具有时变延迟的模糊马尔可夫跃迁系统的事件触发 H∞ 和降阶异步滤波

B. Vigneshwar, M. Syed Ali, R. Perumal, Bandana Priya, Ganesh Kumar Thakur
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引用次数: 0

摘要

本论文研究了事件触发方案(ETS)下具有时变延迟的高木-菅野(T-S)模糊马尔可夫跃迁系统(MJS)的异步降阶设计难题。在指定触发函数的基础上提供了一种分布式事件触发策略,以确保系统达成共识,从而有效减少数据传输。我们确定了一类马尔可夫跃迁离散时间系统的存在条件。与以往结果不同的是,我们提出了一种新的依赖于成员函数的模糊 Lyapunov-Krasovsikii (L-K) 函数,该函数具有依赖于模式的积分项,从而产生了一种具有理想性能的随机稳定滤波误差系统。通过求解线性矩阵不等式(LMI),可以得到推荐的滤波器参数。通过数值示例证明了所建议的降阶滤波器的有效性和优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Event‐triggered H∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays

Event‐triggered H∞ and reduced‐order asynchronous filtering for fuzzy Markov jump systems with time‐varying delays
The challenge of and asynchronous reduced‐order design for Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with time‐varying delays under the event‐triggered scheme (ETS) is investigated in this dissertation. A distributed event‐triggered strategy is provided on the basis of the specified triggering function to ensure consensus in the system, so effectively reducing data transmission. The existence conditions for a class of Markovian jump discrete‐time systems are determined. Unlike previous results, we present a novel membership function‐dependent fuzzy Lyapunov‐Krasovsikii (L‐K) functional with mode‐dependent integral terms, resulting in a stochastically stable filtering error system with the desired performance. By solving linear matrix inequality (LMIs), the recommended filter parameters are achieved. The proposed reduced‐order filter is demonstrated in numerical examples as effective as it is advantageous.
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