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Tracking and Stability of Linear Gaussian Systems over AWGN Channel with Feedback Channel

Mashhadi Najafi, Shayan | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46757 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Farhadi, Alireza
  7. Abstract:
  8. The following thesis is concerned with the effect of channel feedback in tracking and stability of linear Gaussian systems over Additive White Gaussian Noise (AWGN) channel when the decoder is the Kalman filter and encoder is the innovation encoder. When the feedback channel is described by a noisy link or a random switch, it is shown that stability is not possible for unstable systems. But for stable systems, an innovation encoder, Kalman filter decoder and a certainly equivalent controller for tracking and stability are presented. When the feedback channel is described by a deterministic switch, for both stable and unstable systems, an innovation encoder, Kalman filter decoder and a certainly equivalent controller are presented for tracking and stability over AWGN channel provided channel input power constraint is not violated. For the case of deterministic switch, it is shown that when feedback channel is not frequently available and the dynamic system is unstable, the channel input power constraint is violated; and consequently, tracking and stability are not achieved using the proposed encoder, decoder and controller. It is also shown that when feedback channel is frequently available, control performance is similar to the performance of the case with full time availability of feedback channel. Therefore, it is concluded that, almost nothing is lost in terms of performance if feedback channel is used intermittently instead of using it full time which is expensive
  9. Keywords:
  10. Tracking ; Stabilization ; Additive with Guassian Noise (AWGN)Channels ; Linear Gussian Estimator ; Channel Feedback

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