μ analysis for interconnections of systems with negative imaginary frequency response

Sonke Engelken; Alexander Lanzon; Ian R. Petersen

doi:10.23919/ecc.2009.7074461

μ analysis for interconnections of systems with negative imaginary frequency response

Sonke Engelken^*, Alexander Lanzon, Ian R. Petersen

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

Many physical systems are subject to real parametric uncertainty. A recently developed method gives exact parametric stability regions for systems with so called negative imaginary frequency response. This method is contrasted in this paper with μ analysis for the same system class. The two methods are shown to yield similar results for some simple SISO cases. Limitations of both methods are pointed out through a numerical example.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	555-560
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7074461
Publication status	Published - 26 Mar 2014
Externally published	Yes
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

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10.23919/ecc.2009.7074461

Cite this

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title = "μ analysis for interconnections of systems with negative imaginary frequency response",

abstract = "Many physical systems are subject to real parametric uncertainty. A recently developed method gives exact parametric stability regions for systems with so called negative imaginary frequency response. This method is contrasted in this paper with μ analysis for the same system class. The two methods are shown to yield similar results for some simple SISO cases. Limitations of both methods are pointed out through a numerical example.",

author = "Sonke Engelken and Alexander Lanzon and Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074461",

language = "English",

series = "2009 European Control Conference, ECC 2009",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "555--560",

booktitle = "2009 European Control Conference, ECC 2009",

address = "United States",

url = "http://ieeexplore.ieee.org/document/7074402/, http://ieeexplore.ieee.org/document/7074461/",

}

Engelken, S, Lanzon, A & Petersen, IR 2014, μ analysis for interconnections of systems with negative imaginary frequency response. in 2009 European Control Conference, ECC 2009., 7074461, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 555-560, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074461

μ analysis for interconnections of systems with negative imaginary frequency response. / Engelken, Sonke; Lanzon, Alexander; Petersen, Ian R.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 555-560 7074461 (2009 European Control Conference, ECC 2009).

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

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AU - Lanzon, Alexander

AU - Petersen, Ian R.

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PY - 2014/3/26

Y1 - 2014/3/26

N2 - Many physical systems are subject to real parametric uncertainty. A recently developed method gives exact parametric stability regions for systems with so called negative imaginary frequency response. This method is contrasted in this paper with μ analysis for the same system class. The two methods are shown to yield similar results for some simple SISO cases. Limitations of both methods are pointed out through a numerical example.

AB - Many physical systems are subject to real parametric uncertainty. A recently developed method gives exact parametric stability regions for systems with so called negative imaginary frequency response. This method is contrasted in this paper with μ analysis for the same system class. The two methods are shown to yield similar results for some simple SISO cases. Limitations of both methods are pointed out through a numerical example.

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DO - 10.23919/ecc.2009.7074461

M3 - Conference contribution

T3 - 2009 European Control Conference, ECC 2009

SP - 555

EP - 560

BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th European Control Conference: ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

μ analysis for interconnections of systems with negative imaginary frequency response

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