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Control over Fading Channels

Sarmashghi, Shahabeddin | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47357 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Farhadi, Alireza; Motahari, Abolfazl
  7. Abstract:
  8. As latency reduction is a key objective of upcoming mobile standards such as 5G, control applications over such channels have become of high interest in recent years. In this thesis, we will consider the problem of control over fading channels modeled by finite-state Markov chains. We will combine communication and control theory aspects of the problem and study stability of linear discrete-time plants which communicate with the controller over such fading channels. Two different scenarios are assumed for channel state information availability at encoder side, and the sufficient condition of almost sure asymptotic stabilizability is derived for each scenario. We will then examine the transient behavior of system, and discuss that how systems controlled over fading channels, may have very poor transient performance despite their desirable asymptotic behavior. The key contribution of this thesis is to develop a measure for the transient behavior of system in terms of the probability of loss of control. We model the problem as a threshold crossing problem in random walks, and present an upper bound for the probability of exceeding a threshold for system state. Moreover, optimal power llocation with respect to channel and system states in order to achieve desired asymptotic and transient performance, is studied. These results are naturally quite valuable for designing control systems which are controlled remotely over fading channels
  9. Keywords:
  10. Wireless Communication ; Optimal Power Allocation ; Fading ; Network Control ; Asymptotic Stabilization ; Optimal Power Allocation ; Finite-state Makov Channels ; Linear Feedback Control Systems ; Transient Behavior

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