This paper attempts to propose a new solution to the event-triggered fault detection problem for discrete-time Takagi–Sugeno fuzzy systems in a network environment. First, for the original Takagi–Sugeno fuzzy system, our focus is on constructing a new based-network residual system, considering the event-triggering mechanism, interval time-varying delays, and packet dropouts. Under the established system, a less conservative basis-dependent stability condition is obtained by using the reciprocally convex technique, which ensures that the corresponding residual system is mean-square asymptotically stable with a given $\mathcal{H}_{\infty }$ performance. Second, the desired fuzzy-rule-dependent fault detector and the controller scheme are established using a variable substitution approach. Furthermore, these criteria can be transformed into convex optimization problems and then calculated by the standard optimization toolbox. Finally, the advantages of the proposed fault detector and controller coordinated design technique are illustrated by the simulation results.

中文翻译：

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模糊系统的事件触发故障检测器与控制器协调设计

本文试图为网络环境中离散时间 Takagi-Sugeno 模糊系统的事件触发故障检测问题提出一种新的解决方案。首先，对于原始的 Takagi-Sugeno 模糊系统，我们的重点是构建一个新的基于网络的残差系统，考虑事件触发机制、间隔时变延迟和数据包丢失。在建立的系统下，通过使用倒数凸技术获得了一个不太保守的基依赖稳定性条件，这确保了对应的残差系统在给定的$\mathcal{H}_{\infty }$下是均方渐近稳定的表现。其次，使用变量替代方法建立所需的模糊规则相关故障检测器和控制器方案。此外，这些标准可以转化为凸优化问题，然后由标准优化工具箱计算。最后，仿真结果说明了所提出的故障检测器和控制器协调设计技术的优点。