引用本文: | 周佩冬,俞立,宋洪波,欧林林.具有随机协议网络化系统的H∞滤波[J].控制理论与应用,2010,27(12):1711~1716.[点击复制] |
ZHOU Pei-dong,YU Li,SONG Hong-bo,OU Lin-lin.H-infinity filtering for network-based systems with stochastic protocols[J].Control Theory and Technology,2010,27(12):1711~1716.[点击复制] |
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具有随机协议网络化系统的H∞滤波 |
H-infinity filtering for network-based systems with stochastic protocols |
摘要点击 1520 全文点击 1229 投稿时间:2010-05-07 修订日期:2010-07-26 |
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DOI编号 10.7641/j.issn.1000-8152.2010.12.PCTA100520 |
2010,27(12):1711-1716 |
中文关键词 网络化系统 随机协议 H∞滤波 马尔可夫跳变系统 |
英文关键词 network-based systems stochastic protocols H-infinity filtering Markovian jump systems(MJSs) |
基金项目 国家自然科学基金资助项目(60834003, 60974017, 60704021). |
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中文摘要 |
本文研究了一类具有随机介质访问协议网络化系统的H∞滤波问题. 将传感器和滤波器的通信过程描述为一个马尔可夫链, 进而将滤波误差系统建模成一个马尔可夫跳变系统. 然后, 运用李雅普诺夫方法和线性矩阵不等式技术, 给出了滤波误差系统随机稳定且具有给定H∞性能的一个充分条件, 并基于该条件给出了H1滤波器的设计方法. 最后的数值算例验证了本文方法的有效性. |
英文摘要 |
The H-infinity filtering is studied for network-based systems with stochastic protocols. The communication process between the sensors and the filter is described as a Markov chain; thus the resulting filtering error system is a Markovian jump system. By using the Lyapunov method and the linear matrix inequality technique, we develop the sufficient conditions for the filtering error system to be stochastically stable and with a prescribed H-infinity performance. An H-infinity filter design procedure is also presented based on the developed conditions. A numerical example is given to show the effectiveness of the proposed method. |
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