Robust state reconstruction of linear neutral–type delay systems with application to lossless transmission lines: a convex optimization approach

This paper is concerned with the problem of robust observer design for linear systems with neutral-type time delays. Delay-independent and delay-dependent conditions are presented to solve the observation/filtering issue under noisy output measurements. Stated as linear matrix inequalities (LMIs) co...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2009-09, Vol.26 (3), p.281-298
Main Authors: Ibrir, Salim, Diop, Sette
Format: Article
Language:English
Subjects:
Automatic
Engineering Sciences
linear matrix inequalities (LMIs)
neutral-type delay systems
observers
optimal filtering
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Summary:This paper is concerned with the problem of robust observer design for linear systems with neutral-type time delays. Delay-independent and delay-dependent conditions are presented to solve the observation/filtering issue under noisy output measurements. Stated as linear matrix inequalities (LMIs) conditions, these sufficient conditions enable the determination of the observer gains that guarantee both asymptotic convergence of the observer in case of noiseless measurements and robust filtering in case of presence of measurements errors. The proposed LMI conditions are derived without any major approximation or assumption on the neutral-type time delay system, which make the observer design straightforward and less conservative.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dnp008