Abstract
This paper presents sufficient conditions for the stabilization of uncertain switching discrete-time linear systems subject to actuator saturations. These conditions are obtained by using output feedback control laws and are formulated in terms of LMIs. Two different sets of LMIs are presented for the output feedback case when saturations are allowed, that differ in complexity and conservativeness. A numerical example is used to illustrate the proposed techniques.
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Recommended by Editor Young Il Lee. This work was funded by the “Ayuda para Mobilidad del Profesores Extranjeros SAB2005-0201 de Ministerio de Educacion y Ciencia” of Spain.
Abdellah Benzaouia was born in Attaouia (Marrakech) in 1954. He received the degree of Electrical Engineering at the Mohammedia school (Rabat) in 1979 and the Doctorat (Ph.D.) at the University Cadi Ayyad in 1988. He is a professor at the University of Cadi Ayyad (Marrakech) where he is also head of a team of research on Robust and Constrained Control (EACPI). His research interests are mainly constrained control, robust control, pole assignment, systems with Markovian jumping parameters, hybrid systems and greenhouses. He collaborates with many teams in France, Canada, Spain and Italy.
Ouahiba Benmessaouda was born in Marrakech, Morocco, in 1978. She received the master’s degrees with specialisation in regulation of industrial system from faculty of sciences Semlalia, Marrakech, Morocco. She is preparing her PhD on saturated switching systems.
Fernando Tadeo was born in 1969. He received the B.Sc. degree in Physics in 1992, and in Electronic Engineering in 1994, both from the University of Valladolid, Spain. After he received the M.Sc. degree in Control Engineering from the University of Bradford, U.K., he got his Ph.D. degree from the University of Valladolid, Spain, in 1996. Since 1998 he is a lecturer (‘Profesor Titular’) at the University of Valladolid, Spain. His current research interests include robust control, process control, control of systems with constraints and reinforcement learning, applied in several areas, from neutralization processes to robotic manipulators.
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Benzaouia, A., Benmessaouda, O. & Tadeo, F. Stabilization of uncertain saturated discrete-time switching systems. Int. J. Control Autom. Syst. 7, 835–840 (2009). https://doi.org/10.1007/s12555-009-0516-x
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DOI: https://doi.org/10.1007/s12555-009-0516-x