Parameter Identification of Fractional Order Nonlinear System Based on Haar Wavelet Operational Matrix

DOI

10.2991/amms-17.2017.2How to use a DOI?

Keywords

nonlinear system; system identification; Haar wavelet; operational matrix

Abstract

A parameter identification method for fractional order nonlinear systems was proposed. The basic idea is to use the Haar wavelets to represent the input and output signals, and then convert the nonlinear differential into a corresponding integral equation. As a result, the parameters of the nonlinear system are determined by minimizing the errors between the output of the real system and that of the identified system. An advantage of the proposed method lies in fastening the identification process by using the multi-resolution nature of the wavelet.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yuanlu Li
AU  - Min Jiang
AU  - Jun Li
PY  - 2017/11
DA  - 2017/11
TI  - Parameter Identification of Fractional Order Nonlinear System Based on Haar Wavelet Operational Matrix
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 5
EP  - 9
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.2
DO  - 10.2991/amms-17.2017.2
ID  - Li2017/11
ER  -