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IMA Journal of Mathematical Control and Information Advance Access originally published online on July 24, 2009
IMA Journal of Mathematical Control and Information 2009 26(3):281-298; doi:10.1093/imamci/dnp008
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

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

Salim Ibrir{dagger}

Process and Utilities Department, University of Trinidad and Tobago, Pt. Lisas Campus, PO Box 957, Esperanza Road, Brechin Castle, Couva, Trinidad, West Indies

Sette Diop{ddagger}

Systems Department, Université Paris-Sud. Laboratoire des Signaux et Systèmes - CNRS., 3 rue Joliot-Curie, 91190 Gif-Sur-Yvette, France

{dagger} Corresponding author. Email: salim.ibrir{at}utt.edu.tt

{ddagger} Email: diop{at}lss.supelec.fr

Received on June 1, 2008; Accepted on March 9, 2009

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.

Keywords: neutral-type delay systems; observers; optimal filtering; linear matrix inequalities (LMIs).


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