This article concerns the event-triggered fuzzy filter design for Takagi-Sugeno (T-S) fuzzy systems subject to deception attacks under the stochastic multiple time-varying delays. A sequence of random variables, which are mutually independent but obey the Bernoulli distribution, is introduced to account for the randomly occurring communication delays. In order to efficiently utilize limited network communication bandwidth resources, the event-triggering scheme is adopted. A fuzzy filter with the attacked input signal is presented. Moreover, due to communication delays caused by event-triggering schemes and transmission, the filter adopts non-synchronous premise variables with the system. Then, by utilizing a model transformation technique, the fuzzy systems are developed. Furthermore, using the piecewise Lyapunov functional method technique, the resulting criterion provides sufficient conditions to ensure that fuzzy systems under deception attacks are stochastically stable with an H_∞ performance. Accordingly, the conditions for the co-design of the fuzzy filter and event-triggering schemes are given. Finally, numerical simulation with the industrial process provided to verify the proposed event-triggered design.

中文翻译：

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未知攻击下随机时滞网络控制系统中Takagi-Sugeno模糊系统的状态估计

本文涉及在随机多个时变延迟下遭受欺骗攻击的 Takagi-Sugeno (TS) 模糊系统的事件触发模糊滤波器设计。引入了一系列相互独立但服从伯努利分布的随机变量来解释随机发生的通信延迟。为了有效利用有限的网络通信带宽资源，采用了事件触发方案。提出了一个带有攻击输入信号的模糊滤波器。此外，由于事件触发方案和传输引起的通信延迟，滤波器采用与系统不同步的前提变量。然后，利用模型转换技术，开发模糊系统。此外，使用分段李雅普诺夫函数方法技术，H _∞性能。因此，给出了模糊滤波器和事件触发方案协同设计的条件。最后，提供工业过程的数值模拟来验证所提出的事件触发设计。