Title: The consideration to the dynamic systems parameter identification

Authors: Eligiusz Mieloszyk; Robert D. Ganko

Addresses: Department of Differential Equations and Mathematics Application, Gdansk University of Technology, Gabriela Narutowicza 11/12, Poland ' Department of Differential Equations and Mathematics Application, Gdansk University of Technology, Gabriela Narutowicza 11/12, Poland

Abstract: In this paper, a concept for continuous-time dynamic systems parameter identification using modulating function approach is presented. It refers to linear as well as selected non-linear systems. It shows the possibility of direct application without converting differential equation. In particular cases direct application can decrease the amount of computation in non-linear system identification, which generally requires Fourier and Hartley transforms and convolutions. Furthermore, it is shown that parameter identification of dynamic systems might be ambiguous due to the signals used in system identification. This ambiguity should be considered before determining the final mathematical model. During the computation we also focused on the online identification which enables to verify the results obtained consequently from updated data and abort the identification in appropriate moment.

Keywords: system identification; dynamic systems; linear models; nonlinear models; mathematical modelling; function approximation; online identification; Hartley modulating functions; HMFs.

DOI: 10.1504/IJMIC.2013.057569

International Journal of Modelling, Identification and Control, 2013 Vol.20 No.4, pp.361 - 367

Published online: 27 Sep 2014 *

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