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An Event-Triggered $${H_\infty }$$ H ∞ Filter for Interval Type-2 T–S Fuzzy Nonlinear Networked Systems with Parameter Uncertainties and Delays
International Journal of Fuzzy Systems ( IF 3.6 ) Pub Date : 2021-08-22 , DOI: 10.1007/s40815-021-01083-0
Guangtao Ran 1, 2 , Jian Liu 2, 3 , Yiqing Huang 2 , Dongyu Li 4 , Yanling Zhang 5
Affiliation  

This paper designs an event-triggered \({H_\infty }\) filter for interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy nonlinear networked systems with parameter uncertainties and delays. First, an IT2 T–S fuzzy model is used to describe the nonlinear plant and the filter subject to parameter uncertainties, which can be captured with the lower and upper membership functions. Then, an event-triggered scheme and a quantizer are proposed to reduce the unnecessary waste of the network resources. Second, the asynchronous premise variables problem is considered in the design of the fuzzy filter, which means that the premise variable of the designed filter needs not to be identical with the plant. Third, by constructing a Lyapunov–Krasovskii function with quadruple integral items, and employing the Wirtinger inequality and some slack matrices, a stability condition with less conservative is obtained. Finally, a numerical example demonstrates the effectiveness of the proposed method.



中文翻译:

具有参数不确定性和延迟的区间类型 2 T-S 模糊非线性网络系统的事件触发 $${H_\infty }$$ H ∞ 滤波器

本文设计了一个事件触发的\({H_\infty }\)具有参数不确定性和延迟的区间类型 2 (IT2) Takagi-Sugeno (T-S) 模糊非线性网络系统的滤波器。首先,使用 IT2 T-S 模糊模型来描述非线性被控对象和受参数不确定性影响的滤波器,可以通过下隶属函数和上隶属函数来捕获。然后,提出了事件触发方案和量化器来减少网络资源的不必要浪费。其次,在模糊滤波器的设计中考虑了异步前提变量问题,这意味着设计的滤波器的前提变量不需要与被控对象相同。第三,通过构造一个具有四重积分项的Lyapunov-Krasovskii函数,并利用Wirtinger不等式和一些松弛矩阵,得到一个保守性较小的稳定条件。最后,

更新日期:2021-08-23
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