Membership set identification with periodic inputs and orthonormal regressors

Akcay H., At N.

SIGNAL PROCESSING, vol.86, no.12, pp.3778-3786, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 86 Issue: 12
  • Publication Date: 2006
  • Doi Number: 10.1016/j.sigpro.2006.03.025
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3778-3786
  • Keywords: identification, membership set, orthonormal basis functions, periodic inputs, central algorithms, projection algorithms, RECURSIVE STATE ESTIMATION, ROBUST IDENTIFICATION, SYSTEM-IDENTIFICATION, OPTIMAL-ALGORITHMS, LOCALIZATION, ESTIMATORS, SIZE
  • Anadolu University Affiliated: Yes


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. (c) 2006 Elsevier B.V. All rights reserved.