Generalized negative imaginary lemma for descriptor systems

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

Generalized negative imaginary lemma for descriptor systems

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

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

Abstract

Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, the authors study the extension of NI theory to descriptor systems. The authors derive an NI lemma for descriptor systems. This is done by using the transformation from positive real (PR) system to NI system. Then, the Weierstrass Form transformation was involved to transform and matrices to be in a special form. An illustrative example is presented to support the result.

Original language	English
Pages (from-to)	17 - 21
Journal	Journal of Mechanical Engineering and Automation
Volume	2
Issue number	1
Publication status	Published - 2012

Cite this

@article{dd083c00d0bb46a59b53415d69a68972,

title = "Generalized 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, the authors study the extension of NI theory to descriptor systems. The authors derive an NI lemma for descriptor systems. This is done by using the transformation from positive real (PR) system to NI system. Then, the Weierstrass Form transformation was involved to transform and matrices to be in a special form. An illustrative example is presented to support the result.",

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

year = "2012",

language = "English",

volume = "2",

pages = "17 -- 21",

journal = "Journal of Mechanical Engineering and Automation",

publisher = "David Publishing Company",

number = "1",

}

TY - JOUR

T1 - Generalized negative imaginary lemma for descriptor systems

AU - Mabrok, Mohamed A.

AU - Kallapur, Abhijit G

AU - Petersen, Ian

AU - Lanzon, Alexander

PY - 2012

Y1 - 2012

N2 - Flexible structure dynamics with collocated force actuators and position sensors lead to negative imaginary (NI) systems. In this paper, the authors study the extension of NI theory to descriptor systems. The authors derive an NI lemma for descriptor systems. This is done by using the transformation from positive real (PR) system to NI system. Then, the Weierstrass Form transformation was involved to transform and matrices to be in a special form. 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, the authors study the extension of NI theory to descriptor systems. The authors derive an NI lemma for descriptor systems. This is done by using the transformation from positive real (PR) system to NI system. Then, the Weierstrass Form transformation was involved to transform and matrices to be in a special form. An illustrative example is presented to support the result.

M3 - Article

VL - 2

SP - 17

EP - 21

JO - Journal of Mechanical Engineering and Automation

JF - Journal of Mechanical Engineering and Automation

IS - 1

ER -

Generalized negative imaginary lemma for descriptor systems

Abstract

Fingerprint

Cite this