Title: Complete identification of dynamic physical systems using a five parameter model

Authors: Deepyaman Maiti, Mithun Chakraborty, Amit Konar

Addresses: Department of Electronics and Tele-Communication Engineering, Jadavpur University, 188 Raja S.C. Mallik Road, Kolkata 700 032, India. ' Department of Electronics and Tele-Communication Engineering, Jadavpur University, 188 Raja S.C. Mallik Road, Kolkata 700 032, India. ' Department of Electronics and Tele-Communication Engineering, Jadavpur University, 188 Raja S.C. Mallik Road, Kolkata 700 032, India

Abstract: System identification is important in science and engineering. This contribution proposes a simple yet elegant scheme for identifying a fractional order dynamic system based on its observed response to a standard excitation. Our approach consists in obtaining and solving a set of simultaneous linear equations connecting the parameters to yield the desired estimates. To minimise the effect of noise, we have performed an in-depth analysis of the Grunwald-Letnikov definition and, as far as we know, are the first ones to do so. Results show that the proposed method offers a very high degree of accuracy even for erroneous data.

Keywords: differintegral; fractional order systems; Grunwald-Letnikov definition; system identification; dynamic systems; parameter identification.

DOI: 10.1504/IJIDSS.2008.023007

International Journal of Intelligent Defence Support Systems, 2008 Vol.1 No.3, pp.189 - 224

Available online: 06 Feb 2009 *

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