Mean square detectability of LTI systems over finite-state digital block-fading channels

This paper studies the mean square quadratic (MSQ) detectability for multi-output networked systems over finite-state digital block-fading channels. The packet-loss rate of each digital fading channel depends on the channel power gain, as well as packet length and power level used for transmission....

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Bibliographic Details
Published in:International journal of control, automation, and systems 2017, Automation, and Systems, 15(2), , pp.498-505
Main Authors: Chen, Wei, Zou, Yuanyuan, Xiao, Nan, Niu, Yugang
Format: Article
Language:English
Subjects:
Algebra
Automation
Channels
Codes
Communications networks
Control
Control systems
Digital
Engineering
Fading
Mean square values
Mechatronics
Network management systems
Network topologies
Networks
Power gain
Random variables
Regular Papers
Robotics
Studies
Wireless communications
Wireless networks
제어계측공학
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Summary:This paper studies the mean square quadratic (MSQ) detectability for multi-output networked systems over finite-state digital block-fading channels. The packet-loss rate of each digital fading channel depends on the channel power gain, as well as packet length and power level used for transmission. A finite-state random process is introduced to model time-varying fading channels, which characterizes various configurations of physical communication environment and/or different channel fading amplitudes. Necessary and sufficient conditions for MSQ detectability over finite-state Markov digital block-fading channels are given in the form of algebraic Riccati equations or linear matrix inequalities (LMIs). The estimation gain is given as a function of estimated/observed channel state. In addition, explicit conditions on network for MSQ detectability over finite-state independent identically distributed (i.i.d.) digital block-fading channels are presented in terms of the unstable poles of the multi-output plant. Finally, an application to Gilbert-Elliott channels (GECs) is provided to demonstrate the derived results.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-015-0283-9