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

Johannesson, Erik LU ; Rantzer, Anders LU and Bernhardsson, Bo LU (2011) American Control Conference, 2011 p.521-526
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
networked control, analog channel, SNR
pages
521 - 526
conference name
American Control Conference, 2011
external identifiers
  • WOS:000295376001006
  • Scopus:80053138979
project
LCCC-distributed
CHAT
LCCC
language
English
LU publication?
yes
id
b45a934f-290c-48e5-be8a-86f337b8aa6a (old id 2203189)
date added to LUP
2011-11-08 11:15:58
date last changed
2017-02-19 04:36:27
@misc{b45a934f-290c-48e5-be8a-86f337b8aa6a,
  abstract     = {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.},
  author       = {Johannesson, Erik and Rantzer, Anders and Bernhardsson, Bo},
  keyword      = {networked control,analog channel,SNR},
  language     = {eng},
  pages        = {521--526},
  title        = {Optimal Linear Control for Channels with Signal-to-Noise Ratio Constraints},
  year         = {2011},
}