Weighted moments based identification of continuous-time systems

  • Authors:

  • Dorin Sendrescu;Emil Petre;Dan Popescu;Eugen Bobasu

  • Affiliations:

  • Department of Automatic Control, University of Craiova, Craiova, Romania;Department of Automatic Control, University of Craiova, Craiova, Romania;Department of Automatic Control, University of Craiova, Craiova, Romania;Department of Automatic Control, University of Craiova, Craiova, Romania

  • Venue:
  • ISTASC'07 Proceedings of the 7th Conference on 7th WSEAS International Conference on Systems Theory and Scientific Computation - Volume 7
  • Year:
  • 2007

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Abstract

In this paper we present an algorithm for continuous-time model identification from sample data using the weighted power moments of the output signal of a linear, time-invariant system. While most of the latest methods used in identification utilize a discrete-time model, the moments method is an alternative approach to directly identify a continuous-time model from discrete-time data. The method defines a set of relationships between the power series coefficients of a stable transfer function and the power moments of the output signal of this system. Based on these relations, an algorithm for off-line parameter identification is developed. The method is applied to identify the parameters of a real experimental platform.