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IMA Journal of Mathematical Control and Information Advance Access originally published online on September 20, 2006
IMA Journal of Mathematical Control and Information 2007 24(3):347-356; doi:10.1093/imamci/dnl030
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

An LMI-based approach for robust stabilization of time delay systems containing saturating actuators

Fatima El Haoussi{dagger} and El Houssaine Tissir{ddagger}

LESSI, Department of Physics, Faculty of science Dhar El Mehraz, B.P. 1796, Fès-Atlas, Morocco

{dagger} Email: elhaous_fati{at}yahoo.fr

{ddagger} Corresponding author. Email: elh_tissir{at}yahoo.fr

Received on September 8, 2005; Accepted on July 24, 2006

This paper deals with the problem of robust stabilization for uncertain systems with input saturation and time delay in the state. The parameter uncertainties are time-varying and unknown but are norm bounded. Sufficient conditions obtained via a linear matrix inequality formulation are stated to guarantee the local stabilization. The method of synthesis consists in determining simultaneously a state feedback control law and an associated domain of safe admissible states for which the stability of the closed-loop system is guaranteed when control saturations effectively occur. Numerical examples are used to demonstrate the effectiveness of the proposed design technique.

Keywords: linear matrix inequality (LMI); robust stabilization; time-delay systems; actuator saturation.


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