This article is to tackle the event-based state-feedback control problem for interval type-2 (IT2) fuzzy systems subject to the fading channel. For saving communication resources, a dynamic event-triggered (ET) mechanism is utilized to decide the data transmission from sensors to the controller. A time-varying random process is employed to characterize the fading phenomenon in the unpredictable communication network. By considering the effect of channel fading, a nonparallel distribution compensation (non-PDC) IT2 fuzzy controller is synthesized and its number of rules and membership functions (MFs) can be freely selected. As a consequence, the closed-loop fuzzy system possesses imperfectly matched MFs. By taking the global membership boundary information into stability analysis, the membership-function-dependent analysis method is employed to handle these imperfectly matched MFs and to obtain relaxed criteria. Besides, sufficient criteria are obtained so that the resulting closed-loop IT2 fuzzy system can achieve stochastic stability despite fading measurements. The effectiveness of the proposed method is illustrated by a mass_spring_damper system and a numerical example.

中文翻译：

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衰落信道下间隔二型模糊系统的动态事件触发控制


本文旨在解决受衰落信道影响的区间类型 2 (IT2) 模糊系统的基于事件的状态反馈控制问题。为了节省通信资源，采用动态事件触发（ET）机制来决定从传感器到控制器的数据传输。采用时变随机过程来表征不可预测的通信网络中的衰落现象。考虑信道衰落的影响，综合了一种非并行分布补偿（非PDC）IT2模糊控制器，其规则数和隶属函数（MF）可自由选择。因此，闭环模糊系统具有不完全匹配的 MF。通过将全局隶属边界信息纳入稳定性分析，采用隶属函数相关分析方法来处理这些不完全匹配的MF并获得宽松的准则。此外，获得了足够的标准，使得所得闭环IT2模糊系统能够在衰落测量的情况下实现随机稳定性。通过mass_spring_damper系统和数值例子说明了该方法的有效性。