Title: Observer design for a class of Lipschitz time-delay systems

Authors: Ali Zemouche, Mohamed Boutayeb, Gabriela Iuliana Bara

Addresses: LSIIT Laboratory, Team of Research: AVR, University of Louis Pasteur, Strasbourg, France. ' LSIIT Laboratory, Team of Research: AVR, University of Louis Pasteur, Strasbourg, France. ' LSIIT Laboratory, Team of Research: AVR, University of Louis Pasteur, Strasbourg, France

Abstract: This paper deals with observers design of non-linear time-delay systems. We investigate in particular, a useful technique based on the use of the Differential MeanValue Theorem (DMVT) and the Lyapunov-Krasovskii functionals to give a very suitable sufficient synthesis condition to assure exponential convergence. The obtained condition is formulated in terms of matrix inequality which becomes linear whenever an unknown scalar is chosen a priori. On the other hand, we introduce a simple and relevant transformation to show how to extend the obtained results to a particular class of continuous but non-differentiable systems. To show performances of the proposed approach and the large class of systems that may be concerned, numerical examples are provided.

Keywords: observer design; nonlinear time-delay systems; LPV; linear parameter varying systems; LMI; linear matrix inequality approach; differential mean value theorem; DMVT; Lyapunov-Krasovskii functionals.

DOI: 10.1504/IJMIC.2008.020997

International Journal of Modelling, Identification and Control, 2008 Vol.4 No.1, pp.28 - 36

Published online: 30 Oct 2008 *

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