Identification Method for Fractional-Order Systems Based on Haar Wavelet Operational Matrix

Authors

Yuanlu Li, 1. School of Automation, Nanjing University of Information Science & Technology, Nanjing 210044, China;;2. Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing University of Information Science & Technology, Nanjing 210044, China;
Li Teng, 2. Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing University of Information Science & Technology, Nanjing 210044, China;
Baoying Liu, 2. Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology, Nanjing University of Information Science & Technology, Nanjing 210044, China;

Abstract

Abstract: Studies have shown that the dynamical systems can be more accurately described by the fractional-order systems because its order can be any number. That’s why the fractional-order systems are being paid more and more attention. However, how to create a fractional-order system is still in the exploratory stage. Considering the nonlocal features of the fractional differentiation, a method for the fractional-order system identification is proposed by taking the Haar wavelet operational matrix. The proposed method can reduce the dimension of the operational matrix by abandoning the high frequency coefficients of the input and output signals so that the buffer overflow problem of using the operational matrix to identify the systems can be solved.

Recommended Citation

Li, Yuanlu; Teng, Li; and Liu, Baoying (2020) "Identification Method for Fractional-Order Systems Based on Haar Wavelet Operational Matrix," Journal of System Simulation: Vol. 32: Iss. 6, Article 6.
DOI: 10.16182/j.issn1004731x.joss.18-0703
Available at: https://dc-china-simulation.researchcommons.org/journal/vol32/iss6/6

First Page

1032

Revised Date

2019-03-03

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.18-0703

Last Page

1037

CLC

N945.13

Recommended Citation

Li Yuanlu, Li Teng, Liu Baoying. Identification Method for Fractional-Order Systems Based on Haar Wavelet Operational Matrix[J]. Journal of System Simulation, 2020, 32(6): 1032-1037.

DOI

10.16182/j.issn1004731x.joss.18-0703