Reconciling nu-Gap Metric and IQC Based Robust Stability Analysis
(2013) In IEEE Transactions on Automatic Control 58(8).- Abstract
- This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown... (More)
- This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4246734
- author
- Khong, Sei Zhen LU and Cantoni, Michael
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Automatic Control
- volume
- 58
- issue
- 8
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:84880888778
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2013.2246496
- language
- English
- LU publication?
- no
- id
- 31137143-025b-4911-8b1c-a110c311edbe (old id 4246734)
- date added to LUP
- 2016-04-04 13:30:26
- date last changed
- 2022-02-28 22:27:04
@article{31137143-025b-4911-8b1c-a110c311edbe, abstract = {{This technical note elaborates on the flexibility of an approach that combines nu-gap metric and integral quadratic constraint (IQC) based analysis in the study of uncertain feedback interconnections of distributed-parameter transfer functions. It is established that a standard ν-gap ball robust stability result can be recovered within the blended IQC/nu-gap framework, which only requires the existence of ν-gap continuous paths within the uncertainty set of interest. This is achieved, in part, by showing that sufficiently small ν-gap balls are pathwise connected in the graph topology. A linear fractional characterisation of the ν-gap is a key ingredient. This characterisation is underpinned by a certain J-spectral factorisation, also shown to exist herein.}}, author = {{Khong, Sei Zhen and Cantoni, Michael}}, issn = {{0018-9286}}, language = {{eng}}, number = {{8}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Automatic Control}}, title = {{Reconciling nu-Gap Metric and IQC Based Robust Stability Analysis}}, url = {{http://dx.doi.org/10.1109/TAC.2013.2246496}}, doi = {{10.1109/TAC.2013.2246496}}, volume = {{58}}, year = {{2013}}, }