Third-order cumulants based methods for continuous-time errors-in-variables model identification

  • Authors:
  • Stéphane Thil;Hugues Garnier;Marion Gilson

  • Affiliations:
  • Centre de Recherche en Automatique de Nancy-Nancy-Université, CNRS, Faculté des Sciences et Techniques, BP 239-54506 Vanduvre-lès-Nancy Cedex, France;Centre de Recherche en Automatique de Nancy-Nancy-Université, CNRS, Faculté des Sciences et Techniques, BP 239-54506 Vanduvre-lès-Nancy Cedex, France;Centre de Recherche en Automatique de Nancy-Nancy-Université, CNRS, Faculté des Sciences et Techniques, BP 239-54506 Vanduvre-lès-Nancy Cedex, France

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2008

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Abstract

In this paper, the problem of identifying stochastic linear continuous-time systems from noisy input/output data is addressed. The input of the system is assumed to have a skewed probability density function, whereas the noises contaminating the data are assumed to be symmetrically distributed. The third-order cumulants of the input/output data are then (asymptotically) insensitive to the noises, that can be coloured and/or mutually correlated. Using this noise-cancellation property two computationally simple estimators are proposed. The usefulness of the proposed algorithms is assessed through a numerical simulation.