A Data-Rate Limited View of Adaptive Control

Geordie Z Zhang; G Nair; R J Evans; Björn Wittenmark

doi:10.3182/20060329-3-AU-2901.00178

A Data-Rate Limited View of Adaptive Control

Geordie Z Zhang, G Nair, R J Evans, Björn Wittenmark

Department of Automatic Control

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	IFAC Proceedings Volumes
Subtitle of host publication	14th IFAC Symposium on Identification and System Parameter Estimation
Publisher	Elsevier
Pages	1049-1053
Number of pages	5
Volume	39:1
DOIs	https://doi.org/10.3182/20060329-3-AU-2901.00178
Publication status	Published - 2006
Event	14th IFAC Symposium on Identification and System Parameter Estimation - Newcastle, Australia Duration: 2006 Mar 29 → 2006 Mar 31

Conference

Conference	14th IFAC Symposium on Identification and System Parameter Estimation
Abbreviated title	SYSID2006
Country/Territory	Australia
City	Newcastle
Period	2006/03/29 → 2006/03/31

Subject classification (UKÄ)

Control Engineering

Free keywords

adaptive control
data-rate limited control
entropy

Access to Document

10.3182/20060329-3-AU-2901.00178

Cite this

@inproceedings{350da769fc564fd6b71ceeb0730cead1,

title = "A Data-Rate Limited View of Adaptive Control",

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.",

keywords = "adaptive control, data-rate limited control, entropy",

author = "Zhang, {Geordie Z} and G Nair and Evans, {R J} and Bj{\"o}rn Wittenmark",

year = "2006",

doi = "10.3182/20060329-3-AU-2901.00178",

language = "English",

volume = "39:1",

pages = "1049--1053",

booktitle = "IFAC Proceedings Volumes",

publisher = "Elsevier",

address = "United States",

note = "14th IFAC Symposium on Identification and System Parameter Estimation, SYSID2006 ; Conference date: 29-03-2006 Through 31-03-2006",

}

Zhang, GZ, Nair, G, Evans, RJ & Wittenmark, B 2006, A Data-Rate Limited View of Adaptive Control. in IFAC Proceedings Volumes: 14th IFAC Symposium on Identification and System Parameter Estimation. vol. 39:1, Elsevier, pp. 1049-1053, 14th IFAC Symposium on Identification and System Parameter Estimation, Newcastle, Australia, 2006/03/29. https://doi.org/10.3182/20060329-3-AU-2901.00178

TY - GEN

T1 - A Data-Rate Limited View of Adaptive Control

AU - Zhang, Geordie Z

AU - Nair, G

AU - Evans, R J

AU - Wittenmark, Björn

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - adaptive control

KW - data-rate limited control

KW - entropy

U2 - 10.3182/20060329-3-AU-2901.00178

DO - 10.3182/20060329-3-AU-2901.00178

M3 - Paper in conference proceeding

VL - 39:1

SP - 1049

EP - 1053

BT - IFAC Proceedings Volumes

PB - Elsevier

T2 - 14th IFAC Symposium on Identification and System Parameter Estimation

Y2 - 29 March 2006 through 31 March 2006

ER -

A Data-Rate Limited View of Adaptive Control

Abstract

Conference

Subject classification (UKÄ)

Free keywords

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Cite this