Robust identification in the disc algebra using rational wavelets and orthonormal basis functions

Abstract

Worst-case identification using corrupted frequency response measurements is considered in a framework which allows one to consider a variety of rational basis functions; these include Laguerre models, Kautz models and rational wavelets. Conditions are given for model sets to be complete in the disc algebra and examples are given. Explicit error bounds are provided for approximate modelling using specific basis functions.