Parametric identification of linear systems using Laplace transform

  • Authors:
  • B. O. Kachanov

  • Affiliations:
  • Zhukovskii Air Force Engineering Academy, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2009

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Abstract

Proposed was a method for identification of the transfer function coefficients of the stationary one-input one-output linear system using the Laplace images of the input and output measurements. The measurement processes are considered over the given set of values of the transformation parameter. The a posteriori density of distribution of the vector of identified parameters was determined with regard for the autocovariance functions of the measurement errors. A generalization to the multiple-input multiple-output linear system with perturbations and measurements of the state coordinates was described.