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Stability of linear dynamic systems over the packet erasure channel: A co-design approach

Farhadi, A ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1080/00207179.2015.1048292
  3. Publisher: Taylor and Francis Ltd , 2015
  4. Abstract:
  5. This paper is concerned with the stability of linear time-invariant dynamic systems over the packet erasure channel subject to minimum bit rate constraint when an encoder and a decoder are unaware of the control signal. This assumption results in co-designing the encoder, decoder and controller. The encoder, decoder, controller and conditions relating transmission rate to packet erasure probability and eigenvalues of the system matrix A are presented for almost sure asymptotic stability of linear time-invariant dynamic systems over the packet erasure channel with feedback acknowledgment. When the eigenvalues of the system matrix A are real valued, it is shown that the obtained condition for stability is tight. Simulation result illustrates the satisfactory performance of the proposed encoder, decoder and controller for almost sure asymptotic stability
  6. Keywords:
  7. Asymptotic stability ; Channel coding ; Codes (symbols) ; Controllers ; Decoding ; Eigenvalues and eigenfunctions ; Linear control systems ; Matrix algebra ; Networked control systems ; Stability ; System stability ; Almost sure asymptotic stabilities ; Almost sure stability ; Bit rate constraint ; Co-design approach ; Linear dynamic system ; Linear time invariant ; Packet erasure channels ; Transmission rates ; Control system stability
  8. Source: International Journal of Control ; Volume 88, Issue 12 , May , 2015 , Pages 2488-2498 ; 00207179 (ISSN)
  9. URL: http://www.tandfonline.com/doi/full/10.1080/00207179.2015.1048292