Nugap Model Reduction in the Frequency Domain
(2011) American Control Conference, 2011 p.50255030 Abstract
 In this paper a model reduction algorithm in the nugap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nugap metric induces the weakest topology in which stability is a robust property. All in all the nugap 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 nugap 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 nugap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nugap metric induces the weakest topology in which stability is a robust property. All in all the nugap 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 nugap 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:
http://lup.lub.lu.se/record/2158470
 author
 Sootla, Aivar ^{LU}
 organization
 publishing date
 2011
 type
 Contribution to conference
 publication status
 published
 subject
 keywords
 model reduction, nugap 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
 2fcfc00695c14ed19af089508792008a (old id 2158470)
 date added to LUP
 20110916 11:24:30
 date last changed
 20180107 10:57:14
@misc{2fcfc00695c14ed19af089508792008a, abstract = {In this paper a model reduction algorithm in the nugap metric is considered. The metric was originally developed to evaluate robustness of a controller for a given plant. In fact, the nugap metric induces the weakest topology in which stability is a robust property. All in all the nugap 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 nugap 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,nugap metric,robust control,controller reduction,central polynomial}, language = {eng}, pages = {50255030}, title = {Nugap Model Reduction in the Frequency Domain}, year = {2011}, }