Robust pole assignment via the Schur-Newton algorithms

Tiexiang Li; Eric King-wah Chu; Xuan Zhao

doi:10.1109/ICMT.2011.6002622

Robust pole assignment via the Schur-Newton algorithms

Tiexiang Li, Eric King-wah Chu, Xuan Zhao

School of Mathematics

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

Abstract

In [6], the pole assignment problem was considered for the control system ẋ = Ax + Bu with linear state-feedback u = Fx. An algorithm using the Schur form has been proposed, producing suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, with a weighted sum of the feedback gain and the departure from normality being used as the robustness measure. Newton refinement procedure is implemented, producing optimal solutions. Several illustrative numerical examples are presented.

Original language	English
Title of host publication	2011 International Conference on Multimedia Technology (ICMT 2011)
Subtitle of host publication	Proceedings
Editors	Yi Pan, Shengjun Xue
Place of Publication	Piscataway NJ USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	2332-2335
Number of pages	4
ISBN (Print)	9781612847740
DOIs	https://doi.org/10.1109/ICMT.2011.6002622
Publication status	Published - 2011
Event	International Conference on Multimedia Technology (IMCT 2011) - Zhejiang Braim International Hotel, Hangzhou, China Duration: 26 Jul 2011 → 28 Jul 2011 Conference number: 2nd https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=18827 https://web.archive.org/web/20110605023802/http://www.icmtconf.org/

Conference

Conference	International Conference on Multimedia Technology (IMCT 2011)
Abbreviated title	ICMT 2011
Country/Territory	China
City	Hangzhou
Period	26/07/11 → 28/07/11
Internet address	https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=18827 https://web.archive.org/web/20110605023802/http://www.icmtconf.org/

Keywords

Pole assignment
Schur form
The departure from normality

Access to Document

10.1109/ICMT.2011.6002622

51800901-oaFinal published version, 140 KB

Cite this

@inproceedings{95908908155e4ab6830d5e43e5091e9b,

title = "Robust pole assignment via the Schur-Newton algorithms",

abstract = "In [6], the pole assignment problem was considered for the control system ẋ = Ax + Bu with linear state-feedback u = Fx. An algorithm using the Schur form has been proposed, producing suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, with a weighted sum of the feedback gain and the departure from normality being used as the robustness measure. Newton refinement procedure is implemented, producing optimal solutions. Several illustrative numerical examples are presented.",

keywords = "Pole assignment, Schur form, The departure from normality",

author = "Tiexiang Li and Chu, {Eric King-wah} and Xuan Zhao",

year = "2011",

doi = "10.1109/ICMT.2011.6002622",

language = "English",

isbn = "9781612847740",

pages = "2332--2335",

editor = "Pan, {Yi } and Xue, {Shengjun }",

booktitle = "2011 International Conference on Multimedia Technology (ICMT 2011)",

publisher = "IEEE, Institute of Electrical and Electronics Engineers",

address = "United States of America",

note = "International Conference on Multimedia Technology (IMCT 2011), ICMT 2011 ; Conference date: 26-07-2011 Through 28-07-2011",

url = "https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=18827, https://web.archive.org/web/20110605023802/http://www.icmtconf.org/",

}

Li, T, Chu, EK & Zhao, X 2011, Robust pole assignment via the Schur-Newton algorithms. in Y Pan & S Xue (eds), 2011 International Conference on Multimedia Technology (ICMT 2011): Proceedings. IEEE, Institute of Electrical and Electronics Engineers, Piscataway NJ USA, pp. 2332-2335, International Conference on Multimedia Technology (IMCT 2011), Hangzhou, China, 26/07/11. https://doi.org/10.1109/ICMT.2011.6002622

Robust pole assignment via the Schur-Newton algorithms. / Li, Tiexiang; Chu, Eric King-wah; Zhao, Xuan.
2011 International Conference on Multimedia Technology (ICMT 2011): Proceedings. ed. / Yi Pan; Shengjun Xue. Piscataway NJ USA: IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 2332-2335.

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

TY - GEN

T1 - Robust pole assignment via the Schur-Newton algorithms

AU - Li, Tiexiang

AU - Chu, Eric King-wah

AU - Zhao, Xuan

N1 - Conference code: 2nd

PY - 2011

Y1 - 2011

N2 - In [6], the pole assignment problem was considered for the control system ẋ = Ax + Bu with linear state-feedback u = Fx. An algorithm using the Schur form has been proposed, producing suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, with a weighted sum of the feedback gain and the departure from normality being used as the robustness measure. Newton refinement procedure is implemented, producing optimal solutions. Several illustrative numerical examples are presented.

AB - In [6], the pole assignment problem was considered for the control system ẋ = Ax + Bu with linear state-feedback u = Fx. An algorithm using the Schur form has been proposed, producing suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, with a weighted sum of the feedback gain and the departure from normality being used as the robustness measure. Newton refinement procedure is implemented, producing optimal solutions. Several illustrative numerical examples are presented.

KW - Pole assignment

KW - Schur form

KW - The departure from normality

UR - http://www.scopus.com/inward/record.url?scp=80052939183&partnerID=8YFLogxK

UR - http://ieeexplore.ieee.org.ezproxy.lib.monash.edu.au/stamp/stamp.jsp?tp=&arnumber=6002622

U2 - 10.1109/ICMT.2011.6002622

DO - 10.1109/ICMT.2011.6002622

M3 - Conference Paper

AN - SCOPUS:80052939183

SN - 9781612847740

SP - 2332

EP - 2335

BT - 2011 International Conference on Multimedia Technology (ICMT 2011)

A2 - Pan, Yi

A2 - Xue, Shengjun

PB - IEEE, Institute of Electrical and Electronics Engineers

CY - Piscataway NJ USA

T2 - International Conference on Multimedia Technology (IMCT 2011)

Y2 - 26 July 2011 through 28 July 2011

ER -

Robust pole assignment via the Schur-Newton algorithms

Abstract

Conference

Keywords

Access to Document

Other files and links

Cite this