Reduced-order local representation of uncertain large-scale interconnected systems

Li, L

Reduced-order local representation of uncertain large-scale interconnected systems

Li, L

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Publication Type:: Conference Proceeding
Citation:: Proceedings of the American Control Conference, 2012, pp. 2295 - 2300
Issue Date:: 2012-11-26

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Field	Value	Language
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216	en_US
dc.date.issued	2012-11-26	en_US
dc.identifier.citation	Proceedings of the American Control Conference, 2012, pp. 2295 - 2300	en_US
dc.identifier.isbn	9781457710957	en_US
dc.identifier.issn	0743-1619	en_US
dc.identifier.uri	http://hdl.handle.net/10453/32302
dc.description.abstract	We address the structure-preserving model reduction problem of uncertain large-scale systems. The uncertainties under consideration include local uncertainty and interconnection uncertainty, both of which are modeled in terms of IQCs. The performance of the reduced-order system is justified in H ∞ sense. It is shown that the feasibility of a collection of rank constrained LMIs is both sufficient and necessary for the existence of a reduced-order representation of the original system. A guaranteed upper bound on the worst-case model reduction performance is also obtained. To obtain a reduced-order model satisfying this bound, related optimization problems involving rank constrained LMIs are discussed. © 2012 AACC American Automatic Control Council).	en_US
dc.relation.ispartof	Proceedings of the American Control Conference	en_US
dc.title	Reduced-order local representation of uncertain large-scale interconnected systems	en_US
dc.type	Conference Proceeding
utslib.for	09 Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US

Abstract:

We address the structure-preserving model reduction problem of uncertain large-scale systems. The uncertainties under consideration include local uncertainty and interconnection uncertainty, both of which are modeled in terms of IQCs. The performance of the reduced-order system is justified in H ∞ sense. It is shown that the feasibility of a collection of rank constrained LMIs is both sufficient and necessary for the existence of a reduced-order representation of the original system. A guaranteed upper bound on the worst-case model reduction performance is also obtained. To obtain a reduced-order model satisfying this bound, related optimization problems involving rank constrained LMIs are discussed. © 2012 AACC American Automatic Control Council).

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http://hdl.handle.net/10453/32302