A Data-Rate Limited View of Adaptive Control
(2006) 14th IFAC Symposium on Identification and System Parameter Estimation 39:1. 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:
https://lup.lub.lu.se/record/637684
- author
- Zhang, Geordie Z ; Nair, G ; Evans, R J and Wittenmark, Björn LU
- organization
- publishing date
- 2006
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- adaptive control, data-rate limited control, entropy
- host publication
- IFAC Proceedings Volumes : 14th IFAC Symposium on Identification and System Parameter Estimation - 14th IFAC Symposium on Identification and System Parameter Estimation
- volume
- 39:1
- pages
- 5 pages
- publisher
- Elsevier
- conference name
- 14th IFAC Symposium on Identification and System Parameter Estimation
- conference location
- Newcastle, Australia
- conference dates
- 2006-03-29 - 2006-03-31
- 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
- 2022-05-26 18:38:10
@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 = {{IFAC Proceedings Volumes : 14th IFAC Symposium on Identification and System Parameter Estimation}},
keywords = {{adaptive control; data-rate limited control; entropy}},
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}},
volume = {{39:1}},
year = {{2006}},
}