Parameter-dependent H<inf>∞</inf> Control for Time-varying Delay Polytopic Systems

Phat, VN; Ha, QP; Trinh, H

Parameter-dependent H<inf>∞</inf> Control for Time-varying Delay Polytopic Systems

Phat, VN Ha, QP

Trinh, H

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Publication Type:: Journal Article
Citation:: Journal of Optimization Theory and Applications, 2010, 147 (1), pp. 58 - 70
Issue Date:: 2010-05-07

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Field	Value	Language
dc.contributor.author	Phat, VN	en_US
dc.contributor.author	Ha, QP https://orcid.org/0000-0003-0978-1758	en_US
dc.contributor.author	Trinh, H	en_US
dc.date.issued	2010-05-07	en_US
dc.identifier.citation	Journal of Optimization Theory and Applications, 2010, 147 (1), pp. 58 - 70	en_US
dc.identifier.issn	0022-3239	en_US
dc.identifier.uri	http://hdl.handle.net/10453/13011
dc.description.abstract	This paper addresses the robust stabilization and H∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H∞ control are established in terms of linear matrix inequalities. © 2010 Springer Science+Business Media, LLC.	en_US
dc.relation.ispartof	Journal of Optimization Theory and Applications	en_US
dc.relation.isbasedon	10.1007/s10957-010-9707-0	en_US
dc.subject.classification	Operations Research	en_US
dc.title	Parameter-dependent H<inf>∞</inf> Control for Time-varying Delay Polytopic Systems	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	147	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0103 Numerical and Computational Mathematics	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
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	147	en_US

Abstract:

This paper addresses the robust stabilization and H∞ control problem for a class of linear polytopic systems with continuously distributed delays. The control objective is to design a robust H∞ controller that satisfies some exponential stability constraints on the closed-loop poles. Using improved parameter-dependent Lyapunov Krasovskii functionals, new delay-dependent conditions for the robust H∞ control are established in terms of linear matrix inequalities. © 2010 Springer Science+Business Media, LLC.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/13011