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IMA Journal of Mathematical Control and Information Advance Access originally published online on October 28, 2005
IMA Journal of Mathematical Control and Information 2006 23(2):225-235; doi:10.1093/imamci/dni055
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Variable structure adaptive control for a class of continuous time-delay systems

Hazem N. Nounou** and Magdi S. Mahmoud***

Department of Electrical Engineering, UAE University, PO Box 17555, Al-Ain, United Arab Emirates

** Corresponding author. Email: hnounou{at}uaeu.ac.ae

*** Email: magdism{at}uaeu.ac.ae

This paper focuses on the design of variable structure adaptive control laws for a class of uncertain time-delay systems with time-varying delays. The uncertainties considered here are parametric and norm bounded. Two main problems are investigated. In the first problem, robust adaptive control results are developed. In the second problem, a robust redesign approach is developed yielding an adaptive-based controller against controller gain perturbations. The objective is to derive tractable synthesis conditions for the variable structure adaptive control laws. Simulation results are obtained through a numerical example.

Keywords: variable structure control; adaptive control; resilient control; time-delay systems; norm-bounded uncertainties.

Received on 15 May 2004. revised on 28 March 2005.


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