具有一步随机滞后和多丢包的网络系统的最优线性估计

孙书利

doi:10.3724/SP.J.1004.2012.00349

具有一步随机滞后和多丢包的网络系统的最优线性估计

doi: 10.3724/SP.J.1004.2012.00349

孙书利^,

1.
黑龙江大学电子工程学院自动化系哈尔滨 150080

详细信息

通讯作者:
孙书利, 博士,黑龙江大学自动化系教授. 主要研究方向为状态估计,信息融合和传感器网络.E-mail: sunsl@hlju.edu.cn

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出版历程
- 收稿日期: 2011-01-17
- 修回日期: 2011-05-18
- 刊出日期: 2012-03-20

Optimal Linear Estimation for Networked Systems with One-step Random Delays and Multiple Packet Dropouts

SUN Shu-Li^,

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

摘要

摘要: 研究了具有随机时滞和丢包的网络系统的最优线性估计问题.本文通过两个满足 Bernoulli分布的随机变量来描述网络数据传输中可能存在的一步随机滞后和多丢包现象. 并基于新息分析方法,提出了线性最小方差下的最优线性状态滤波器、预报器和平滑器. 它们通过解一个Riccati方程和一个Lyapunov方程得到.最后,给出了稳态估值器存在的一个充分条件. 并通过仿真例子验证其有效性.
- 最优线性估值器 /
- 随机滞后 /
- 丢包 /
- 线性最小方差
Abstract: This paper is concerned with optimal linear estimation problem for networked systems with random delays and packet dropouts. Two Bernoulli distributed random variables are employed to describe the phenomena of possible one-step random delay and multiple packet dropouts in data transmission by networks. Based on an innovative analysis approach, the optimal linear filter, predictor and smoother for the state are presented in a linear minimum variance sense. They are solved based on a Riccati equation and a Lyapunov equation. A sufficient condition for the existence of the steady-state estimators is given. A simulation example verifies their effectiveness.
- Optimal linear estimator /
- random delay /
- packet dropout /
- linear minimum variance

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参考文献(1)

[1]

Nilsson J, Bernhardsson B, Wittenmark B. Stochastic analysis and control of real-time systems with random time delays. Automatica, 1998, 34(1): 57-64[2] Sun Ye-Guo, Qin Shi-Yin. Stability and stabilization of networked control systems with bounded packet dropout. Acta Automatica Sinica, 2011, 37(1): 113-118[3] Li Hui, Wu Qing-He, Huang Huang. Control of spatially interconnected systems with random communication losses. Acta Automatica Sinica, 2010, 36(2): 259-266[4] 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)[5] Zhang H, Xie L. Control and Estimation of Systems with Input/Output Delays. Berlin: Springer, 2007[6] Ray A, Liou L W, Shen J H. State estimation using randomly delayed measurements. Journal of Dynamic Systems, Measurement, and Control, 1993, 115(1): 19-26[7] Yaz E, Ray A. Linear unbiased state estimation under randomly varying bounded sensor delay. Applied Mathematics Letters, 1998, 11(4): 27-32[8] Nakamori S, Caballero-Aguila R, Hermoso-Carazo A, Linares-Perez J. Recursive estimators of signals from measurements with stochastic delays using covariance information. Applied Mathematics and Computation, 2005, 162(1): 65-79[9] Nahi N. Optimal recursive estimation with uncertain observation. IEEE Transactions on Information Theory, 1969, 15(4): 457-462[10] Tugnait J K. Stability of optimum linear estimators of stochastic signals in white multiplicative noise. IEEE Transactions on Automatic Control, 1981, 26(3): 757-761[11] Nakamori S, Caballero-Aguila R, Hermoso-Carazo A, Linares-Perez J. Linear recursive discrete-time estimators using covariance information under uncertain observations. Signal Processing, 2003, 83(7): 1553-1559[12] Wang Z, Ho D W C, Liu X. Robust filtering under randomly varying sensor delay with variance constraints. IEEE Transactions on Circuits and Systems II: Express Briefs, 2004, 51(6): 320-326[13] Wang Z, Yang F, Ho D W C, Liu X. Robust H∞ filtering for stochastic time-delay systems with missing measurements. IEEE Transactions on Signal Processing, 2006, 54(7): 2579-2587[14] Sahebsara M, Chen T, Shah S L. Optimal H2 filtering with random sensor delay, multiple packet dropout and uncertain observations. International Journal of Control, 2007, 80(2): 292-301[15] Sahebsara M, Chen T, Shah S L. Optimal H2 filtering in networked control systems with multiple packet dropout. IEEE Transactions on Automatic Control, 2007, 52(8): 1508-1513[16] Sun S, Xie L, Xiao W, Soh Y. Optimal linear estimation for systems with multiple packet dropouts. Automatica, 2008, 44(5): 1333-1342[17] Sun S, Xie L, Xiao W. Optimal full-order and reduced-order estimators for discrete-time systems with multiple packet dropouts. IEEE Transactions on Signal Processing, 2008, 56(8): 4031-4038[18] Sun S, Xie L, Xiao W. Optimal full-order filtering for discrete-time systems with random measurement delays and multiple packet dropouts. Journal of Control Theory and Applications, 2010, 8(1): 105-110[19] Sun S. Linear minimum variance estimators for systems with bounded random measurement delays and packet dropouts. Signal Processing, 2009, 89(7): 1457-1466[20] Anderson B D O, Moore J B. Optimal Filtering. New Jersey: Prentice-Hall, 1979

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