Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31275
Title: A novel Fourier-Eight-Sensor (F8S) method for separating straightness, yawing and rolling motion errors of a linear slide
Authors: Fung, EHK
Zhu, M
Zhang, XZ
Wong, WO 
Issue Date: 2014
Source: Measurement : journal of the international measurement confederation, 2014, v. 47, no. 1, p. 777-788
Abstract: A novel method called the Fourier-Eight-Sensor (F8S) method is proposed for the separation of the straightness, yawing and rolling motion errors as well as the profiles of a linear slide. Eight distance sensors are positioned on a vertical stage in two lines parallel to the target profiles with five sensors in the lower row and the other three in the upper row. The outputs of the sensors are fused together at different times to eliminate the dependence of motion errors. The method adopts a two-stage approach. First, the profile faced by the lower row sensors is represented by Fourier series the coefficients of which are obtained by matrix inversion. Then, another Fourier series is used to represent the difference between the two target profiles. By fusing the outputs of the three sensors in the upper row and their corresponding counterparts in the lower row, the coefficients of the Fourier series are determined by the Fourier series based error separation technique. In this way, different error components can be successfully separated from the sensor outputs. The effectiveness of the method is validated by simulation and experiment.
Keywords: Error separation
Multi-sensor
Precision slide
Profile
Straightness
Yaw and roll
Publisher: Elsevier
Journal: Measurement : journal of the international measurement confederation 
ISSN: 0263-2241
DOI: 10.1016/j.measurement.2013.09.049
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