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Mathematical Problems in Engineering
Volume 2006, Article ID 43970, 11 pages

Stability and control synthesis for discrete-time linear systems subject to actuator saturation by output feedback

1Department of Physics, EACPI Research Unit, Faculty of Sciences Semlalia, University of Cadi Ayyad, Marrakech P.B. 2390, Morocco
2Département de Physique and Laboratoire d'Electronique,Siganux, Systémes et d'Informatique, Faculté des Sciences Dhar El Mahraz, Université Sidi Mohamed Ben Abdellah, Fes P.B. 1796, Morocco
3Department of Electrical Engineering, École Supérieure de Technologie, Eljadida Km 7, Casablanca, Morocco

Received 16 August 2004; Revised 15 September 2005; Accepted 22 September 2005

Copyright © 2006 A. Benzaouia 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.


This paper presents sufficient conditions of asymptotic stability for discrete-time linear systems subject to actuator saturations with an output feedback law. The derived stability results are given in terms of LMIs. A new proof is presented to obtain previous conditions of asymptotic stability. A numerical example is used to illustrate this technique by using a linear optimization problem subject to LMI constraints.