A lyapunov variable-free KYP lemma for SISO continuous systems

Hoang, HG; Tuan, HD; Apkarian, P

A lyapunov variable-free KYP lemma for SISO continuous systems

Hoang, HG Tuan, HD

Apkarian, P

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Automatic Control, 2008, 53 (11), pp. 2669 - 2673
Issue Date:: 2008-12-01

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Field	Value	Language
dc.contributor.author	Hoang, HG	en_US
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.contributor.author	Apkarian, P	en_US
dc.date.issued	2008-12-01	en_US
dc.identifier.citation	IEEE Transactions on Automatic Control, 2008, 53 (11), pp. 2669 - 2673	en_US
dc.identifier.issn	0018-9286	en_US
dc.identifier.uri	http://hdl.handle.net/10453/15286
dc.description.abstract	This technical note proposes a novel frequency-selective Kalman-Yakubovich-Popov (FS-KYP) lemma for analysis of single-input single-output (SISO) continuous systems. In contrast to existing approaches, the proposed method only uses a minimal number of variables due to the absence of Lyapunov variables in semidefinite programming (SDP) formulation. The SDP formulation is extended to polytopic uncertain systems also without any additional variable and yields an efficient method for computation of the H∞ gain for polytopic systems. The viability of the proposed method are demonstrated through several numerical examples. © 2008 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.relation.isbasedon	10.1109/TAC.2008.2007156	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	A lyapunov variable-free KYP lemma for SISO continuous systems	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	53	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical Engineering	en_US
dc.location.activity	ISI:000261801600020	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.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	53	en_US

Abstract:

This technical note proposes a novel frequency-selective Kalman-Yakubovich-Popov (FS-KYP) lemma for analysis of single-input single-output (SISO) continuous systems. In contrast to existing approaches, the proposed method only uses a minimal number of variables due to the absence of Lyapunov variables in semidefinite programming (SDP) formulation. The SDP formulation is extended to polytopic uncertain systems also without any additional variable and yields an efficient method for computation of the H∞ gain for polytopic systems. The viability of the proposed method are demonstrated through several numerical examples. © 2008 IEEE.

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http://hdl.handle.net/10453/15286