Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach

Dong Zhao; Youqing Wang; Bin Zhang

doi:10.1109/ChiCC.2014.6895965

Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach

Dong Zhao^*
, Youqing Wang
, Bin Zhang

^*Corresponding author for this work

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

2 Scopus citations

Abstract

This paper considers the problem of estimating the state and unknown input simultaneously for 2-D Fornasini-Marchesini system with unknown input in both state and measurement equations. The problem is solved by using descriptor system approach and then an asymptotically convergent observer was designed. Two cases, the gain matrix for the unknown input in measurement equation is not and/or is of full column rank, have been discussed. For these two cases, the corresponding sufficient and necessary condition and sufficient condition for the existence of the asymptotical observers are presented and proved in terms of rank condition, respectively. A numerical example is provided to illustrate the convergence properties of the observers and the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Editors	Shengyuan Xu, Qianchuan Zhao
Publisher	IEEE Computer Society
Pages	5979-5984
Number of pages	6
ISBN (Electronic)	9789881563842
DOIs	https://doi.org/10.1109/ChiCC.2014.6895965
State	Published - 11 Sep 2014
Externally published	Yes
Event	Proceedings of the 33rd Chinese Control Conference, CCC 2014 - Nanjing, China Duration: 28 Jul 2014 → 30 Jul 2014

Publication series

Name	Proceedings of the 33rd Chinese Control Conference, CCC 2014
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	Proceedings of the 33rd Chinese Control Conference, CCC 2014
Country/Territory	China
City	Nanjing
Period	28/07/14 → 30/07/14

Keywords

descriptor system approach
Fornasini-Marchesini model
Two-dimensional systems
unknown input observer

Access to Document

10.1109/ChiCC.2014.6895965

Cite this

Zhao, D., Wang, Y., & Zhang, B. (2014). Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach. In S. Xu, & Q. Zhao (Eds.), Proceedings of the 33rd Chinese Control Conference, CCC 2014 (pp. 5979-5984). Article 6895965 (Proceedings of the 33rd Chinese Control Conference, CCC 2014). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2014.6895965

@inproceedings{eaadae6bfe9e4e5ba5158b5c6ac22be5,

title = "Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach",

abstract = "This paper considers the problem of estimating the state and unknown input simultaneously for 2-D Fornasini-Marchesini system with unknown input in both state and measurement equations. The problem is solved by using descriptor system approach and then an asymptotically convergent observer was designed. Two cases, the gain matrix for the unknown input in measurement equation is not and/or is of full column rank, have been discussed. For these two cases, the corresponding sufficient and necessary condition and sufficient condition for the existence of the asymptotical observers are presented and proved in terms of rank condition, respectively. A numerical example is provided to illustrate the convergence properties of the observers and the effectiveness of the proposed method.",

keywords = "descriptor system approach, Fornasini-Marchesini model, Two-dimensional systems, unknown input observer",

author = "Dong Zhao and Youqing Wang and Bin Zhang",

note = "Publisher Copyright: {\textcopyright} 2014 TCCT, CAA.; Proceedings of the 33rd Chinese Control Conference, CCC 2014 ; Conference date: 28-07-2014 Through 30-07-2014",

year = "2014",

month = sep,

day = "11",

doi = "10.1109/ChiCC.2014.6895965",

language = "英语",

series = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

publisher = "IEEE Computer Society",

pages = "5979--5984",

editor = "Shengyuan Xu and Qianchuan Zhao",

booktitle = "Proceedings of the 33rd Chinese Control Conference, CCC 2014",

address = "美国",

}

Zhao, D, Wang, Y & Zhang, B 2014, Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach. in S Xu & Q Zhao (eds), Proceedings of the 33rd Chinese Control Conference, CCC 2014., 6895965, Proceedings of the 33rd Chinese Control Conference, CCC 2014, IEEE Computer Society, pp. 5979-5984, Proceedings of the 33rd Chinese Control Conference, CCC 2014, Nanjing, China, 28/07/14. https://doi.org/10.1109/ChiCC.2014.6895965

Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach. / Zhao, Dong; Wang, Youqing; Zhang, Bin.
Proceedings of the 33rd Chinese Control Conference, CCC 2014. ed. / Shengyuan Xu; Qianchuan Zhao. IEEE Computer Society, 2014. p. 5979-5984 6895965 (Proceedings of the 33rd Chinese Control Conference, CCC 2014).

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

TY - GEN

T1 - Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach

AU - Zhao, Dong

AU - Wang, Youqing

AU - Zhang, Bin

PY - 2014/9/11

Y1 - 2014/9/11

N2 - This paper considers the problem of estimating the state and unknown input simultaneously for 2-D Fornasini-Marchesini system with unknown input in both state and measurement equations. The problem is solved by using descriptor system approach and then an asymptotically convergent observer was designed. Two cases, the gain matrix for the unknown input in measurement equation is not and/or is of full column rank, have been discussed. For these two cases, the corresponding sufficient and necessary condition and sufficient condition for the existence of the asymptotical observers are presented and proved in terms of rank condition, respectively. A numerical example is provided to illustrate the convergence properties of the observers and the effectiveness of the proposed method.

AB - This paper considers the problem of estimating the state and unknown input simultaneously for 2-D Fornasini-Marchesini system with unknown input in both state and measurement equations. The problem is solved by using descriptor system approach and then an asymptotically convergent observer was designed. Two cases, the gain matrix for the unknown input in measurement equation is not and/or is of full column rank, have been discussed. For these two cases, the corresponding sufficient and necessary condition and sufficient condition for the existence of the asymptotical observers are presented and proved in terms of rank condition, respectively. A numerical example is provided to illustrate the convergence properties of the observers and the effectiveness of the proposed method.

KW - descriptor system approach

KW - Fornasini-Marchesini model

KW - Two-dimensional systems

KW - unknown input observer

UR - https://www.scopus.com/pages/publications/84907938607

U2 - 10.1109/ChiCC.2014.6895965

DO - 10.1109/ChiCC.2014.6895965

M3 - 会议稿件

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T3 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

SP - 5979

EP - 5984

BT - Proceedings of the 33rd Chinese Control Conference, CCC 2014

A2 - Xu, Shengyuan

A2 - Zhao, Qianchuan

PB - IEEE Computer Society

T2 - Proceedings of the 33rd Chinese Control Conference, CCC 2014

Y2 - 28 July 2014 through 30 July 2014

ER -

Unknown input observer for 2-D Fornasini-Marchesini system using descriptor system approach

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