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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 orcid (2015) European Control Conference, 2015
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
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2015 European Control Conference (ECC)
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
European Control Conference, 2015
conference location
Linz, Austria
conference dates
2015-07-15 - 2015-07-17
external identifiers
  • scopus:84963852325
ISBN
978-3-9524-2693-7
DOI
10.1109/ECC.2015.7330832
language
English
LU publication?
yes
id
9af42630-3e8d-4b32-8ce4-8e01b8b383a4 (old id 7763974)
date added to LUP
2016-04-04 14:04:33
date last changed
2023-10-24 05:40:50
@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)}},
  isbn         = {{978-3-9524-2693-7}},
  language     = {{eng}},
  publisher    = {{IEEE - 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}},
  doi          = {{10.1109/ECC.2015.7330832}},
  year         = {{2015}},
}