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

Salim Ibrir 1, * Sette Diop 2
* Corresponding author
1 Process and Utilities Department
2 L2S - Laboratoire des signaux et systèmes
Abstract : 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 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 linear matrix inequality 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.
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Journal articles
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https://hal-supelec.archives-ouvertes.fr/hal-00447073
Contributor : Sette Diop <>
Submitted on : Thursday, January 14, 2010 - 10:52:40 AM
Last modification on : Thursday, July 18, 2019 - 1:02:03 PM

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Salim Ibrir, Sette Diop. Robust state reconstruction of linear neutral-type delay systems with application to lossless transmission lines: A convex optimization approach. IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2009, 26, pp. 281-298. ⟨10.1093/imamci/dnp008⟩. ⟨hal-00447073⟩

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