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Nu-gap Model Reduction in the Frequency Domain

Sootla, Aivar LU (2011) American Control Conference, 2011 p.5025-5030
Abstract
In this paper a model reduction algorithm in the nu-gap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nu-gap metric induces the weakest topology in which stability is a robust property. All in all the nu-gap metric is perhaps the best metric to evaluate the distance between two systems in a closed loop setup. In the field of distributed control, if approximation of the subsystems is considered, such a metric can be vital for modeling purposes. The presented algorithm of model reduction in the nu-gap metric is based on semidefinite programming methods and exploits the frequency domain representation of the systems. Therefore it may be easily extended to... (More)
In this paper a model reduction algorithm in the nu-gap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nu-gap metric induces the weakest topology in which stability is a robust property. All in all the nu-gap metric is perhaps the best metric to evaluate the distance between two systems in a closed loop setup. In the field of distributed control, if approximation of the subsystems is considered, such a metric can be vital for modeling purposes. The presented algorithm of model reduction in the nu-gap metric is based on semidefinite programming methods and exploits the frequency domain representation of the systems. Therefore it may be easily extended to incorporate into the optimization procedure constraints on a specific frequency region of a particular interest or the closed loop performance. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
model reduction, nu-gap metric, robust control, controller reduction, central polynomial
pages
5025 - 5030
conference name
American Control Conference, 2011
external identifiers
  • WOS:000295376006008
  • Scopus:80053154696
language
English
LU publication?
yes
id
2fcfc006-95c1-4ed1-9af0-89508792008a (old id 2158470)
date added to LUP
2011-09-16 11:24:30
date last changed
2017-02-19 04:34:36
@misc{2fcfc006-95c1-4ed1-9af0-89508792008a,
  abstract     = {In this paper a model reduction algorithm in the nu-gap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nu-gap metric induces the weakest topology in which stability is a robust property. All in all the nu-gap metric is perhaps the best metric to evaluate the distance between two systems in a closed loop setup. In the field of distributed control, if approximation of the subsystems is considered, such a metric can be vital for modeling purposes. The presented algorithm of model reduction in the nu-gap metric is based on semidefinite programming methods and exploits the frequency domain representation of the systems. Therefore it may be easily extended to incorporate into the optimization procedure constraints on a specific frequency region of a particular interest or the closed loop performance.},
  author       = {Sootla, Aivar},
  keyword      = {model reduction,nu-gap metric,robust control,controller reduction,central polynomial},
  language     = {eng},
  pages        = {5025--5030},
  title        = {Nu-gap Model Reduction in the Frequency Domain},
  year         = {2011},
}