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On The Design of a reduced order H filter for systems with unknown delay

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3 Author(s)
Alif, A. ; Henri Poincare Univ., Nancy, France ; Darouach, M. ; Boutayeb, M.

In this note we investigate the filtering problem for linear time-delay systems. Unlike most of the existing results, we consider systems with an unknown and constant delay. From the Razumikhin stability theorem and some judicious mathematical manipulations, a reduced order H filter able to ensure the asymptotic stability and the pro-specified H performances of the filtering process is designed. Also the maximal allowable delay preserving the asymptotic stability is given. A numerical example is provided to show the effectiveness of the proposed technique.

Published in:

American Control Conference, 2005. Proceedings of the 2005

Date of Conference:

8-10 June 2005