Abstract This paper studies the event-triggered control problem for networked switched systems with actuator saturation. An event-triggering strategy is developed based on discrete event-triggered samplings. By which, a waiting time is first ensured to avoid the Zeno-like behavior, and then the data transmission is carried out once a desired performance-dependent condition is satisfied. According to the implementation of the triggering strategy and considering the impacts of transmission delay and actuator saturation, a time-delay closed-loop switched system is developed. Subsequently, sufficient conditions to ensure stability of the closed-loop system are derived by making use of the average dwell time and multiple Lyapunov functions method. In particular, since the waiting time, periodic sampling instants, data updating instants and switching instants may be coupled with each other, typical cases are discussed thoroughly to analyze the system stability. Moreover, together with the estimation of domain of attraction, sufficient conditions for the design of the desired state-feedback sub-controller gains and event-triggering parameters are presented. Finally, the effectiveness of the proposed method is verified by numerical simulations.

中文翻译：

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基于等待时间的离散事件触发控制具有执行器饱和的网络交换系统

摘要 本文研究了具有执行器饱和的网络切换系统的事件触发控制问题。事件触发策略是基于离散事件触发采样开发的。通过这种方式，首先确保等待时间以避免类似 Zeno 的行为，然后一旦满足所需的性能依赖条件，则执行数据传输。根据触发策略的实现，并考虑传输延迟和执行器饱和的影响，开发了一个延时闭环切换系统。随后，利用平均驻留时间和多重李雅普诺夫函数方法推导出保证闭环系统稳定性的充分条件。特别是，由于等待时间，周期性采样瞬间，数据更新时刻和切换时刻可能相互耦合，对典型案例进行深入讨论，分析系统稳定性。此外，连同对吸引域的估计，提出了设计所需状态反馈子控制器增益和事件触发参数的充分条件。最后，通过数值模拟验证了所提方法的有效性。