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Accelerated norm-optimal iterative learning control

Accelerated norm-optimal iterative learning control
Accelerated norm-optimal iterative learning control
This paper proposes a novel technique for accelerating the convergence of the previously published norm-optimal iterative learning control (NOILC) methodology. The basis of the results is a formal proof of an observation made by the first author, namely that the NOILC algorithm is equivalent to a successive projection algorithm between linear varieties in a suitable product Hilbert space. This leads to two proposed accelerated algorithms together with well-defined convergence properties. The results show that the proposed accelerated algorithms are capable of ensuring monotonic error norm reductions and can outperform NOILC by more rapid reductions in error norm from iteration to iteration. In particular, examples indicate that the approach can improve the performance of NOILC for the problematic case of non-minimum phase systems. Realisation of the algorithms is discussed and numerical simulations are provided for comparative purposes and to demonstrate the numerical performance and effectiveness of the proposed methods.
1756-8412
4-18
Owens, D.H.
3452e9bb-d3bd-4995-b4bb-424bbd288b09
Chu, B.
555a86a5-0198-4242-8525-3492349d4f0f
Owens, D.H.
3452e9bb-d3bd-4995-b4bb-424bbd288b09
Chu, B.
555a86a5-0198-4242-8525-3492349d4f0f

Owens, D.H. and Chu, B. (2010) Accelerated norm-optimal iterative learning control. International Journal of Advanced Mechatronic Systems, 2 (1/2), 4-18. (doi:10.1504/IJAMECHS.2010.030844).

Record type: Article

Abstract

This paper proposes a novel technique for accelerating the convergence of the previously published norm-optimal iterative learning control (NOILC) methodology. The basis of the results is a formal proof of an observation made by the first author, namely that the NOILC algorithm is equivalent to a successive projection algorithm between linear varieties in a suitable product Hilbert space. This leads to two proposed accelerated algorithms together with well-defined convergence properties. The results show that the proposed accelerated algorithms are capable of ensuring monotonic error norm reductions and can outperform NOILC by more rapid reductions in error norm from iteration to iteration. In particular, examples indicate that the approach can improve the performance of NOILC for the problematic case of non-minimum phase systems. Realisation of the algorithms is discussed and numerical simulations are provided for comparative purposes and to demonstrate the numerical performance and effectiveness of the proposed methods.

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More information

Published date: January 2010
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 336254
URI: http://eprints.soton.ac.uk/id/eprint/336254
ISSN: 1756-8412
PURE UUID: 99ba02f6-8671-4ce0-a4a4-0c46e9739dd0
ORCID for B. Chu: ORCID iD orcid.org/0000-0002-2711-8717

Catalogue record

Date deposited: 20 Mar 2012 12:19
Last modified: 09 Jan 2022 03:39

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Contributors

Author: D.H. Owens
Author: B. Chu ORCID iD

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