Identification of Hammerstein-Wiener models

  • Authors:
  • Adrian Wills;Thomas B. SchöN;Lennart Ljung;Brett Ninness

  • Affiliations:
  • School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW 2308, Australia;Division of Automatic Control, Linköping University, SE-581 83 Linköping, Sweden;Division of Automatic Control, Linköping University, SE-581 83 Linköping, Sweden;School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW 2308, Australia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2013

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Abstract

This paper develops and illustrates a new maximum-likelihood based method for the identification of Hammerstein-Wiener model structures. A central aspect is that a very general situation is considered wherein multivariable data, non-invertible Hammerstein and Wiener nonlinearities, and colored stochastic disturbances both before and after the Wiener nonlinearity are all catered for. The method developed here addresses the blind Wiener estimation problem as a special case.