This article is devoted to event-triggered stabilization for a class of interval type-2 (IT2) fuzzy systems with aperiodic sampling. First, the IT2 Takagi-Sugeno fuzzy model and sampled-data controllers are established subject to mismatched membership functions. Second, considering a nonuniform sampling case, a refined adaptive event-triggered communication scheme is proposed in a hierarchy form to dynamically adjust the direction and rate of the event-triggered threshold parameter by state changing trend and relative state error, respectively. Thus, a complete dual-directional regulating mechanism with sensitivity to state variation is reasonably created to give extra flexibility, which is beneficial for a preferable tradeoff between control performance and network resource. Third, considering the practical behaviors on the sampling interval, a novel integral type of time-dependent Lyapunov function is constructed. Then, the stability criterion and the controller design approach are derived. Finally, the numerical examples are provided to demonstrate the effectiveness and advantages of the proposed methods.

中文翻译：

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通过改进的自适应事件触发通信方案对间隔类型 2 模糊系统进行非周期采样数据控制


本文致力于研究一类具有非周期采样的区间类型 2 (IT2) 模糊系统的事件触发稳定性。首先，IT2 Takagi-Sugeno 模糊模型和采样数据控制器是根据不匹配的隶属函数建立的。其次，考虑到非均匀采样情况，以层次形式提出了一种改进的自适应事件触发通信方案，分别通过状态变化趋势和相对状态误差来动态调整事件触发阈值参数的方向和速率。因此，合理地创建了一个完整的对状态变化敏感的双向调节机制，以提供额外的灵活性，有利于控制性能和网络资源之间的更好权衡。第三，考虑到采样间隔上的实际行为，构造了一种新的积分类型的时间相关的Lyapunov函数。然后，推导了稳定性判据和控制器设计方法。最后，提供数值例子来证明所提出方法的有效性和优点。