具有一步随机时滞和多丢包的网络系统<I>H</I><sub>∞</sub>滤波器设计

李秀英; 王金玉; 孙书利

doi:10.3724/SP.J.1004.2014.00155

具有一步随机时滞和多丢包的网络系统H_∞滤波器设计

doi: 10.3724/SP.J.1004.2014.00155

1.
黑龙江大学电子工程学院哈尔滨 150080

基金项目:

国家自然科学基金（60874062，61174139）;教育部新世纪人才计划（NCET-10-0133）;黑龙江大学高层次人才计划（Hdtd2010-03）;黑龙江省研究生创新科研项目（YJSCX2012-271HLJ）;省重点实验室基金资助

详细信息

作者简介:
李秀英黑龙江大学电子工程学院博士研究生. 主要研究方向网络控制系统的滤波与控制. E-mail：xiuxiu4480@sina.com

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出版历程
- 收稿日期: 2012-08-13
- 修回日期: 2012-11-07
- 刊出日期: 2014-01-20

H_∞ Filter Design for Networked Systems with One-step Random Delays and Multiple Packet Dropouts

1.
School of Electronic Engineering, Heilongjiang University, Harbin 150080

Funds:

Supported by National Natural Science Foundations of China (60874062, 61174139), Program for New Century Excellent Talents in University (NCET-10-0133), Program for High-qualified Talents in Heilongjiang University (Hdtd2010-03), Postgraduate Innovation Project of Heilongjiang Province (YJSCX2012-271HLJ), and Heilongjiang Province Key Laboratory

摘要

摘要: 在网络系统中由于连接传感器和滤波器的网络带宽有限，系统测量数据在传输中会出现随机时延甚至丢失. 本文讨论了具有一步随机时延和丢包的网络系统的H∞滤波器设计问题.基于新近提出的同时描述随机时延和丢包的模型，利用线性矩阵不等式方法设计线性滤波器，使得滤波误差系统均方指数稳定，并具有给定的H∞性能. 滤波器参数通过求解一个线性矩阵不等式得到.仿真研究说明了所提出算法的有效性.
- 网络系统 /
- 随机时延 /
- 丢包 /
- H∞滤波 /
- 线性矩阵不等式
Abstract: In networked systems, due to the limited bandwidth of communication channel connecting the sensors and the filters, the system measurements will be received with delays or even be lost during data transmission. In this paper, an H∞ filtering problem is discussed for networked systems with random one-step delays and packet dropouts. Based on the new model presented recently which describes the random delays and packet dropouts simultaneously, a linear H∞ filter is designed such that the filtering error system is exponentially mean-square stable and a prescribed H∞ performance is guaranteed via the linear matrix inequality (LMI) approach. The parameters of the filter are obtained by solving an LMI. The simulation study shows the effectiveness of the proposed algorithm.
- Networked system /
- random delay /
- packet dropout /
- H∞ filter /
- linear matrix inequality (LMI)

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参考文献(14)

[1]	Zhang B Y, Zheng W X. H∞ filter design for nonlinear networked control systems with uncertain packet-loss probability. Signal Processing, 2012, 92(6): 1499-1507
[2]	Ma Wei-Guo, Shao Cheng. Stochastic stability for networked control systems. Acta Automatica Sinica, 2007, 33(8): 878-882(马卫国, 邵诚. 网络控制系统随机稳定性研究. 自动化学报, 2007, 33(8): 878-882)
[3]	Antsaklis P, Baillieul J. Special issue on technology of networked control systems. Proceedings of the IEEE, 2007, 95(1): 5-8
[4]	Wang Fei-Yue, Wang Cheng-Hong. On some basic issues in network-based direct control systems. Acta Automatica Sinica, 2002, 28(S): 172-176(王飞跃, 王成红. 基于网络控制的若干基本问题的思考和分析. 自动化学报, 2002, 28(增刊): 172-176)
[5]	Xiao L, Hassibi A, How J P. Control with random communication delays via a discrete-time jump system approach. In: Proceedings of the 2000 American Control Conference. Chicago, USA: IEEE, 2000. 3(1): 2199-2204
[6]	Shi Y, Yu B. Output feedback stabilization of networked control systems with random delays modeled by Markov chains. IEEE Transactions on Automatic Control, 2009, 54(7): 1668-1674
[7]	Sun Y G, Qin S Y. Stability and stabilization of networked control systems with bounded packet dropout. Acta Automatica Sinica, 2011, 37(1): 113-118
[8]	Xiong J L, Lam J. Stabilization of linear systems over networks with bounded packet loss. Automatica, 2007, 43(1): 80-87
[9]	Zhou S S, Feng G. H∞ filtering for discrete-time systems with randomly varying sensor delays. Automatica, 2008, 44(7): 1918-1922
[10]	Wang Wu, Lin Qiong-Bin, Yang Fu-Wen. H∞ filter design for discrete-time networked systems with random communication delays. Control Theory and Application, 2007, 24(3): 366-370, 379(王武, 林琼斌, 杨富文. 具有随机通讯时延的离散网络化系统的H∞滤波器设计. 控制理论与应用, 2007, 24(3): 366-370, 379)
[11]	Sahebsara M, Chen T W, Shah S L. Optimal H∞ filtering in networked control systems with multiple packet dropouts. Systems and Control Letters, 2008, 57(9): 696-702
[12]	Ma J, Sun S L. Information fusion estimators for systems with multiple sensors of different packet dropout rates. Information Fusion, 2011, 12(3): 213-222
[13]	Sun Shu-Li. Optimal linear estimation for networked systems with one-step random delays and multiple packet dropouts. Acta Automatica Sinica, 2012, 38(3): 349-356(孙书利. 具有一步随机滞后和多丢包的网络系统的最优线性估计. 自动化学报, 2012, 38(3): 349-356)
[14]	Shi P, Luan X L, Liu F. H∞ filtering for discrete-time systems with stochastic incomplete measurement and mixed delays. IEEE Transactions on Industrial Electronics, 2012, 59(6): 2732-2739