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Improving control performance across AWGN channels using a relay node

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  • Utsaw Kumar
  • Jie Liu
  • Vijay Gupta
  • J. Nicholas Laneman

Abstract

Consider an unstable linear time-invariant system in which the sensor transmits information to a controller across an additive white Gaussian noise channel. The designer can optionally utilise a relay node to assist the controller; however, the total transmission power consumed by the sensor and the relay node is constant. We consider two topologies: (1) a Gaussian relay channel and (2) a cascade of two Gaussian point-to-point channels. We propose coding schemes and present sufficient conditions for the stabilisability of the plant through such schemes. The analysis suggests that it is useful to utilise a relay node, even if the total transmission power remains the same.

Suggested Citation

  • Utsaw Kumar & Jie Liu & Vijay Gupta & J. Nicholas Laneman, 2014. "Improving control performance across AWGN channels using a relay node," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1579-1588, July.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1579-1588
    DOI: 10.1080/00207721.2013.876683
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