Stabilization of 2D saturated systems by state feedback control

Authors:
Abdelaziz Hmamed;Fouad Mesquine;Fernando Tadeo;Mohamed Benhayoun;Abdellah Benzaouia
Affiliations:
LESSI, University Mohamed Ben Abdellah, Faculty of Sciences Dhar EL Mhraz, Fes, Morocco 1796;LAEPT-URAC 28, EACPI, University Cadi Ayyad, Faculty of Science Semlalia, Marrakech, Morocco;Departamento de Ingenieria de Sistemas y Automatica, Universidad de Valladolid, Valladolid, Spain 47005;LAEPT-URAC 28, EACPI, University Cadi Ayyad, Faculty of Science Semlalia, Marrakech, Morocco;LAEPT-URAC 28, EACPI, University Cadi Ayyad, Faculty of Science Semlalia, Marrakech, Morocco
Venue:
Multidimensional Systems and Signal Processing
Year:
2010

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Abstract

The problem of stabilizability of the 2D continuous-time saturated systems under state-feedback control is solved in this paper. Two cases are considered: the first one, the control may saturate and limits may be attained. The second one, the control does not saturate and limits are avoided. Sufficient conditions of asymptotic stability are presented. The synthesis of the required controllers is given under LMIs form. Illustrative examples are treated.