An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM

The online calibration method of a two-dimensional (2D) galvanometer requires both high precision and better real-time performance to meet the needs of moving target position measurement, which presents some challenges for traditional calibration methods. In this paper, a new online calibration meth...

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Main Authors: Wugang Zhang, Wei Guo, Chuanwei Zhang, Shuanfeng Zhao
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/19/6/1353
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author Wugang Zhang
Wei Guo
Chuanwei Zhang
Shuanfeng Zhao
author_facet Wugang Zhang
Wei Guo
Chuanwei Zhang
Shuanfeng Zhao
author_sort Wugang Zhang
collection DOAJ
description The online calibration method of a two-dimensional (2D) galvanometer requires both high precision and better real-time performance to meet the needs of moving target position measurement, which presents some challenges for traditional calibration methods. In this paper, a new online calibration method is proposed using the wavelet kernel extreme learning machine (KELM). Firstly, a system structure is created and its experiment setup is established. The online calibration method is then analyzed based on a wavelet KELM algorithm. Finally, the acquisition methods of the training data are set, two groups of testing data sets are presented, and the verification method is described. The calibration effects of the existing methods and wavelet KELM methods are compared in terms of both accuracy and speed. The results show that, for the two testing data sets, the root mean square errors (RMSE) of the Mexican Hat wavelet KELM are reduced by 16.4% and 38.6%, respectively, which are smaller than that of the original ELM, and the standard deviations (Sd) are reduced by 19.2% and 36.6%, respectively, indicating the proposed method has better generalization and noise suppression performance for the nonlinear samples of the 2D galvanometer. Although the online operation time of KELM is longer than ELM, due to the complexity of the wavelet kernel, it still has better real-time performance.
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spelling doaj.art-6b0ed687264e4fc4950f158b114a5ce42022-12-22T03:58:35ZengMDPI AGSensors1424-82202019-03-01196135310.3390/s19061353s19061353An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELMWugang Zhang0Wei Guo1Chuanwei Zhang2Shuanfeng Zhao3School of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, ChinaSchool of Mechanical Engineering, Xi’an University of Science and Technology, Xi’an 710054, ChinaThe online calibration method of a two-dimensional (2D) galvanometer requires both high precision and better real-time performance to meet the needs of moving target position measurement, which presents some challenges for traditional calibration methods. In this paper, a new online calibration method is proposed using the wavelet kernel extreme learning machine (KELM). Firstly, a system structure is created and its experiment setup is established. The online calibration method is then analyzed based on a wavelet KELM algorithm. Finally, the acquisition methods of the training data are set, two groups of testing data sets are presented, and the verification method is described. The calibration effects of the existing methods and wavelet KELM methods are compared in terms of both accuracy and speed. The results show that, for the two testing data sets, the root mean square errors (RMSE) of the Mexican Hat wavelet KELM are reduced by 16.4% and 38.6%, respectively, which are smaller than that of the original ELM, and the standard deviations (Sd) are reduced by 19.2% and 36.6%, respectively, indicating the proposed method has better generalization and noise suppression performance for the nonlinear samples of the 2D galvanometer. Although the online operation time of KELM is longer than ELM, due to the complexity of the wavelet kernel, it still has better real-time performance.http://www.mdpi.com/1424-8220/19/6/1353two-dimensional galvanometeronline calibrationwavelet kernel extreme learning machine
spellingShingle Wugang Zhang
Wei Guo
Chuanwei Zhang
Shuanfeng Zhao
An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
Sensors
two-dimensional galvanometer
online calibration
wavelet kernel extreme learning machine
title An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
title_full An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
title_fullStr An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
title_full_unstemmed An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
title_short An Online Calibration Method for a Galvanometric System Based on Wavelet Kernel ELM
title_sort online calibration method for a galvanometric system based on wavelet kernel elm
topic two-dimensional galvanometer
online calibration
wavelet kernel extreme learning machine
url http://www.mdpi.com/1424-8220/19/6/1353
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