引用本文: | 李秀英,王金玉,孙书利.具有随机观测滞后和丢失的网络系统鲁棒H∞滤波[J].控制理论与应用,2013,30(11):1401~1407.[点击复制] |
LI Xiu-ying,WANG Jin-yu,SUN Shu-li.Robust H-infinity filtering for network-based systems with delayed and missing measurements[J].Control Theory and Technology,2013,30(11):1401~1407.[点击复制] |
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具有随机观测滞后和丢失的网络系统鲁棒H∞滤波 |
Robust H-infinity filtering for network-based systems with delayed and missing measurements |
摘要点击 2461 全文点击 2227 投稿时间:2013-02-05 修订日期:2013-05-07 |
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DOI编号 10.7641/CTA.2013.30111 |
2013,30(11):1401-1407 |
中文关键词 H∞滤波 网络控制系统 数据包丢失 观测滞后 线性矩阵不等式 |
英文关键词 H-infinity filtering networked control systems data packet dropout delayed measurement linear matrix inequality (LMI) |
基金项目 国家自然科学基金资助项目(NSFC–60874062, 61174139); 教育部新世纪人才资助项目(NCET–10–0133); 黑龙江大学高层次人才资助项目(Hdtd2010–03); 黑龙江省研究生创新科研资助项目(YJSCX2012–271HLJ); 黑龙江省重点实验室基金资助项目(DZZD20100023). |
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中文摘要 |
研究一类同时具有随机观测滞后和丢失的网络控制系统鲁棒H∞滤波问题. 网络建模采用新近同时描述随机一步时滞和数据包丢失的模型, 基于Lyapunov理论和线性矩阵不等式技术设计系统的满阶滤波器, 减小了状态增广带来的计算负担, 同时引入松弛变量使Lyapunov矩阵和系统矩阵分离, 降低结果的保守性, 得到了使滤波误差系统在均方意义下鲁棒指数稳定并具有给定H∞性能的一个LMI形式的充分条件. 仿真结果验证了该方法有效性. |
英文摘要 |
The robust H-infinity filtering problem is studied for a class of networked control systems (NCSs) with random delayed and missing measurements. The recent model of NCSs is adopted to describe the random one-step transmission delay and possible packet dropouts, simultaneously. A full-order filter is designed based on Lyapunov theory and the linear matrix inequality (LMI) technique which can reduce the computational burden involved in the state augmentation method. Meanwhile, the slack matrix is introduced to separate the system matrix and the Lyapunov matrix, and a less conservative result is obtained. An LMI-based sufficient condition is established such that the filtering error system is robustly exponentially stable in the sense of mean square and achieves the prescribed H-infinity disturbance attenuation level. Simulation results are given to illustrate the effectiveness of the proposed method. |