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IMA Journal of Mathematical Control and Information Advance Access originally published online on November 10, 2005
IMA Journal of Mathematical Control and Information 2006 23(2):211-223; doi:10.1093/imamci/dni054
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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.

Simultaneous output feedback stabilization of time-delay systems

Magdi S. Mahmoud1,** and Hazem N. Nounou2,***

1 Canadian International College, Al Tagamoa Al Khamis, New Cairo City, Egypt, 2 Department of Electrical Engineering, UAE University, PO Box 17555, Al-Ain, United Arab Emirates

** Email: magdi_mahmoud{at}cic-cairo.com

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

This paper develops new results to the problem of simultaneous feedback stabilization using static output feedback (SOF) control for a finite collection of linear dynamical systems with unknown state delay. We establish tractable synthesis conditions for nominal SOF controllers and subsequently extend the results to resilient SOF to cope with possible additive controller gain perturbations. In both cases, the design of SOF controllers is based on guaranteed cost and H{infty} approaches. Previous related results are recovered and all the developed results are conveniently cast in the format of linear matrix inequalities. A numerical example is presented.

Keywords: simultaneous stabilization; guaranteed cost control; H{infty} control; time-delay systems; static output feedback; LMIs.

Received on 13 September 2004. revised on 24 November 2004. accepted on 5 January 2005.


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