Real-time solution of optimal uniform approximation polynomial velocity for theodolite

doi:10.37188/OPE.20233124.3549

CIOMP OpenIR

	Real-time solution of optimal uniform approximation polynomial velocity for theodolite
	L. Zhao, G. Yuan, D. Wu, Q. Gao and X. Wang
	2023
发表期刊	Guangxue Jingmi Gongcheng/Optics and Precision Engineering
ISSN	1004924X
卷号	31 期号:24 页码:3549-3558
摘要	The use of a theodolite for real-time velocity calculation has always been a challenge in the field of measurement and control. To improve the real time and high accuracy of theodolite solutions, the laser ranging optoelectronic theodolite project has proposed an optimal uniform approximation polynomial velocity solution method through repeated experiments, which ensures both real-time and accurate velocity. First, a single station theodolite and laser ranging are used to obtain the spatial position of the target, and an improved least squares method is used to fit and filter distance measured by the laser. Then, by solving the velocity model, the initial velocity value is calculated. When using polynomials to approximate the true value of velocity, using conventional expressions can result in significant computational errors. To reduce computational errors, polynomials are combined with cubic Chebyshev polynomials to obtain the optimal uniform approximation polynomial for calculating the velocity function. The optimal uniform approximation polynomial velocity function uses the cubic finite difference method to identify the velocity outliers and obtain real-time and high-precision target velocity values. The indicators of laser-ranging theodolite speed measurement include real time ability (delay1.5 m/s. The Kalman method has good accuracy in calculating velocity;however, owing to the use of a large amount of historical data, the velocity value lags behind. The speed calculated by the optimal uniform approximation polynomial method in this study has good real-time performance and a delay of 50 ms. The mean square deviation of speed accuracy is 0.8 m/s, which meets the equipment’s indicator requirements. © 2023 Chinese Academy of Sciences. All rights reserved.
DOI	10.37188/OPE.20233124.3549
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文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/68232
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	L. Zhao, G. Yuan, D. Wu, Q. Gao and X. Wang. Real-time solution of optimal uniform approximation polynomial velocity for theodolite[J]. Guangxue Jingmi Gongcheng/Optics and Precision Engineering,2023,31(24):3549-3558.
APA	L. Zhao, G. Yuan, D. Wu, Q. Gao and X. Wang.(2023).Real-time solution of optimal uniform approximation polynomial velocity for theodolite.Guangxue Jingmi Gongcheng/Optics and Precision Engineering,31(24),3549-3558.
MLA	L. Zhao, G. Yuan, D. Wu, Q. Gao and X. Wang."Real-time solution of optimal uniform approximation polynomial velocity for theodolite".Guangxue Jingmi Gongcheng/Optics and Precision Engineering 31.24(2023):3549-3558.

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