A spectral quadratic-SDP method with applications to fixed-order H <inf>2</inf> and H<inf>∞</inf> synthesis

Apkarian, P; Noll, D; Thevenet, JB; Tuan, HD

A spectral quadratic-SDP method with applications to fixed-order H <inf>2</inf> and H<inf>∞</inf> synthesis

Apkarian, P Noll, D Thevenet, JB Tuan, HD

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Publication Type:: Journal Article
Citation:: 2004 5th Asian Control Conference, 2004, 2 pp. 1337 - 1345
Issue Date:: 2004-12-01

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Field	Value	Language
dc.contributor.author	Apkarian, P	en_US
dc.contributor.author	Noll, D	en_US
dc.contributor.author	Thevenet, JB	en_US
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.date.issued	2004-12-01	en_US
dc.identifier.citation	2004 5th Asian Control Conference, 2004, 2 pp. 1337 - 1345	en_US
dc.identifier.uri	http://hdl.handle.net/10453/14479
dc.description.abstract	In this paper, we discuss a spectral quadratic-SDP method for the iterative resolution of fixed-order H2 and H∞ design problems. These problems can be cast as regular SDP programs with additional nonlinear equality constraints. When the inequalities are absorbed into a Lagrangian function the problem reduces to solving a sequence of SDPs with quadratic objective function for which a spectral SDP method has been developed. Along with a description of the spectral SDP method used to solve the tangent subproblems, we report a number of computational results for validation purposes.	en_US
dc.relation.ispartof	2004 5th Asian Control Conference	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	A spectral quadratic-SDP method with applications to fixed-order H <inf>2</inf> and H<inf>∞</inf> synthesis	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	ISI:000229693400001	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
pubs.volume	2	en_US

Abstract:

In this paper, we discuss a spectral quadratic-SDP method for the iterative resolution of fixed-order H2 and H∞ design problems. These problems can be cast as regular SDP programs with additional nonlinear equality constraints. When the inequalities are absorbed into a Lagrangian function the problem reduces to solving a sequence of SDPs with quadratic objective function for which a spectral SDP method has been developed. Along with a description of the spectral SDP method used to solve the tangent subproblems, we report a number of computational results for validation purposes.

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http://hdl.handle.net/10453/14479