On Kalman filtering over fading wireless channels with controlled transmission powers

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 conditio...

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Veröffentlicht in:Automatica (Oxford) Jg. 48; H. 7; S. 1306 - 1316
Hauptverfasser: Quevedo, Daniel E., Ahlén, Anders, Leong, Alex S., Dey, Subhrakanti
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Kidlington Elsevier Ltd 01.07.2012
Elsevier
Schlagworte:
Applied sciences
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Control theory. Systems
Electrical Engineering with specialization in Signal Processing
Elektroteknik med inriktning mot signalbehandling
Exact sciences and technology
Fading channels
Information technology
Informationsteknik
Modelling and identification
Optimal control
Packet dropouts
Power control
Signal processing
Signalbehandling
Software
State estimation
Stochastic stability
Systems, networks and services of telecommunications
TECHNOLOGY
TEKNIKVETENSKAP
Telecommunications
Telecommunications and information theory
Transmission and modulation (techniques and equipments)
Fading channels
Stochastic stability
Power control
State estimation
Packet dropouts
Policy
Packet switching
Kalman filter
Measurement sensor
Control program
Transmission channel
Covariance matrix
Time varying system
Statistical control
Optimal control
Channel allocation
Linear filtering
Instability
Wireless network
System identification
Transmission loss
Sensor array
Optimal control (mathematics)
Power law
ISSN:0005-1098, 1873-2836, 1873-2836
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Beschreibung
Zusammenfassung: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.
ISSN:0005-1098
1873-2836
1873-2836
DOI:10.1016/j.automatica.2012.03.025