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Optimal Linear Control for Channels with Signal-to-Noise Ratio Constraints

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Author

Summary, in English

We consider the problem of stabilizing and minimizing the disturbance response of a SISO LTI plant, subject to a stochastic disturbance, over an analog communication channel with additive white noise and a signal-to-noise ratio (SNR) constraint. The controller is linear, based on output feedback and has a structure with two degrees of freedom: One part represents sensing and encoding operations and the other part represents decoding and issuing the control signal. It is shown that the problem of simultaneously designing the two optimal controller parts can be solved in two stages: First a functional depending both on the 1- and 2-norms of the Youla parameter is minimized. This minimization can be arbitrarily well approximated by a quasiconvex program. The second stage consists of a spectral factorization.

Publishing year

2011

Language

English

Pages

521-526

Document type

Conference paper

Topic

  • Control Engineering

Keywords

  • networked control
  • analog channel
  • SNR

Conference name

American Control Conference, 2011

Conference date

2011-06-29 - 2011-07-01

Conference place

San Francisco, California, United States

Status

Published

Project

  • CHAT
  • LCCC-distributed
  • LCCC

Research group

  • LCCC