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Towards a performance theory of robust adaptive control

Towards a performance theory of robust adaptive control
Towards a performance theory of robust adaptive control
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 norm of the output, control and control derivative. If a bound on the L 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.
0890-6327
403-421
Sanei, A.
1bf0b514-f95a-488f-9621-d09a9fd207c4
French, M.
22958f0e-d779-4999-adf6-2711e2d910f8
Sanei, A.
1bf0b514-f95a-488f-9621-d09a9fd207c4
French, M.
22958f0e-d779-4999-adf6-2711e2d910f8

Sanei, A. and French, M. (2004) Towards a performance theory of robust adaptive control. International Journal of Adaptive Control and Signal Processing, 18 (4), 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 norm of the output, control and control derivative. If a bound on the L 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.

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Published date: 2004
Organisations: Southampton Wireless Group

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

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Date deposited: 11 Mar 2004
Last modified: 26 Jul 2018 16:31

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