A negative imaginary lemma for descriptor systems

Mohamed A. Mabrok; Abhijit G. Kallapur; Ian R. Petersen; Alexander Lanzon

A negative imaginary lemma for descriptor systems

Mohamed A. Mabrok^*, Abhijit G. Kallapur, Ian R. Petersen, Alexander Lanzon

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, we study the extension of NI theory to descriptor systems. We derive an NI lemma for descriptor systems. An illustrative example is presented to support the result.

Original language	English
Title of host publication	Proceedings of the 2011 Australian Control Conference, AUCC 2011
Pages	543-546
Number of pages	4
Publication status	Published - 2011
Externally published	Yes
Event	1st Australian Control Conference, AUCC 2011 - Melbourne, VIC, Australia Duration: 10 Nov 2011 → 11 Nov 2011

Publication series

Name	Proceedings of the 2011 Australian Control Conference, AUCC 2011

Conference

Conference	1st Australian Control Conference, AUCC 2011
Country/Territory	Australia
City	Melbourne, VIC
Period	10/11/11 → 11/11/11

Cite this

@inproceedings{57c5b60e3dd5431dac3ef8f3ba380406,

title = "A negative imaginary lemma for descriptor systems",

abstract = "Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, we study the extension of NI theory to descriptor systems. We derive an NI lemma for descriptor systems. An illustrative example is presented to support the result.",

keywords = "Negative imaginary lemma, Negative imaginary systems, descriptor systems, positive real systems",

author = "Mabrok, {Mohamed A.} and Kallapur, {Abhijit G.} and Petersen, {Ian R.} and Alexander Lanzon",

year = "2011",

language = "English",

isbn = "9780858259874",

series = "Proceedings of the 2011 Australian Control Conference, AUCC 2011",

pages = "543--546",

booktitle = "Proceedings of the 2011 Australian Control Conference, AUCC 2011",

note = "1st Australian Control Conference, AUCC 2011 ; Conference date: 10-11-2011 Through 11-11-2011",

}

A negative imaginary lemma for descriptor systems. / Mabrok, Mohamed A.; Kallapur, Abhijit G.; Petersen, Ian R. et al.
Proceedings of the 2011 Australian Control Conference, AUCC 2011. 2011. p. 543-546 6114329 (Proceedings of the 2011 Australian Control Conference, AUCC 2011).

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

TY - GEN

T1 - A negative imaginary lemma for descriptor systems

AU - Mabrok, Mohamed A.

AU - Kallapur, Abhijit G.

AU - Petersen, Ian R.

AU - Lanzon, Alexander

PY - 2011

Y1 - 2011

N2 - Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, we study the extension of NI theory to descriptor systems. We derive an NI lemma for descriptor systems. An illustrative example is presented to support the result.

AB - Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, we study the extension of NI theory to descriptor systems. We derive an NI lemma for descriptor systems. An illustrative example is presented to support the result.

KW - Negative imaginary lemma

KW - Negative imaginary systems

KW - descriptor systems

KW - positive real systems

UR - http://www.scopus.com/inward/record.url?scp=84856090587&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9780858259874

T3 - Proceedings of the 2011 Australian Control Conference, AUCC 2011

SP - 543

EP - 546

BT - Proceedings of the 2011 Australian Control Conference, AUCC 2011

T2 - 1st Australian Control Conference, AUCC 2011

Y2 - 10 November 2011 through 11 November 2011

ER -

A negative imaginary lemma for descriptor systems

Abstract

Publication series

Conference

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