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A Data-Rate Limited View of Adaptive Control

Zhang, Geordie Z ; Nair, G ; Evans, R J and Wittenmark, Björn LU (2006) 14th IFAC Symposium on System Identification p.1049-1053
Abstract
This paper addresses the problem of adaptively controlling a plant with unknown parameters using communication-limited feedback. Assuming known dynamics, expressions have recently been obtained for the minimum average feedback data rate required for asymptotic stabilisability. The main purpose of this work is to demonstrate that this minimum rate does not increase if the plant parameters are unknown, and the key elements of a stabilizing, minimum-rate policy are explicitly discussed. By regarding the uncertain plant as a higher-dimensional, nonlinear plant with unknown initial condition, it is shown that this result agrees with the recent concept of local topological feedback entropy. Extensions to the case of uncertain nonlinear plants... (More)
This paper addresses the problem of adaptively controlling a plant with unknown parameters using communication-limited feedback. Assuming known dynamics, expressions have recently been obtained for the minimum average feedback data rate required for asymptotic stabilisability. The main purpose of this work is to demonstrate that this minimum rate does not increase if the plant parameters are unknown, and the key elements of a stabilizing, minimum-rate policy are explicitly discussed. By regarding the uncertain plant as a higher-dimensional, nonlinear plant with unknown initial condition, it is shown that this result agrees with the recent concept of local topological feedback entropy. Extensions to the case of uncertain nonlinear plants are discussed. (Less)
Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
adaptive control, data-rate limited control, entropy
host publication
Preprints 14th IFAC Symposium on System Identification
pages
5 pages
publisher
Elsevier
conference name
14th IFAC Symposium on System Identification
conference location
Newcastle, Australia
conference dates
0001-01-02
DOI
10.3182/20060329-3-AU-2901.00178
language
English
LU publication?
yes
id
350da769-fc56-4fd6-b71c-eeb0730cead1 (old id 637684)
date added to LUP
2016-04-04 13:25:54
date last changed
2021-09-17 14:27:54
@inproceedings{350da769-fc56-4fd6-b71c-eeb0730cead1,
  abstract     = {This paper addresses the problem of adaptively controlling a plant with unknown parameters using communication-limited feedback. Assuming known dynamics, expressions have recently been obtained for the minimum average feedback data rate required for asymptotic stabilisability. The main purpose of this work is to demonstrate that this minimum rate does not increase if the plant parameters are unknown, and the key elements of a stabilizing, minimum-rate policy are explicitly discussed. By regarding the uncertain plant as a higher-dimensional, nonlinear plant with unknown initial condition, it is shown that this result agrees with the recent concept of local topological feedback entropy. Extensions to the case of uncertain nonlinear plants are discussed.},
  author       = {Zhang, Geordie Z and Nair, G and Evans, R J and Wittenmark, Björn},
  booktitle    = {Preprints 14th  IFAC Symposium on System Identification},
  language     = {eng},
  pages        = {1049--1053},
  publisher    = {Elsevier},
  title        = {A Data-Rate Limited View of Adaptive Control},
  url          = {http://dx.doi.org/10.3182/20060329-3-AU-2901.00178},
  doi          = {10.3182/20060329-3-AU-2901.00178},
  year         = {2006},
}