Coprime factor model reduction for continuous-time uncertain systems

Li, L

Coprime factor model reduction for continuous-time uncertain systems

Li, L

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Publication Type:: Conference Proceeding
Citation:: Proceedings of the IEEE Conference on Decision and Control, 2008, pp. 4227 - 4232
Issue Date:: 2008-12-01

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Field	Value	Language
dc.contributor.author	Li, L https://orcid.org/0000-0001-8485-2216	en_US
dc.date.issued	2008-12-01	en_US
dc.identifier.citation	Proceedings of the IEEE Conference on Decision and Control, 2008, pp. 4227 - 4232	en_US
dc.identifier.isbn	9781424431243	en_US
dc.identifier.issn	0191-2216	en_US
dc.identifier.uri	http://hdl.handle.net/10453/16343
dc.description.abstract	The paper considers the problem of coprime factor model reduction for a class of continuous-time uncertain systems with structured norm bounded uncertainty. The proposed method is applicable to the uncertain systems which may be robustly unstable, overcoming the robust stability restriction in the balanced truncation approach. A systematic approach is presented to construct a contractive coprime factor for the underlying uncertain system, based on the use of LMIs. This enables the balanced truncation to be applied to the contractive coprime factor to obtain the reduced uncertain system. Error bound on the L 2-induced norm of the resulting coprime factor is derived. © 2008 IEEE.	en_US
dc.relation.ispartof	Proceedings of the IEEE Conference on Decision and Control	en_US
dc.relation.isbasedon	10.1109/CDC.2008.4738772	en_US
dc.title	Coprime factor model reduction for continuous-time uncertain systems	en_US
dc.type	Conference Proceeding
utslib.for	0906 Electrical and Electronic Engineering	en_US
dc.location.activity	Cancun, Mexico	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	open_access
pubs.publication-status	Published	en_US

Abstract:

The paper considers the problem of coprime factor model reduction for a class of continuous-time uncertain systems with structured norm bounded uncertainty. The proposed method is applicable to the uncertain systems which may be robustly unstable, overcoming the robust stability restriction in the balanced truncation approach. A systematic approach is presented to construct a contractive coprime factor for the underlying uncertain system, based on the use of LMIs. This enables the balanced truncation to be applied to the contractive coprime factor to obtain the reduced uncertain system. Error bound on the L 2-induced norm of the resulting coprime factor is derived. © 2008 IEEE.

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http://hdl.handle.net/10453/16343