Event-Triggered $H_{\infty}$ Filtering for Discrete-Time T–S Fuzzy Systems via Network Delay Optimization Technique
针对事件触发通信下离散T-S模糊系统的H∞滤波器设计问题，采用分区法解决前提变量异步，并用延迟分段法优化网络延迟上界，通过分段李雅普诺夫泛函给出新充分条件。
This paper is concerned with the problem of H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filter design for discrete-time Takagi-Sugeno (T-S) fuzzy systems under an event-triggered (ET) communication mechanism. A partition method is adopted to overcome the asynchronous problem of the premise variables caused by introducing ET mechanism. The delay segmentation approach is used to deal with the network delay caused by network transmission, and new sufficient conditions are constructed to optimize the upper bound of network delay by combining each segments of the delay with the piecewise Lyapunov-Krasovskii functional. Moreover, it is shown that, for the considered discrete-time T-S fuzzy systems, using the nonsegmentation method, the results obtained by using the delay segmentation approach can be reduced to the existing results. Finally, an illustrative example is provided to show the advantages of the proposed design method.