On The Design of A Reduced Order H∞ Filter for Systems with Unknown Delay
نویسندگان
چکیده
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 pre-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.
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