引用本文: | 林文娟,何勇.时滞半Markov跳变神经网络系统事件驱动故障检测滤波器设计[J].控制理论与应用,2021,38(9):1341~1350.[点击复制] |
LIN Wen-juan,HE Yong.Event-triggered fault detection filter design for semi-Markov jump neural networks with time delays[J].Control Theory and Technology,2021,38(9):1341~1350.[点击复制] |
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时滞半Markov跳变神经网络系统事件驱动故障检测滤波器设计 |
Event-triggered fault detection filter design for semi-Markov jump neural networks with time delays |
摘要点击 2122 全文点击 762 投稿时间:2020-08-03 修订日期:2021-08-30 |
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DOI编号 10.7641/CTA.2021.00502 |
2021,38(9):1341-1350 |
中文关键词 半Markov跳变神经网络 故障检测 事件驱动 时滞 Lyapunov-Krasovskii泛函 |
英文关键词 semi-Markov jump neural networks fault detection event-triggered: time delays Lyapunov-Krasovskii functional |
基金项目 国家自然科学基金项目(61973284), 湖北省自然科学基金项目(2019CFA040), 111计划项目(B17040), 中国地质大学(武汉)中央高校基本科研业务费资助项目 |
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中文摘要 |
本文针对一类具有时滞的半Markov跳变神经网络系统, 研究其基于滤波器的故障检测问题. 首先, 通过引
入一种事件驱动通讯机制和一个滤波器, 并将时变时滞以及网络诱导时滞考虑进来, 建立残差系统, 将故障检测问
题转化为求解满足一定H1性能指标的滤波问题. 然后, 基于Lyapunov-Krasovskii(L–K)泛函方法, 通过利用时滞乘
积型L–K泛函思想、积分不等式、改进逆凸矩阵不等式等方法, 以线性矩阵不等式形式给出故障检测滤波器的设计
方法. 最后, 数值仿真结果验证本文所设计故障检测滤波器的有效性与优越性. |
英文摘要 |
In this paper, the problem of fault detection is addressed for delayed semi-Markov jump neural networks (S-MNNs) based on an event-triggered communication scheme. By introducing a filter, the addressed fault detection problem is converted into an $H_\infty$ filtering problem. Then, based on the Lyapunov-Krasovskii functional theory, by constructing a delay-product-Lyapunov-Krasovskii functional and using the improved reciprocally convex combination approach, a fault detection filter that guarantees the asymptotic stability and the desired $H_\infty$ performance of the residual system is designed. Finally, numerical simulations are provided to illustrate the effectiveness and superiority of the presented results. |
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