Model identification for K mirror turntable of 2 m telescope

Xia Peipei; Deng Yongting; Wang Zhiqian; Li Hongwen; Wang Xianjun

doi:10.3788/IRLA201847.0318001

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.

Model identification for K mirror turntable of 2 m telescope

1. Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;

2. University of Chinese Academy of Sciences,Beijing 100049,China

Received Date: 2017-10-05

Rev Recd Date: 2017-11-05

Publish Date: 2018-03-25

Key words:

Abstract: 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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Reference (20)

[1]	Wang Zhichen, Zhao Yongzhi, Zhou Chao. Design of K mirror for alt-az telescope[J]. Acta Photonica Sinica, 2012, 41(7):762-765. (in Chinese)
[2]	Zhang Jingxu. Overview of structure technologies of large aperture ground-based telescopes[J]. Chinese Optics, 2012, 5(4):327-336. (in Chinese)
[3]	Wang Jianli. Study on TV tracking system of O-E theodolite to track and acquire fast moving targets[D]. Changchun:Changchun Institute of Optics, Fine Mechanics and Physics. Chinese Academy of Sciences, 2002. (in Chinese)
[4]	Hu Haojun. Line-of-sight stabilization of acquisition, tracking and pointing system on moving bed[D]. Changsha:National University of Defense Technology, 2002. (in Chinese)
[5]	Song Yan, Gao Huibin, Zhang Shumei. The analysis and design of low velocity estimation based on observer[C]//International Conference on Automation and Logistics Shenyang, China, 2009:766-771.
[6]	Gawronski W K. Modeling and Control of Antennas and Telescopes[M]. US:Springer Science Business Media, 2008.
[7]	Gawronski W K. Advanced Structural Dynamics and Active Control of Structures[M]. New York:Springer, 2004.
[8]	Juang J N, Pappa R S. An eigensystem realization algorithm for modal parameter identification and model reduction[J]. Journal of Guidance, Control, and Dynamics, 1985, 8(5):620-627.
[9]	Li Jun, Xiu Jihong, Huang Pu, et al. Identification of linear approximation for scanning mirror system of aerial camera[J]. Optics and Precision Engineering, 2013, 21(7):1771-1779. (in Chinese)
[10]	Hei Mo, Fan Shixun, Liao Hongbo, et al. Modeling of precision harmonic drive system[J]. Optics and Precision Engineering, 2014, 22(7):1843-1848. (in Chinese)
[11]	Wang Hao, Liu Jinghong, Deng Yongting, et al. Control model identification of opto-electronic tracking turntable[J]. Infrared and Laser Engineering, 2016, 45(6):0601007. (in Chinese)
[12]	Wang Shuai, Chen Tao, Li Hongwen. Frequency characteristic test and model identification for O-E tracking servo system[J]. Optics and Precision Engineering, 2009, 17(1):79-84. (in Chinese)
[13]	Zhao Xia, Yao Yu, Fang Qiang. The study on the hierarchical identification method in the debugging of turntable servo system[J]. Control Theory and Applications, 2002, 19(2):229-234. (in Chinese)
[14]	Qin Laian, Hou Zaihong, Wu Yi. Transfer function identification method and its application in photoelectrical tracking system[J]. Infrared and Laser Engineering, 2012, 41(10):2810-2816. (in Chinese)
[15]	Wang Zhenbin, Cao Guangyi, Zhu Xinjian. Identification algorithm for fractional order systems based on state spacedecomposition[J]. System Engineering and Electronics, 2004, 26(12):1848-1851. (in Chinese)
[16]	Wang Wanting. Research on composite control strategy based on high precision identification[D]. Changchun:Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2016. (in Chinese)
[17]	Wang Jianli, Chen Juan, Chen Tao, et al. The derivation of the position differential digital velocity transfer function[J]. Optics and Precision Engineering, 2001, 9(1):74-76. (in Chinese)
[18]	Shao Minqiang, Chen Weidong, Che Chongxi. Experiment study on the active vibration control using H method based on ERA identification model[J]. Journal of Vibration and Shock, 2017, 36(2):72-76. (in Chinese)
[19]	Zhang Min, Chen Tao, Li Hongwen, et al. Frequency characteristic test for the plant of rotator servo system[J]. Infrared and Laser Engineering, 2016, 45(5):0531003. (in Chinese)
[20]	Ding Feng. System identification. Part A:Introduction to the identification[J]. Journal of Nanjing University of Information Science and Technology(Natural Science Edition), 2011, 3(1):1-22. (in Chinese)

Model identification for K mirror turntable of 2 m telescope

doi: 10.3788/IRLA201847.0318001

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