Infrared and Laser Engineering, Volume. 47, Issue 3, 318001(2018)

Model identification for K mirror turntable of 2 m telescope

Xia Peipei1,2、*, Deng Yongting1, Wang Zhiqian1, Li Hongwen1, and Wang Xianjun1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    A model identification method based on the singular value decomposition and eigensystem realization algorithm(ERA) using Hankel matrix, was proposed for K mirror turntable of 2 m telescope to identify the model′s order and parameters. Firstly, the plant was excited using the sweep signal and the position feedback signal was recorded, the test data were analyzed through the power spectrum density function to get the frequency response function of the system. Secondly, the singular value decomposition(SVD) was adopted to identify the Hankel matrix of the system to acquire the order model of the K mirror turntable. Finally, the ERA was adopted to identify the Hankel matrix to acquire the model parameters of the system. The experiment results show that the minimum order of the K mirror turntable is 6, the magnitude phase measurement accuracies of transfer function are ±0.31 dB and ±0.87° in middle frequency range respectively, compared with the hierarchical identification method, the identification accuracies are improved 50.7% and 23% separately. Results indicate that the proposed method can determinate a balanced and minimal order state-space representation equal to the system′s dynamic performance, which is practical and effective in model order determination and parameter estimation.

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    Xia Peipei, Deng Yongting, Wang Zhiqian, Li Hongwen, Wang Xianjun. Model identification for K mirror turntable of 2 m telescope[J]. Infrared and Laser Engineering, 2018, 47(3): 318001

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    Paper Information

    Category: 光学设计及仿真

    Received: Oct. 5, 2017

    Accepted: Nov. 5, 2017

    Published Online: Apr. 26, 2018

    The Author Email: Peipei Xia (peiwaer07@163.com)

    DOI:10.3788/irla201847.0318001

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