使用 RLS 算法和自适应遗忘因子优化的可变形镜在线系统识别混合方法

IF 3.2 2区 物理与天体物理 Q2 OPTICS
Optics express Pub Date : 2024-08-29 DOI:10.1364/oe.529753
M. A. Aghababayee, M. Mosayebi, H. Saghafifar
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引用次数: 0

摘要

本研究提出了一种基于具有自适应遗忘因子(AFFRLS)的递归最小二乘算法的在线系统识别(SI)方法,用于精确识别可变形镜(DM)的动态行为。利用 AFFRLS,可获得最小化与输入和输出信号相关的加权线性最小二乘法成本函数的自适应表达式。首先,将 COMSOL 多物理场软件中选定的识别信号应用于 DM 的有限元 (FE) 模型。然后,使用 COMSOL Livelink for MATLAB 将 DM 变形值导入 MATLAB。随后,使用 AFFRLS 算法并通过优化自适应遗忘因子对系统进行在线分析和识别。最后,为了进行验证,通过应用新的输入信号,将 DM 的输出值与所提议模型的输出值进行评估,以找到最佳的自适应遗忘因子参数。在这项工作中,首次使用 AFFRLS 算法识别了 DM 的动态,尽管该算法存在一些缺点,但其准确性是可以接受的。此外,研究结果表明,AFFRLS 算法在精度、简便性和降噪方面具有明显优势,尽管由于计算量大,速度略有下降。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Hybrid approach for deformable mirror online system identification using RLS algorithm and adaptive forgetting factor optimization
In this study, an online system identification (SI) approach based on a recursive least squares algorithm with an adaptive forgetting factor (AFFRLS) is proposed to accurately identify the dynamic behavior of a deformable mirror (DM). Using AFFRLS, an adaptive expression that minimizes a weighted linear least squares cost function relating to the input and output signals is obtained. First, the selected identification signals in COMSOL multi-physics software were applied to the finite element (FE) model of the DM. Then, using the COMSOL Livelink for MATLAB, the values of DM deformations are imported into MATLAB. Subsequently, the system is analyzed and identified online using the AFFRLS algorithm and through the optimization of an adaptive forgetting factor. Finally, for validation, the output values of DM have been evaluated with the output values of the proposed model by applying new input signals in order to find the optimal adaptive forgetting factor parameters. For the first time, in this work, the DM’s dynamics has been identified using the AFFRLS algorithm, which has acceptable accuracy despite some drawbacks. In addition, the results show that the AFFRLS method has a significant dominance in terms of accuracy, simplicity and noise reduction despite the slight decrease in speed due to the high computational load.
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来源期刊
Optics express
Optics express 物理-光学
CiteScore
6.60
自引率
15.80%
发文量
5182
审稿时长
2.1 months
期刊介绍: Optics Express is the all-electronic, open access journal for optics providing rapid publication for peer-reviewed articles that emphasize scientific and technology innovations in all aspects of optics and photonics.
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