the lower bound of inter-execution intervals so that the number of samplings can be reduced essentially. The issue of actuator saturation is also considered in this paper. By generalized sector condition, a switching Lyapunov functional is constructed to derive the sufficient conditions such that the discrete-time linear systems are local stable. Based on the stability conditions, the calculation methods are provided to solve both the desired control gains and the triggering parameters. Finally, numerical simulations are given to validate the effectiveness and superiority of the proposed method.

本文访问了离散线性系统中事件触发的静态和动态反馈控制器的设计。为了提高能源效率，我们首次尝试设计一种切换事件触发机制（ETM），该机制的特点是在离散时间采样数据控制与通用连续ETM之间进行切换。从这个意义上说，事件检测器在发送采样信号后有一个等待时间间隔。该方法有助于扩大执行间间隔的下限，从而可以实质上减少采样数。本文还考虑了执行器饱和的问题。通过广义的扇区条件，构造了一个切换的Lyapunov函数以导出足够的条件，使得离散时间线性系统是局部稳定的。根据稳定性条件，提供了计算方法来解决所需的控制增益和触发参数。最后，通过数值仿真验证了所提方法的有效性和优越性。