On Kalman filtering over fading wireless channels with controlled transmission powers

被引:131
作者
Quevedo, Daniel E. [1 ]
Ahlen, Anders [2 ]
Leong, Alex S. [3 ]
Dey, Subhrakanti [3 ]
机构
[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia
[2] Uppsala Univ, Dept Engn Sci Signals & Syst, SE-75121 Uppsala, Sweden
[3] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3052, Australia
基金
澳大利亚研究理事会;
关键词
State estimation; Fading channels; Packet dropouts; Stochastic stability; Power control; NETWORKED CONTROL-SYSTEMS; SENSOR NETWORKS; STATE ESTIMATION; INTERMITTENT OBSERVATIONS; STABILITY; LOSSES; DROP;
D O I
10.1016/j.automatica.2012.03.025
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We study stochastic stability of centralized Kalman filtering for linear time-varying systems equipped with wireless sensors. Transmission is over fading channels where variable channel gains are counteracted by power control to alleviate the effects of packet drops. We establish sufficient conditions for the expected value of the Kalman filter covariance matrix to be exponentially bounded in norm. The conditions obtained are then used to formulate stabilizing power control policies which minimize the total sensor power budget. In deriving the optimal power control laws, both statistical channel information and full channel information are considered. The effect of system instability on the power budget is also investigated for both these cases. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1306 / 1316
页数:11
相关论文
共 46 条
[1]  
[Anonymous], 2009, MATRIX MATH
[2]  
Boyd S., 2004, CONVEX OPTIMIZATION, VFirst, DOI DOI 10.1017/CBO9780511804441
[3]   Control of mobile communications with time-varying channels in heavy traffic [J].
Buche, R ;
Kushner, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (06) :992-1003
[4]   Optimum power control over fading channels [J].
Caire, G ;
Taricco, G ;
Biglieri, E .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (05) :1468-1489
[5]   Kalman Filtering With Intermittent Observations: Convergence for Semi-Markov Chains and an Intrinsic Performance Measure [J].
Censi, Andrea .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (02) :376-381
[6]   Stochastic power control for wireless networks via SDEs: Probabilistic QoS measures [J].
Charalambous, CD ;
Djouadi, SM ;
Denic, SZ .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4396-4401
[7]   Kalman filtering with faded measurements [J].
Dey, Subhrakanti ;
Leong, Alex S. ;
Evans, Jamie S. .
AUTOMATICA, 2009, 45 (10) :2223-2233
[8]  
EKMAN T, 2002, THESIS UPPSALA U
[9]   Probabilistic performance of state estimation across a lossy network [J].
Epstein, Michael ;
Shi, Ling ;
Tiwari, Abhishek ;
Murray, Richard M. .
AUTOMATICA, 2008, 44 (12) :3046-3053
[10]   Scanning the issue - Special issue on sensor networks and applications [J].
Gharavi, H ;
Kumar, SP .
PROCEEDINGS OF THE IEEE, 2003, 91 (08) :1151-1153