Static pointing error analysis of electro-optical detection systems

Tang, Qijian; Wang, Xiangjun; Yang, Qingping

doi:10.1177/0954405414551107

Cited by 11 publications

(9 citation statements)

References 15 publications

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“…However, in order to improve its pointing accuracy further, it is necessary to analyze errors that result from the platform's misalignment error, nonperpendicularity, initialization error and so on, and then relevant compensation models can be adopted. The detailed information has been presented and reported in Hong et al 9 and Tang et al 17…”

Section: Resultsmentioning

confidence: 99%

Calibration error analysis of inertially stabilized platforms using quaternions and octonions in rotation decomposition

Tang

Wang

Yang

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part B:

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In the calibration process of the inertially stabilized platforms with a high-precision turntable and an autocollimator, significant calibration errors can result from the axis misalignments between the inertially stabilized platforms and the turntable. Based on the relationship between spatial rotations and quaternions or octonions, this article proposes a representation using octonions to realize the decomposition of the rotation axis in two perpendicular axes and subsequently derives the calibration error model. The test results demonstrated that the error is significantly improved after compensation. The azimuth variance is reduced from 0.1379(°) 2 to 0.0492(°) 2 , which offers a more accurate set of data for further compensation based on the error model of the platform itself.

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Section: Resultsmentioning

confidence: 99%

Calibration error analysis of inertially stabilized platforms using quaternions and octonions in rotation decomposition

Tang

Wang

Yang

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…All other methods also measured the error motions of the top rotary table or the external spindle. 13–25 The eccentricity and the tilt of the top table relative to the axis of rotation, that is, the inner spindle, were ignored. From equation (2), it can be estimated that even a very small radial motion of the table in the tangential direction of the grating disk will generate an obvious error of the grating, because the encoder size is normally small.…”

Section: Geometric Error Measurementsmentioning

confidence: 99%

“…It is known that longer testing times result in increased environmental influence. Therefore, many previous studies have proposed various multi-degree-of-freedom (MDOF) measuring methods for an axis of rotation (for spindles) and a rotary table, 13–25 but they all investigated the error separation techniques among combined errors. The rotary angular positioning error caused by other effective errors, such as tilt and radial errors, has little been investigated.…”

Section: Introductionmentioning

confidence: 99%

A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

Fan

2017

Proceedings of the Institution of Mechanical Engineers, Part B:

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Abbe error is the inherent systematic error in linear displacement measurement due to the measuring axis being out of line with the moving axis. The resulting gap is called the Abbe offset, which will multiply the angular pitch error of the moving stage to become the positioning error of the linear stage along the moving axis. Analogous to the Abbe principle, in the rotary stage, the rotary encoder is used to detect the worktable’s rotational angle. The encoder is normally mounted at a distance from the bearing. This distance can be also regarded as Abbe offset. Due to the inherent tilt and radial motions of the axis of rotation, the encoder’s rotating component, that is, the circular grating, would result in a lateral displacement relative to its sensing head that is fixed inside the stage housing. The actual measured angle is, therefore, different from the commanded angle, causing the angular positioning error of the rotary stage in machine tools and open-loop controlled system. In this article, the angular positioning error of the rotary stage caused by the tilt motion error and radial motion error of the spindle, the offset and the size of encoder is analyzed and experimentally verified.

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“…Huang et al [3] analyzed the errors from a telescope's kinematics using a semi-parametric regression model to eliminate the geometric and nonlinear errors. Tang et al [4] analyzed geometric error sources using quaternions. They proposed a semi-parametric model based on a least square collocation method.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Correction of Pointing Errors in Gimbals-Type Optical Communication Terminals on Motion Platforms

Peng

Wang

et al. 2021

IEEE Photonics J.

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In free-space optical (FSO) communication, high-precision pointing is a critical technology required for rapid acquisition to reduce link establishment time and increase communication time. FSO communication on a motion platform is necessary to expand the communication area and to promote the establishment of a global communication network. However, the pointing accuracy of an optical communication terminal on a motion platform is low due to numerous error sources and error coupling. This paper evaluates the error sources and proposes a pointing model to avoid problems resulting from error coupling. This proposed pointing model was designed to improve the pointing accuracy of a gimbals-type optical communication terminal (GOCT) on a motion platform. The effectiveness of the proposed pointing model was verified by tracking star experiments. The modified residual error of the proposed point model was 94.8 μrad compared to 1324.2 μrad without correction. Additionally, the modified residual error was 94.8 μrad of the proposed pointing model compared to 140.2 μrad of the existing model. The actual open-loop pointing error was reduced from 150.4 μrad of the existing model to 101.3 μrad of the proposed model. Thus, the pointing accuracy of a GOCT on a motion platform was significantly improved after correction by the proposed pointing model.

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Static pointing error analysis of electro-optical detection systems

Cited by 11 publications

References 15 publications

Calibration error analysis of inertially stabilized platforms using quaternions and octonions in rotation decomposition

Calibration error analysis of inertially stabilized platforms using quaternions and octonions in rotation decomposition

A novel method of angular positioning error analysis of rotary stages based on the Abbe principle

Modeling and Correction of Pointing Errors in Gimbals-Type Optical Communication Terminals on Motion Platforms

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