Article Dans Une Revue International Journal of Modelling, Identification and Control Année : 2008

Observer design for a class of Lipschitz time-delay systems

Résumé

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 Mean Value 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.

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Dates et versions

hal-00344477 , version 1 (04-12-2008)

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Citer

Ali Zemouche, Mohamed Boutayeb, Iula Bara. Observer design for a class of Lipschitz time-delay systems. International Journal of Modelling, Identification and Control, 2008, 4 (1), pp.28-36. ⟨10.1504/IJMIC.2008.020997⟩. ⟨hal-00344477⟩
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