This paper investigates the fixed-time stabilization for IT2 T-S fuzzy interconnected systems via event-triggered mechanism. In order to reduce the amount of triggering events, an exponential gain method is proposed. The main novelty of this new method lies in the introduction of an exponential term, which makes control gains alterable in the interval of two consecutive event times. Then, by designing controllers with exponential gains, some sufficient conditions are derived which guarantee the fixed-time stabilization of the concerned system. Since sign functions are no longer contained in the newly designed controller, the chattering phenomena are also avoided. Additionally, the existence of a positive lower bound for the inter-execution is verified, which implies that the concerned system does not exhibit Zeno behaviors. Finally, several illustrative examples are provided to show the effectiveness of the main results.

中文翻译：

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基于事件触发机制的 IT2 T__ 模糊互连系统的固定时间稳定：一种指数增益方法


本文研究了通过事件触发机制实现IT2 TS模糊互联系统的定时稳定。为了减少触发事件的数量，提出了指数增益方法。这种新方法的主要新颖之处在于引入了指数项，这使得控制增益在两个连续事件时间的间隔内是可变的。然后，通过设计具有指数增益的控制器，推导了保证相关系统定时稳定的一些充分条件。由于新设计的控制器中不再包含符号功能，因此也避免了抖动现象。此外，还验证了交互执行的正下限的存在，这意味着相关系统不表现出 Zeno 行为。最后，提供了几个说明性例子来说明主要结果的有效性。