This paper is devoted to study the issue of event-triggered observer-based $H_{\mathrm{\infty }}$ control of switched linear systems subject to time-varying state delay and exogenous disturbance. Firstly, an observer-based event-triggered controller is provided under the proposed event-triggered mechanism. Then, based on the average dwell time scheme and Jensen's Inequality technique, delay-dependent less conservative sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are obtained to guarantee the resulting augmented switched systems is exponential stabilisation and satisfies a prescribed $H_{\mathrm{\infty }}$ control performance. Furthermore, observer-based event-triggered controller is designed, and it is shown that there exists a positive lower bound of inter-event intervals. Finally, numerical example and comparison results are provided to illustrate the effectiveness and advantages of the proposed method.

本文致力于研究基于事件触发的基于观察者的问题 $H_{\mathrm{\infty }}$时变状态延迟和外源性干扰的线性切换系统的控制。首先，在提出的事件触发机制下，提供了基于观察者的事件触发控制器。然后，基于平均停留时间方案和Jensen不等式技术，获得了基于线性矩阵不等式（LMI）的依赖于延迟的不太保守的充分条件，以确保所得增强开关系统具有指数稳定性并满足规定的要求。$H_{\mathrm{\infty }}$控制性能。此外，设计了基于观察者的事件触发控制器，结果表明事件间间隔存在一个正的下界。最后，通过算例和比较结果说明了该方法的有效性和优势。