In this paper, the H ∞ performance of observer-based asynchronous linear switched delay systems with an event-triggered sampling scheme is considered. Firstly, owing to the system state cannot be measured completely in practice, a state feedback observer is used to reconstruct the system state. Next, we design an event-triggered sampling mechanism, under which the sample of the system only occur when the error exceeds a predetermined threshold, so it will reduce economic losses. Then, considering the asynchronous switching between the subsystems and the controllers, some sufficient conditions are proposed by using merging switching signal method and multiple Lyapunov function method to ensure the H ∞ performance of the asynchronous closed-loop system. Finally, a numerical example is given to illustrate the validity of the results.

中文翻译：

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异步切换延迟系统的基于事件触发的 H∞ 控制

在本文中，考虑了具有事件触发采样方案的基于观测器的异步线性切换延迟系统的H ∞ 性能。首先，由于系统状态在实践中无法完全测量，因此使用状态反馈观测器来重构系统状态。接下来，我们设计了一种事件触发的采样机制，在该机制下，系统的样本仅在误差超过预定阈值时发生，从而减少经济损失。然后，考虑子系统和控制器之间的异步切换，利用合并切换信号法和多重李雅普诺夫函数法，提出了保证异步闭环系统H ∞ 性能的一些充分条件。最后给出一个数值例子来说明结果的有效性。