This paper investigates the problem of sliding mode observer design for a class of uncertain fuzzy time-delay systems based on an event-triggered strategy. The objective is to design an event-triggered mechanism by utilizing the information of system output and observer function. Based on the delay partitioning method and the Lyapunov–Krasovskii function approach, delay-dependent sufficient conditions are proposed to guarantee the overall system, including sliding mode dynamics and error dynamics, to be asymptotically stable with an $\mathcal {H}_{\infty }$ performance. Furthermore, an event-triggered sliding mode controller is synthesized to ensure that the system dynamics can be driven to the sliding region near the equilibrium point in finite time. Finally, a verification example is provided to demonstrate the feasibility and efficiency of the theoretical results presented.

中文翻译：

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基于事件触发策略的不确定模糊系统的基于观察者的滑模控制

本文研究了一类基于事件触发策略的不确定模糊时滞系统的滑模观测器设计问题。目的是利用系统输出和观察者函数的信息设计一个事件触发机制。基于延迟划分方法和Lyapunov-Krasovskii函数方法，提出了延迟相关的充分条件，以保证整个系统，包括滑模动力学和误差动力学，渐近稳定，具有$\mathcal {H}_{\ infty }$ 性能。此外，合成了一个事件触发的滑模控制器，以确保系统动力学可以在有限的时间内驱动到平衡点附近的滑动区域。最后，