Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control


French, M., Szepesvari, Cs. and Rogers, E. (1997) Uncertainty, Performance, and Model Dependency in Approximate Adaptive Nonlinear Control. Proceedings of the 1997 IEEE Conference on Decision and Control IEEE, 3046-3051.

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Description/Abstract

We first consider systems satisfying a matching condition which are functionally known up to a L2 measure of uncertainty. A modified L2 measure of transient performance is given, and the performance of a class of model based adaptive controllers is studied. An upper performance bound is derived in terms of the uncertainty measure. The gain of the adaption mechanism is then fixed. Asymptotic analyses of the bounds under increasing model resolution are undertaken, and a sufficient condition on the Gram matrix of the bases of the models is given that ensures that the performance bounds are asymptotically independant of the `size' of the model. Corresponding results can also be obtained for strict feedback systems, and this is briefly sketched, and some further developments are noted.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: Organisation: IEEE Address: San Diego, CA
Divisions: Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Comms, Signal Processing & Control
ePrint ID: 250018
Date Deposited: 25 Aug 1999
Last Modified: 27 Mar 2014 19:50
Further Information:Google Scholar
ISI Citation Count:0
URI: http://eprints.soton.ac.uk/id/eprint/250018

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