Error Analysis and Comparison of the Fiber Optic Gyroscope Scale Factor Obtained by Angular Velocity Method and Angular

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ORIGINAL PAPER

Error Analysis and Comparison of the Fiber Optic Gyroscope Scale Factor Obtained by Angular Velocity Method and Angular Increment Method J. Mou, T. Huang* and X. Shu State Key Laboratory of Modern Optical Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, China Received: 23 February 2020 / Accepted: 27 June 2020  Metrology Society of India 2020

Abstract: The fiber optic gyroscope (FOG) has a broad application prospect in the field of dynamic angle measurement. The scale factor, which is an important indicator of the FOG, directly determines the angle measurement precision. In this paper, the principles of angular velocity method and angular increment method, which have been commonly used in obtaining the scale factor, are introduced, and the error sources that affect the scale factor in both methods are analyzed in detail. The theoretical analysis results show that the main error sources of the scale factor are the relative error of the angular velocity benchmark generated by the rotary table and the value of the selected angular velocity benchmark in the angular velocity method. Other error sources need to be considered only at small angular velocity benchmark. Instead, the main error of the scale factor comes from the position precision of the rotary table in the angular increment method. Finally, the experiments on the scale factors of the FOG in both methods are carried out, and they are applied to the angle measurement experiments, respectively. The angle measurement results show that the deviation of the angle can be limited in 0.002 when the scale factor obtained by the angular increment method is adopted in angle measurement. It is an order of magnitude smaller than the angular velocity method. We can get the conclusion that the scale factor obtained by the angular increment method is more suitable for angle measurement than the angular velocity method. Keywords: Fiber optic gyroscope; Scale factor; Error analysis; Dynamic angle measurement 1. Introduction Attitude positioning technology in advanced manufacturing field is the key to guarantee the construction quality and engineering quality in engineering, especially the dynamic attitude positioning technology. The dynamic attitude positioning technology is mainly used for navigation currently [1, 2]. In order to realize the high-precision dynamic attitude positioning, the research on the dynamic angle measurement in high precision must be carried out firstly. There are many existing dynamic angle measurement methods, such as laser interference technology [3, 4], angle encoder [5], moire fringe technology [6], autocollimator technology [7], CCD image and computer vision technology [8]. However, these methods have their own shortcomings when applied to dynamic angle measurement. For

the laser interference technology and autocollimator technology, the angle measurement range is small. The dynamic range and the bandwidth of the angle encoder and moire fringe technology are not high e