In this paper, a finite-time adaptive event-triggered dissipative filtering problem for the interval type-2 (IT-2) Takagi-Sugeno (T-S) fuzzy networked Markov jump systems (NMJs) is investigated based upon the time-varying delays. By designing a generalized performance index, the $H_{\infty },$ $L_2-L_{\infty }$ and dissipative performances for fuzzy filtering problems with network transmission delay are addressed in a unified framework. In the design process, two essential factors, intermittent data packet dropouts and delay factors in the fuzzy filter are taken into consideration. In order to rationally utilize network resources and elaborately avoid unnecessary continuous monitoring, an adaptive event-triggered scheme is designed to guarantee that the IT–2 T-S fuzzy NMJSs are finite-time boundedness, and thus lowering the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this paper, the parameters of the triggering function are based on a new adaptive law which is obtained online rather than a predefined constant. Based on the Lyapunov stability theory and appropriate inequality, some sufficient criteria in the form of linear matrix inequalities are obtained to ensure the stability of the resulting error system. Finally, an illustrative example is provided to demonstrate the effectiveness and superiority of the proposed method.

本文基于时变时滞，研究了区间2型（IT-2）高木-苏格诺（TS）模糊网络马尔可夫跳跃系统（NMJ）的有限时间自适应事件触发耗散滤波问题。通过设计广义的性能指标，$H_{\infty }，$ ${\mathrm{大号}}_2-{\mathrm{大号}}_{\infty }$在一个统一的框架中解决了具有网络传输延迟的模糊滤波问题的耗散性能。在设计过程中，考虑了两个基本因素，即间歇性数据包丢失和模糊滤波器中的延迟因素。为了合理利用网络资源并避免不必要的连续监视，设计了一种自适应事件触发方案，以确保IT–2 TS模糊NMJS具有有限的时间限制，从而在确保性能的同时降低了通信能耗具有更大耗散性的系统 与常规触发机制不同，本文中，触发函数的参数基于新的自适应定律，该定律是在线获取的，而不是预定义的常数。基于Lyapunov稳定性理论和适当的不等式，以线性矩阵不等式的形式获得了一些足够的准则，以确保所得误差系统的稳定性。最后，提供了一个示例性例子来证明所提出方法的有效性和优越性。