Paper Info
Title
Fractional Order System Modelling With Legendre Wavelet Multi-Resolution Analysis
Abstract
This paper proposes a method of fractional order system (FOS) modelling with Legendre wavelet multi-resolution analysis. The proposed method expands the input and output signals of the system in the form of a Legendre wavelet, and constructs the Legendre wavelet integration operational matrix by use of a block-pulse function. To address the problem of the considerable volume of system identification data and system noise in practical engineering applications, the multi-resolution characteristics of the wavelet are combined to build a wavelet integration operational matrix from the multi-scale space. By continuously discarding the high-frequency information to reduce the length of the identification data, the identification speed of the system is accelerated and the influence of noise on the identification accuracy is reduced. In addition, the least squares method is used to find the optimal order in the identification interval and further accelerate the FOS modelling process. The proposed method rapidly identifies the FOS parameters with high accuracy, and is thus feasible for engineering applications. Its effectiveness is verified by simulation and photoelectric stabilized sighting platform experiment.
Year
DOI
Venue
2021
10.1177/01423312211005865
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Fractional order system modelling, Legendre wavelet, operational matrix, multi-resolution analysis, least squares method
Journal
43
Issue
ISSN
Citations 
12
0142-3312
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Zishuo Wang100.34
Chunyang Wang200.34
Shuning Liang300.34
Qifeng Niu400.34
Shuai Ma500.34