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# Towards a performance theory of robust adaptive control

Sanei, A. and French, M. (2004) Towards a performance theory of robust adaptive control International Journal of Adaptive Control and Signal Processing, 18, (4), pp. 403-421.

Record type: Article

## Abstract

We consider standard robust adaptive control designs based on the dead-zone and projection modifications, and compare their performance w.r.t. a worst case transient cost functional penalising the $L^\infty$ norm of the output, control and control derivative. If a bound on the $L^\infty$ norm of the disturbance is known, it is shown that the dead-zone controller outperforms the projection controller if the a-priori information on the uncertainty level is sufficiently conservative. The second result shows that the projection controller is superior to the dead-zone controller when the a-priori information on the disturbance level is sufficiently conservative. For conceptual clarity the results are presented on a nonlinear scalar system with a single uncertain parameter and generalisations are briefly discussed.

PDF saneimcf_ijacsup2004b.pdf - Other

Published date: 2004
Organisations: Southampton Wireless Group

## Identifiers

Local EPrints ID: 259068
URI: http://eprints.soton.ac.uk/id/eprint/259068
ISSN: 0890-6327
PURE UUID: 0b5ed4f5-503b-4f2c-98c7-85ce7cf61280

## Catalogue record

Date deposited: 11 Mar 2004

## Contributors

Author: A. Sanei
Author: M. French

## University divisions

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