动态双输入双输出的倾斜镜系统建模

宋宏; 张家恒; 杨萍; 黄豪彩; 詹舒悦; 刘腾君; 郭乙陆; 王杭州; 黄慧; 穆全全; 方美芬; 杨明远

doi:10.1631/FITEE.1601221

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动态双输入双输出的倾斜镜系统建模

常规文章 | Updated：2022-05-19

- 动态双输入双输出的倾斜镜系统建模
- Modeling of a dynamic dual-input dual-output fast steering mirror system
- 信息与电子工程前沿（英文） 2017年18卷第10期页码：1488-1498
- Affiliations：
  
  Ocean College, Zhejiang University, Zhoushan 316021, China
  School of Digital Media & Design, Hangzhou Dianzi University, Hangzhou 310018, China
  State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Jilin 130033, China
  Blue-Science Opto-Electronics Co. Ltd., Hangzhou 310018, China
  Core Tomorrow Science & Technology Co. Ltd., Harbin 150080, China
- Author bio：
  
  Ping YANG, yangping@hdu.edu.cn
- Funds：
  
  Project supported by the National Natural Science Foundation of China (No. 11304278) and the National High-Tech R&D Program (863) of China (No. 2014AA093400)
- DOI：10.1631/FITEE.1601221
  中图分类号： TP273
- 收稿：2016-05-01，
  
  修回：2017-10-18，
  
  纸质出版：2017-10
- Accepted：
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宋宏, 张家恒, 杨萍, 等. 动态双输入双输出的倾斜镜系统建模[J]. 信息与电子工程前沿（英文）, 2017,18(10):1488-1498.

Hong SONG, Jia-heng ZHANG, Ping YANG, et al. Modeling of a dynamic dual-input dual-output fast steering mirror system[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(10): 1488-1498.
宋宏, 张家恒, 杨萍, 等. 动态双输入双输出的倾斜镜系统建模[J]. 信息与电子工程前沿（英文）, 2017,18(10):1488-1498. DOI： 10.1631/FITEE.1601221.

Hong SONG, Jia-heng ZHANG, Ping YANG, et al. Modeling of a dynamic dual-input dual-output fast steering mirror system[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(10): 1488-1498. DOI： 10.1631/FITEE.1601221.

摘要

本文主要探究了在传感器采样频率较高（如高速相机、位置传感器中）、倾斜镜动态特性不可忽略的情况下，如何基于实验数据建立开环倾斜镜系统的动态耦合数学模型的问题。分析了系统的动态特性以及输入与输出之间的耦合，提出了基于倾斜镜系统的输入输出数据、采用子空间辨识算法建立倾斜镜系统动态耦合数学模型的方法，并通过实验评估了模型的准确性和建模方法的可行性。实验结果显示，通过该方法所建立的倾斜镜动态耦合模型的VAF（variance-accounted-for）值达到了97%，其准确性相比传统的静态模型有了很大提高，验证了建模方法的可行性。研究成果可用于闭环倾斜镜系统优化反馈控制器的设计，提高系统对于光束偏移矫正的性能。

Abstract

A modeling method is proposed for a dynamic fast steering mirror (FSM) system with dual inputs and dual outputs. A physical model of the FSM system is derived based on first principles

describing the dynamics and coupling between the inputs and outputs of the FSM system. The physical model is then represented in a state-space form. Unknown parameters in the state-space model are identified by the subspace identification algorithm

based on the measured input-output data of the FSM system. The accuracy of the state-space model is evaluated by comparing the model estimates with measurements. The variance-accounted-for value of the state-space model is better than 97%

not only for the modeling data but also for the validation data set

indicating high accuracy of the model. Comparison is also made between the proposed dynamic model and the conventional static model

where improvement in model accuracy is clearly observed. The model identified by the proposed method can be used for optimal controller design for closed-loop FSM systems. The modeling method is also applicable to FSM systems with similar structures.

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