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Robust Feedback Stability of Negative Imaginary Systems: An Integral Quadratic Constraint Approach

Khong, Sei Zhen LU ; Petersen, Ian and Rantzer, Anders LU (2015) European Control Conference, 2015 In 2015 European Control Conference (ECC)
Abstract
Sufficient conditions for stability of feedback interconnections of negative imaginary systems are derived via an integral quadratic constraint (IQC) approach. These extend existing results in the literature by exploiting the flexibility present at the static and infinite frequencies to reduce conservatism. Negative imaginary transfer functions with poles on the imaginary axis are accommodated using a recently generalised IQC-based robustness result. In particular, the negative imaginary property of systems is shown to give rise to IQCs on positive frequencies that are bounded away from zero and infinity. Additional quadratic conditions are introduced to take care of the IQCs near the DC and instantaneous gains of the systems.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
2015 European Control Conference (ECC)
publisher
Institute of Electrical and Electronics Engineers Inc.
conference name
European Control Conference, 2015
external identifiers
  • Scopus:84963852325
DOI
10.1109/ECC.2015.7330832
language
English
LU publication?
yes
id
9af42630-3e8d-4b32-8ce4-8e01b8b383a4 (old id 7763974)
date added to LUP
2015-08-19 09:26:45
date last changed
2017-01-01 08:34:47
@inproceedings{9af42630-3e8d-4b32-8ce4-8e01b8b383a4,
  abstract     = {Sufficient conditions for stability of feedback interconnections of negative imaginary systems are derived via an integral quadratic constraint (IQC) approach. These extend existing results in the literature by exploiting the flexibility present at the static and infinite frequencies to reduce conservatism. Negative imaginary transfer functions with poles on the imaginary axis are accommodated using a recently generalised IQC-based robustness result. In particular, the negative imaginary property of systems is shown to give rise to IQCs on positive frequencies that are bounded away from zero and infinity. Additional quadratic conditions are introduced to take care of the IQCs near the DC and instantaneous gains of the systems.},
  author       = {Khong, Sei Zhen and Petersen, Ian and Rantzer, Anders},
  booktitle    = {2015 European Control Conference (ECC)},
  language     = {eng},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  title        = {Robust Feedback Stability of Negative Imaginary Systems: An Integral Quadratic Constraint Approach},
  url          = {http://dx.doi.org/10.1109/ECC.2015.7330832},
  year         = {2015},
}