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Nonlinear Iterative Learning by an Adaptive Lyapunov Technique

French, M. and Rogers, E. (2000) Nonlinear Iterative Learning by an Adaptive Lyapunov Technique International Journal of Control, 73, (10), pp. 840-850.

Record type: Article

Abstract

We consider the iterative learning control problem from an adaptive control viewpoint. It is shown that many standard adaptive designs can be modified in a straightforward manner to give a solution to either the feedback or feedforward ILC problem. In particular, we show that many of the common assumptions of nonlinear iterative learning control can be relaxed, eg. we relax the common linear growth assumption on the nonlinearities and handle systems of arbitrary relative degree. Furthermore it is shown that these new ILC designs have the power to solve a new ILC problem: the learning of unseen trajectories (generalization). It is shown that generally a linear rate of convergence of the MSE can be achieved, and some simple robustness analyses are given. For linear plants we show that a linear arte of MSE convergence can be achieved for non-minimum phase plants.

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Published date: 2000
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 252226
URI: http://eprints.soton.ac.uk/id/eprint/252226
PURE UUID: acf9d011-a535-4934-9580-bf7bd06eae24

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Date deposited: 22 Sep 2000
Last modified: 24 Jul 2017 16:42

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Contributors

Author: M. French
Author: E. Rogers

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