Application of ridge regression in pose control of telescope primary mirror with sparse aperture

doi:10.3788/IRLA201948.0318003

	Application of ridge regression in pose control of telescope primary mirror with sparse aperture
	H.Cao; J.Zhang; F.Yang; Q.An
	2019
发表期刊	Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering
ISSN	10072276
卷号	48 期号:3
摘要	The influence of the position of the sparse aperture mirror hard spot and the layout of the edge sensor on the precision of the relative pose control was studied. Using the geometry characteristic of sparse aperture, a primary mirror model composed of seven circular apertures was established and the control matrix of relative pose among apertures was derived. The generalized least squares method was used to solve this problem, considering the large condition number of control matrix, ridge regression was introduced and the intrinsic bound on the error function of the control matrix was also given. The possible 128 location strategies between edge sensors and hard spots and the effect of geometric distance on the condition number of control matrix were analyzed. The results show that the layout of the hard points and edge sensors is intrinsically linked to the coefficient matrix, the sparse aperture is serious Multi-Collinearity with respect to the coefficient matrix of pose control, and the normal matrix appears seriously ill-conditioned. The condition number of normal matrix are reduced significantly when the distances between the adjacent two edge sensors while the layout is fixed. For the ill-conditioned problem of the normal matrix, the ridge regression is used to effectively suppress the ill-conditioned characteristic by choosing appropriate ridge parameters. Using this method, the redundant edge sensor structure can be effectively used to realize data fusion and ensure the stability and reliability of the measurement system. 2019, Editorial Board of Journal of Infrared and Laser Engineering. All right reserved.
关键词	Matrix algebra,Least squares approximations,Mirrors,Number theory
DOI	10.3788/IRLA201948.0318003
URL	查看原文
收录类别	EI
引用统计
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/63471
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	H.Cao,J.Zhang,F.Yang,et al. Application of ridge regression in pose control of telescope primary mirror with sparse aperture[J]. Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering,2019,48(3).
APA	H.Cao,J.Zhang,F.Yang,&Q.An.(2019).Application of ridge regression in pose control of telescope primary mirror with sparse aperture.Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering,48(3).
MLA	H.Cao,et al."Application of ridge regression in pose control of telescope primary mirror with sparse aperture".Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering 48.3(2019).

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Application of ridge（2736KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载