Synthesis of run-to-run repetitive control methods using finite impulse response models

Kwang Soon Lee; Wangyun Won; Jay H. Lee

doi:10.1016/j.jprocont.2008.03.001

Synthesis of run-to-run repetitive control methods using finite impulse response models

Kwang Soon Lee
, Wangyun Won
, Jay H. Lee

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper presents linear quadratic (LQ) repetitive control (RC) methods for processes represented by a conventional FIR model and a circulant FIR model. The latter, which represents a FIR system under the assumption of a cyclic steady state, is named as such as its input-output map is represented by a circulant matrix. Using the complete frequency resolving property of a circulant matrix, a special tuning method for the LQ weights is proposed. Performance of the proposed method is investigated through numerical examples.

Original language	English
Pages (from-to)	364-369
Number of pages	6
Journal	Journal of Process Control
Volume	19
Issue number	2
DOIs	https://doi.org/10.1016/j.jprocont.2008.03.001
Publication status	Published - Feb 2009

Bibliographical note

Funding Information:
K.S. Lee and W.Y Won would like to acknowledge the financial support from the Korea Research Foundation through the Second Stage Brain Korea Program. JHL acknowledges the financial support from LGChem and Owens Corning.

Keywords

Circulant matrix
FIR model
Repetitive control
Repetitive process

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10.1016/j.jprocont.2008.03.001

Cite this

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title = "Synthesis of run-to-run repetitive control methods using finite impulse response models",

abstract = "This paper presents linear quadratic (LQ) repetitive control (RC) methods for processes represented by a conventional FIR model and a circulant FIR model. The latter, which represents a FIR system under the assumption of a cyclic steady state, is named as such as its input-output map is represented by a circulant matrix. Using the complete frequency resolving property of a circulant matrix, a special tuning method for the LQ weights is proposed. Performance of the proposed method is investigated through numerical examples.",

keywords = "Circulant matrix, FIR model, Repetitive control, Repetitive process",

author = "Lee, \{Kwang Soon\} and Wangyun Won and Lee, \{Jay H.\}",

note = "Funding Information: K.S. Lee and W.Y Won would like to acknowledge the financial support from the Korea Research Foundation through the Second Stage Brain Korea Program. JHL acknowledges the financial support from LGChem and Owens Corning.",

year = "2009",

month = feb,

doi = "10.1016/j.jprocont.2008.03.001",

language = "English",

volume = "19",

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journal = "Journal of Process Control",

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T1 - Synthesis of run-to-run repetitive control methods using finite impulse response models

AU - Lee, Kwang Soon

AU - Won, Wangyun

AU - Lee, Jay H.

N1 - Funding Information: K.S. Lee and W.Y Won would like to acknowledge the financial support from the Korea Research Foundation through the Second Stage Brain Korea Program. JHL acknowledges the financial support from LGChem and Owens Corning.

PY - 2009/2

Y1 - 2009/2

N2 - This paper presents linear quadratic (LQ) repetitive control (RC) methods for processes represented by a conventional FIR model and a circulant FIR model. The latter, which represents a FIR system under the assumption of a cyclic steady state, is named as such as its input-output map is represented by a circulant matrix. Using the complete frequency resolving property of a circulant matrix, a special tuning method for the LQ weights is proposed. Performance of the proposed method is investigated through numerical examples.

AB - This paper presents linear quadratic (LQ) repetitive control (RC) methods for processes represented by a conventional FIR model and a circulant FIR model. The latter, which represents a FIR system under the assumption of a cyclic steady state, is named as such as its input-output map is represented by a circulant matrix. Using the complete frequency resolving property of a circulant matrix, a special tuning method for the LQ weights is proposed. Performance of the proposed method is investigated through numerical examples.

KW - Circulant matrix

KW - FIR model

KW - Repetitive control

KW - Repetitive process

UR - https://www.scopus.com/pages/publications/58749100892

U2 - 10.1016/j.jprocont.2008.03.001

DO - 10.1016/j.jprocont.2008.03.001

M3 - Article

AN - SCOPUS:58749100892

SN - 0959-1524

VL - 19

SP - 364

EP - 369

JO - Journal of Process Control

JF - Journal of Process Control

IS - 2

ER -

Synthesis of run-to-run repetitive control methods using finite impulse response models

Abstract

Bibliographical note

Keywords

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