On the problem of ambiguities in maximum likelihood identification

  • Authors:
  • T. Bohlin

  • Affiliations:
  • IBM Nordic Laboratory, Lidingö, Sweden

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1971

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Abstract

This contribution derives new large-sample properties of the result of Maximum-Likelihood identification of a discrete-time process, characterized by an unknown, rational input-transfer function G and an unknown, rational noise-transfer function F. The purpose is to develop some means to detect possible false results of such an identification, caused by unknowingly violating prerequisites for the identification, e.g. by incorrect model structure or order, or having reached a local maximum in the search. Also, the effect of linear feedback and the identifiability in closed loop are discussed. Results are applied to artificially generated data and to plant data-collected in closed loop from the drying process in paper making.