This work concerns the event-based asynchronous filtering problem for T-S fuzzy nonhomogeneous Markov switching systems with variable packet dropouts. The discrete-time nonhomogeneous Markov process is adopted to depict mode switching among subsystems, in which the time-varying transition probabilities are characterized by a polytope structure. The variable packet dropouts are developed to describe the randomly occurring packet dropouts, where the arriving rate remains variable and uncertain. Aiming to save the limited network bandwidth, event-triggered strategy and quantization scheme are presented. By establishing the fuzzy-rule-dependent Lyapunov functional and applying a hidden Markov model policy, sufficient criteria are gained and asynchronous filters are designed by solving linear matrix inequalities (LMIs). Finally, the applicability of the proposed filtering strategy is verified by an inverted pendulum model.

这项工作涉及具有可变数据包丢失的 TS 模糊非齐次马尔可夫交换系统的基于事件的异步过滤问题。采用离散时间非齐次马尔科夫过程来描述子系统之间的模式切换，其中时变转移概率以多面体结构为特征。可变数据包丢失被开发来描述随机发生的数据包丢失，其中到达率保持可变和不确定。为了节省有限的网络带宽，提出了事件触发策略和量化方案。通过建立依赖于模糊规则的 Lyapunov 泛函并应用隐马尔可夫模型策略，获得了足够的准则，并通过求解线性矩阵不等式 (LMI) 设计了异步滤波器。最后，