Feedback Stabilization in the Presence of Fading Channels

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Abstract

In this paper we analyze two classes of analog fading channels placed at the input of the plant. Based on previous results, finding a linear controller that provides Mean Square stability of the closed loop through the channel is equivalent to a robust control synthesis problem, where the nominal generalized plant is deterministic, and the stochastic variables in the channel model are represented as model uncertainty. We show that a FIR AWGN channel with Gaussian coefficients leads to a rank-one (convex) problem, which can be easily solved to find the largest variance of the channel coefficients tolerable by an LTI controller. For a channel which allows for with delays and erasure, we compute the channel probabilities for which Mean Square stability can be provided by an LTI controller.

Original languageEnglish (US)
Pages (from-to)4438-4443
Number of pages6
JournalProceedings of the American Control Conference
Volume5
StatePublished - Nov 7 2003
Externally publishedYes
Event2003 American Control Conference - Denver, CO, United States
Duration: Jun 4 2003Jun 6 2003

Keywords

  • Control over the internet
  • Fading channels
  • Mean square stability robustness
  • Quality of Service

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