Conference Proceedings

Non-asymptotic quality assessment of generalised FIR models

MC Campi, SK Ooi, E Weyer

PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | IEEE | Published : 2002

Abstract

This paper presents new results on quality assessment of models identified from a finite data sample. Suppose that we are given a finite sample of measurements coming from a plant and that we are asked to provide a model of the plant along with a certification of the model quality. The certification of the model quality is a measure of how far the identified model can be from the best model in the selected model class. At the present state of knowledge, this task is not trivial to accomplish, especially in the presence of unmodelled dynamics. In this paper we focus on least squares identification of generalised FIR models and provide new finite sample bounds for the corresponding estimation ..

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