IMA Journal of Mathematical Control and Information Advance Access published online on August 28, 2006
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnl022
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1 Texas A&M University at Qatar, Doha, Qatar
* To whom correspondence should be addressed. This paper focuses on the development of a robust adaptive sliding-mode scheme for the control of a class of uncertain time-delay systems with time-varying delays. The uncertainties are parametric and norm-bounded. Two main problems are investigated. In the first problem, a sliding-mode observer-based output feedback control scheme is developed. In the second problem, a robust redesign approach is developed yielding an adaptive-based controller against controller and sliding-mode observer gain perturbations. The objective is to derive stability conditions for the closed-loop system in the presence of gain perturbations. Simulation results are obtained through a numerical example.
Received June 28, 2005
Accepted July 20, 2006
Article
Robust adaptive sliding-mode control for continuous time-delay systems
Mohamed N. Nounou 1 *, Hazem N. Nounou 2, and Magdi S. Mahmoud 3
2 Department of Electrical Engineering, UAE University, PO Box 17555, Al-Ain, United Arab Emirates
3 C-Group Hi-Tech Consultants, Dokki-Giza, Egypt
Mohamed N. Nounou, E-mail: mohamed.nounou{at}qatar.tamu.edu
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