This article studies the event-triggered control problem of interval type-2 (IT2) fuzzy systems. It proposes a new aperiodic-sampling-dependent event-triggered communication scheme, and introduces an improved sampling-dependent discontinuous functional. First, taking into account that the system is with aperiodic sampling, the weighting matrices used for judgement in the event-triggered scheme are designed to be related to each sampling interval or its upper and lower bounds, according to the sampling interval being predictable or not. This design makes the scheme more flexible, thereby improving control effectiveness. Second, a sampling-dependent discontinuous functional is introduced into event-triggered control, which contains matrix variables depending on the aperiodic sampling, and incorporates an improved discontinuous term and a vector related to event-triggered condition. Thus, the functional reduces the conservativeness of stability and stabilization criteria. Based on the above aperiodic-sampling-dependent strategy, the derived results achieve better event-triggered control effects compared with the recent literature. At the end, two examples are given to validate the theoretical effectiveness and advantages of the results under various parameters.

中文翻译：

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区间2型模糊系统的非周期采样相关事件触发控制策略：新通信方案和间断泛函


本文研究区间2型(IT2)模糊系统的事件触发控制问题。提出了一种新的非周期采样相关事件触发通信方案，并引入了改进的采样相关不连续泛函。首先，考虑到系统是非周期采样，根据采样间隔是否可预测，将事件触发方案中用于判断的权重矩阵设计为与每个采样间隔或其上下界相关。 。这样的设计使得方案更加灵活，从而提高了控制效果。其次，事件触发控制中引入了采样相关的间断泛函，其中包含依赖于非周期采样的矩阵变量，并结合了改进的间断项和与事件触发条件相关的向量。因此，泛函降低了稳定性和稳定标准的保守性。基于上述非周期采样依赖策略，与近期文献相比，推导结果取得了更好的事件触发控制效果。最后给出两个算例验证了不同参数下结果的理论有效性和优势。