This paper studies the event-triggered control problem for networked switched systems with a mixed time and state-dependent switching law. By the event-triggering strategies, only necessary samplings of feedback signals are determined to be released. The advantages are that redundant transmissions and updates can be reduced. By the adopted switching law, each sub-system will work for a minimum dwell time, and then a state-dependent switching starts to work. Specifically, by using discrete event-triggering strategies and considering the effects of transmission delays, a time-delay closed-loop switched system is first established. Then, by utilising multiple Lyapunov functions method, sufficient conditions are presented to ensure the stability of the closed-loop switched system with a certain performance level. In particular, since the switching instants and the event-triggered instants may be coupled, typical cases are discussed in detail. Moreover, the co-design conditions for state-feedback sub-controller gains and event-triggering parameters are developed. Finally, the effectiveness of the proposed method is verified by numerical simulations.

中文翻译：

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具有混合交换律和事件触发通信机制的网络交换系统的 H∞ 控制

本文研究了具有混合时间和状态相关切换律的网络切换系统的事件触发控制问题。通过事件触发策略，只确定释放必要的反馈信号采样。优点是可以减少冗余传输和更新。根据采用的切换规律，每个子系统将工作最短停留时间，然后状态相关切换开始工作。具体而言，通过使用离散事件触发策略并考虑传输延迟的影响，首先建立了一个时延闭环切换系统。然后，利用多重李雅普诺夫函数方法，给出了保证闭环切换系统在一定性能水平下稳定的充分条件。特别是，由于开关时刻和事件触发时刻可以耦合，所以详细讨论典型情况。此外，还开发了状态反馈子控制器增益和事件触发参数的协同设计条件。最后，通过数值模拟验证了所提方法的有效性。