Application of ridge regression in pose control of telescope primary mirror with sparse aperture
文献类型：期刊论文
| 作者 | H.Cao; J.Zhang; F.Yang; Q.An |
| 刊名 | Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering
 |
| 出版日期 | 2019 |
| 卷号 | 48期号:3 |
| 关键词 | Matrix algebra,Least squares approximations,Mirrors,Number theory |
| ISSN号 | 10072276 |
| DOI | 10.3788/IRLA201948.0318003 |
| 英文摘要 | 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. |
| URL标识 | 查看原文 |
| 源URL | [http://ir.ciomp.ac.cn/handle/181722/63471]  |
| 专题 | 长春光学精密机械与物理研究所_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). |
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