Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems

Deyuan Meng; Yingmin Jia; Junping Du; Fashan Yu

doi:10.1109/CDC.2009.5399844

Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems

Deyuan Meng^*
, Yingmin Jia
, Junping Du
, Fashan Yu

^*此作品的通讯作者

自动化科学与电气工程学院

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

7 引用（Scopus）

摘要

This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the least upper bound of the ℒ₂-norm of the limit tracking error can be guaranteed less than the least upper bound of the ℒ₂-norm of the initial tracking error.

源语言	英语
主期刊名	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
出版商	Institute of Electrical and Electronics Engineers Inc.
页	4870-4875
页数	6
ISBN（印刷版）	9781424438716
DOI	https://doi.org/10.1109/CDC.2009.5399844
出版状态	已出版 - 2009
活动	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, 中国期限: 15 12月 2009 → 18 12月 2009

出版系列

姓名	Proceedings of the IEEE Conference on Decision and Control
ISSN（印刷版）	0743-1546
ISSN（电子版）	2576-2370

会议

会议	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
国家/地区	中国
市	Shanghai
时期	15/12/09 → 18/12/09

访问文件

10.1109/CDC.2009.5399844

其它文件与链接

链接到 Scopus 的出版物

引用此

Meng, D., Jia, Y., Du, J., & Yu, F. (2009). Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems. 在 Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (页码 4870-4875). 文章 5399844 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5399844

Meng, Deyuan ; Jia, Yingmin ; Du, Junping 等. / Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. 页码 4870-4875 (Proceedings of the IEEE Conference on Decision and Control).

@inproceedings{836d28a1be0f46a0834a9c31e8f58e29,

title = "Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems",

abstract = "This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the least upper bound of the ℒ2-norm of the limit tracking error can be guaranteed less than the least upper bound of the ℒ2-norm of the initial tracking error.",

keywords = "Anticipation in time, Frequency-domain approach, Iterative learning control, Time-delay systems",

author = "Deyuan Meng and Yingmin Jia and Junping Du and Fashan Yu",

year = "2009",

doi = "10.1109/CDC.2009.5399844",

language = "英语",

isbn = "9781424438716",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4870--4875",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

address = "美国",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

}

Meng, D , Jia, Y, Du, J & Yu, F 2009, Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems. 在 Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5399844, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., 页码 4870-4875, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, 中国, 15/12/09. https://doi.org/10.1109/CDC.2009.5399844

Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems. / Meng, Deyuan ; Jia, Yingmin; Du, Junping 等.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. 页码 4870-4875 5399844 (Proceedings of the IEEE Conference on Decision and Control).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems

AU - Meng, Deyuan

AU - Jia, Yingmin

AU - Du, Junping

AU - Yu, Fashan

PY - 2009

Y1 - 2009

N2 - This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the least upper bound of the ℒ2-norm of the limit tracking error can be guaranteed less than the least upper bound of the ℒ2-norm of the initial tracking error.

AB - This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the least upper bound of the ℒ2-norm of the limit tracking error can be guaranteed less than the least upper bound of the ℒ2-norm of the initial tracking error.

KW - Anticipation in time

KW - Frequency-domain approach

KW - Iterative learning control

KW - Time-delay systems

UR - https://www.scopus.com/pages/publications/77950832750

U2 - 10.1109/CDC.2009.5399844

DO - 10.1109/CDC.2009.5399844

M3 - 会议稿件

AN - SCOPUS:77950832750

SN - 9781424438716

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4870

EP - 4875

BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

Y2 - 15 December 2009 through 18 December 2009

ER -

Meng D , Jia Y, Du J, Yu F. Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems. 在 Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. 页码 4870-4875. 5399844. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5399844

Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems

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