A convergence analysis of D-ILC algorithm

Inam Ul Hasan Shaikh; Martin Brown

doi:10.1109/CONTROL.2012.6334728

A convergence analysis of D-ILC algorithm

Inam Ul Hasan Shaikh, Martin Brown

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

ILC is an emerging technique for learning control. The D-ILC algorithm is the generic ILC scheme which captures the error trend of a batch to update the control input for the next batch or batches. The 2-dimensional nature requires in-depth convergence analysis of the algorithm. This paper addresses these issues in detail. This paper deals with the convergence properties of ILC algorithms with emphasis on control input. Discrete-time linear state space representation of a linear time-invariant system has been considered along with usual assumptions which ensure D-type ILC algorithm converges in terms of output error. The convergence for control input sequence is investigated up to component level. © 2012 IEEE.

Original language	English
Title of host publication	Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012\|Proc. UKACC Int. Conf. Control, CONTROL
Pages	778-783
Number of pages	5
DOIs	https://doi.org/10.1109/CONTROL.2012.6334728
Publication status	Published - 2012
Event	2012 UKACC International Conference on Control, CONTROL 2012 - Cardiff, United Kingdom Duration: 3 Sept 2012 → 5 Sept 2012

Conference

Conference	2012 UKACC International Conference on Control, CONTROL 2012
Country/Territory	United Kingdom
City	Cardiff
Period	3/09/12 → 5/09/12

Keywords

Iterative Learning Control
Rate of Convergence

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10.1109/CONTROL.2012.6334728

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title = "A convergence analysis of D-ILC algorithm",

abstract = "ILC is an emerging technique for learning control. The D-ILC algorithm is the generic ILC scheme which captures the error trend of a batch to update the control input for the next batch or batches. The 2-dimensional nature requires in-depth convergence analysis of the algorithm. This paper addresses these issues in detail. This paper deals with the convergence properties of ILC algorithms with emphasis on control input. Discrete-time linear state space representation of a linear time-invariant system has been considered along with usual assumptions which ensure D-type ILC algorithm converges in terms of output error. The convergence for control input sequence is investigated up to component level. {\textcopyright} 2012 IEEE.",

keywords = "Iterative Learning Control, Rate of Convergence",

author = "Shaikh, {Inam Ul Hasan} and Martin Brown",

year = "2012",

doi = "10.1109/CONTROL.2012.6334728",

language = "English",

isbn = "9781467315609",

pages = "778--783",

booktitle = "Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012|Proc. UKACC Int. Conf. Control, CONTROL",

note = "2012 UKACC International Conference on Control, CONTROL 2012 ; Conference date: 03-09-2012 Through 05-09-2012",

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T1 - A convergence analysis of D-ILC algorithm

AU - Shaikh, Inam Ul Hasan

AU - Brown, Martin

PY - 2012

Y1 - 2012

N2 - ILC is an emerging technique for learning control. The D-ILC algorithm is the generic ILC scheme which captures the error trend of a batch to update the control input for the next batch or batches. The 2-dimensional nature requires in-depth convergence analysis of the algorithm. This paper addresses these issues in detail. This paper deals with the convergence properties of ILC algorithms with emphasis on control input. Discrete-time linear state space representation of a linear time-invariant system has been considered along with usual assumptions which ensure D-type ILC algorithm converges in terms of output error. The convergence for control input sequence is investigated up to component level. © 2012 IEEE.

AB - ILC is an emerging technique for learning control. The D-ILC algorithm is the generic ILC scheme which captures the error trend of a batch to update the control input for the next batch or batches. The 2-dimensional nature requires in-depth convergence analysis of the algorithm. This paper addresses these issues in detail. This paper deals with the convergence properties of ILC algorithms with emphasis on control input. Discrete-time linear state space representation of a linear time-invariant system has been considered along with usual assumptions which ensure D-type ILC algorithm converges in terms of output error. The convergence for control input sequence is investigated up to component level. © 2012 IEEE.

KW - Iterative Learning Control

KW - Rate of Convergence

U2 - 10.1109/CONTROL.2012.6334728

DO - 10.1109/CONTROL.2012.6334728

M3 - Conference contribution

SN - 9781467315609

SP - 778

EP - 783

BT - Proceedings of the 2012 UKACC International Conference on Control, CONTROL 2012|Proc. UKACC Int. Conf. Control, CONTROL

T2 - 2012 UKACC International Conference on Control, CONTROL 2012

Y2 - 3 September 2012 through 5 September 2012

ER -

A convergence analysis of D-ILC algorithm

Abstract

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Keywords

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