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# Gap Metric Robustness of Adaptive Controllers

French, Mark (2002) Gap Metric Robustness of Adaptive Controllers. At Mathematical Theory of Networks and Systems Mathematical Theory of Networks and Systems.

Record type: Conference or Workshop Item (Paper)

## Abstract

We consider the construction of adaptive controllers for minimum phase linear systems which achieve non-zero robustness margins in the sense of the (linear) $L^2[0,\infty)$ gap metric. The gap perturbations may be more constrained for larger disturbances and for larger parametric uncertainty. Working within the framework of the nonlinear gap metric [3], universal adaptive controllers are first given achieving this goal for first order plants, and the results are then generalised to relative degree one, minimum phase plants.

PDF mtns02final.pdf - Accepted Manuscript

Published date: 2002
Venue - Dates: Mathematical Theory of Networks and Systems, 2002-01-01
Organisations: Southampton Wireless Group

## Identifiers

Local EPrints ID: 266901
URI: https://eprints.soton.ac.uk/id/eprint/266901
PURE UUID: 70a3d4de-f72a-43bc-95d9-105d92de7bee

## Catalogue record

Date deposited: 10 Nov 2008 12:51

## Contributors

Author: Mark French