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Journal of Control Science and EngineeringVolume 2012 2012, Article ID 823290, 8 pages

Research Article

Department of Mathematic and Informatics, Faculty Multidisciplinary, University Mohamed Premier, P.O. Box 300, Nador, Selouane 62700, Morocco

LESSI, Department of Physics, Faculty of Science Dhar El Mehraz, P.O. Box 1796, Fes-Atlas 30000, Morocco

Departamento Ingenieria de Sistemas y Automatica, Universidad de Valladolid, Valladolid 47005, Spain

Received 13 September 2011; Accepted 22 November 2011

Academic Editor: L. Z. Yu

Copyright © 2012 F. El Haoussi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives i.e., neutralsystems, in the presence of saturating actuators. Delay-dependent conditions are givento determine stabilizing state-feedback controllers with large domain of attraction, expressed as linear matrix inequalities, readily implementable using available numerical tools and with tuning parameters that make possible to select the most adequate solution. These conditions are derived by using a Lyapunov-Krasovskii functional on the vertices of the polytopic description of the actuator saturations. Numerical examples demonstrate the effectiveness of the proposed technique.

Autor: F. El Haoussi, E. H. Tissir, A. Hmamed, and F. Tadeo



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