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Abstract: We address in this paper the approximation problem of distributed delays.Such elements are convolution operators with kernel having bounded support, andappear in the control of time-delay systems. From the rich literature on thistopic, we propose a general methodology to achieve such an approximation. Forthis, we enclose the approximation problem in the graph topology, and work withthe norm defined over the convolution Banach algebra. The class of rationalapproximates is described, and a constructive approximation is proposed.Analysis in time and frequency domains is provided. This methodology isillustrated on the stabilization control problem, for which simulations resultsshow the effectiveness of the proposed methodology.

Autor: Hao Lu, Michael Di Loreto, Damien Eberard, Jean-Pierre Simon


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