Robust stability of iterative learning control schemes

Corresponding Author

Mark French

[email protected]

School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, U.K.

School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, U.K.===Search for more papers by this author

Mark French,

Corresponding Author

Mark French

[email protected]

School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, U.K.

School of Electronics and Computer Science, University of Southampton, Southampton SO171BJ, U.K.===Search for more papers by this author

First published: 08 October 2007

https://doi.org/10.1002/rnc.1236

Citations: 12

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Abstract

A notion of robust stability is developed for iterative learning control in the context of disturbance attenuation. The size of the unmodelled dynamics is captured via a gap distance, which in turn is related to the standard ℋ︁² gap metric, and the resulting robustness certificate is qualitatively equivalent to that obtained in classical robust ℋ︁^∞ theory. A bound on the robust stability margin for a specific adaptive ILC design is established. Copyright © 2007 John Wiley & Sons, Ltd.

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Volume18, Issue10

Special Issue:Robust Iterative Learning Control: Theory and Experimental Verification

10 July 2008

Pages 1018-1033

Robust stability of iterative learning control schemes

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