Membership set identification with periodic inputs and orthonormal regressors

Abstract

In this paper, we study the central and the projection algorithms in membership-set estimation with periodic input signals and orthonormal basis functions for the special case that the number of the estimated parameters equals the input period (or overparameterized model structures). First, we derive explicit formulae for a central algorithm and the diameter of the membership set. Then, we characterize the set of all projection algorithms