SUBSPACE IDENTIFICATION USING THE PARITY SPACE

Jin Wang; S. Joe Qin

doi:10.1016/S1474-6670(17)31825-6

SUBSPACE IDENTIFICATION USING THE PARITY SPACE

Jin Wang
, S. Joe Qin

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

It is known that most subspace identification algorithms give biased estimates for closed-loop data due to a projection performed in the algorithms. In this work, consistency analysis of SIMPCA is given and the exact input requirement is formulated. The effect of column weighting in subspace identification algorithms is discussed and the column weighting for SIMPCA is designed which gives consistent estimates of state-space models from both open loop and closed-loop data. A simulation example is given to demonstrate the performance of the proposed algorithm.

Original language	English
Title of host publication	Dynamics and Control of Process Systems 2004 (DYCOPS -7)
Subtitle of host publication	A Proceedings volume from the 7^th IFAC Symposium
Editors	Sirish L. Shah, John MacGregor
Publisher	Elsevier Ltd.
Pages	287-292
Volume	1
ISBN (Print)	0080442978
DOIs	https://doi.org/10.1016/S1474-6670(17)31825-6
Publication status	Published - Jul 2004
Externally published	Yes
Event	7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004 - Cambridge, United States Duration: 5 Jul 2004 → 7 Jul 2004

Publication series

Name	IFAC Proceedings Volumes
Number	9
Volume	37
ISSN (Print)	1474-6670

Conference

Conference	7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004
Place	United States
City	Cambridge
Period	5/07/04 → 7/07/04

Funding

1 Supported by NSF under CTS-9985074 and an Overseas Young Investigator Award (60228001) from NSF China

Research Keywords

Closed-loop identification
Consistency analysis
Instrumental variables
Parity space
Principal component analysis
Subspace identification

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10.1016/S1474-6670(17)31825-6

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@inproceedings{d3b4bde93cc14e4d8b68a76a5594f584,

title = "SUBSPACE IDENTIFICATION USING THE PARITY SPACE",

abstract = "It is known that most subspace identification algorithms give biased estimates for closed-loop data due to a projection performed in the algorithms. In this work, consistency analysis of SIMPCA is given and the exact input requirement is formulated. The effect of column weighting in subspace identification algorithms is discussed and the column weighting for SIMPCA is designed which gives consistent estimates of state-space models from both open loop and closed-loop data. A simulation example is given to demonstrate the performance of the proposed algorithm.",

keywords = "Closed-loop identification, Consistency analysis, Instrumental variables, Parity space, Principal component analysis, Subspace identification",

author = "Jin Wang and \{Joe Qin\}, S.",

year = "2004",

month = jul,

doi = "10.1016/S1474-6670(17)31825-6",

language = "English",

isbn = "0080442978",

volume = "1",

series = "IFAC Proceedings Volumes ",

publisher = "Elsevier Ltd.",

number = "9",

pages = "287--292",

editor = "Shah, \{Sirish L.\} and John MacGregor",

booktitle = "Dynamics and Control of Process Systems 2004 (DYCOPS -7)",

address = "United Kingdom",

note = "7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004 ; Conference date: 05-07-2004 Through 07-07-2004",

}

Wang, J & Joe Qin, S 2004, SUBSPACE IDENTIFICATION USING THE PARITY SPACE. in SL Shah & J MacGregor (eds), Dynamics and Control of Process Systems 2004 (DYCOPS -7): A Proceedings volume from the 7^th IFAC Symposium . vol. 1, IFAC Proceedings Volumes , no. 9, vol. 37, Elsevier Ltd., pp. 287-292, 7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004, Cambridge, United States, 5/07/04. https://doi.org/10.1016/S1474-6670(17)31825-6

SUBSPACE IDENTIFICATION USING THE PARITY SPACE. / Wang, Jin; Joe Qin, S.
Dynamics and Control of Process Systems 2004 (DYCOPS -7): A Proceedings volume from the 7^th IFAC Symposium . ed. / Sirish L. Shah; John MacGregor. Vol. 1 Elsevier Ltd., 2004. p. 287-292 (IFAC Proceedings Volumes ; Vol. 37, No. 9).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - SUBSPACE IDENTIFICATION USING THE PARITY SPACE

AU - Wang, Jin

AU - Joe Qin, S.

PY - 2004/7

Y1 - 2004/7

N2 - It is known that most subspace identification algorithms give biased estimates for closed-loop data due to a projection performed in the algorithms. In this work, consistency analysis of SIMPCA is given and the exact input requirement is formulated. The effect of column weighting in subspace identification algorithms is discussed and the column weighting for SIMPCA is designed which gives consistent estimates of state-space models from both open loop and closed-loop data. A simulation example is given to demonstrate the performance of the proposed algorithm.

AB - It is known that most subspace identification algorithms give biased estimates for closed-loop data due to a projection performed in the algorithms. In this work, consistency analysis of SIMPCA is given and the exact input requirement is formulated. The effect of column weighting in subspace identification algorithms is discussed and the column weighting for SIMPCA is designed which gives consistent estimates of state-space models from both open loop and closed-loop data. A simulation example is given to demonstrate the performance of the proposed algorithm.

KW - Closed-loop identification

KW - Consistency analysis

KW - Instrumental variables

KW - Parity space

KW - Principal component analysis

KW - Subspace identification

UR - https://www.scopus.com/pages/publications/85083268519

UR - https://www.scopus.com/pages/publications/85083268519#tab=impact

U2 - 10.1016/S1474-6670(17)31825-6

DO - 10.1016/S1474-6670(17)31825-6

M3 - RGC 32 - Refereed conference paper (with host publication)

AN - SCOPUS:85083268519

SN - 0080442978

VL - 1

T3 - IFAC Proceedings Volumes

SP - 287

EP - 292

BT - Dynamics and Control of Process Systems 2004 (DYCOPS -7)

A2 - Shah, Sirish L.

A2 - MacGregor, John

PB - Elsevier Ltd.

T2 - 7th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS 2004

Y2 - 5 July 2004 through 7 July 2004

ER -

SUBSPACE IDENTIFICATION USING THE PARITY SPACE

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