Volume 45 Issue 3
Apr.  2016
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Song Hong, Zhang Jiaheng, Li Ruiqi, Liu Tengjun, Zhan Shuyue, Yang Ping, Mu Quanquan, Yang Wenjing. Dynamic modeling of input-output coupled piezoelectric fast steering mirror[J]. Infrared and Laser Engineering, 2016, 45(3): 318002-0318002(6). doi: 10.3788/IRLA201645.0318002
Citation: Song Hong, Zhang Jiaheng, Li Ruiqi, Liu Tengjun, Zhan Shuyue, Yang Ping, Mu Quanquan, Yang Wenjing. Dynamic modeling of input-output coupled piezoelectric fast steering mirror[J]. Infrared and Laser Engineering, 2016, 45(3): 318002-0318002(6). doi: 10.3788/IRLA201645.0318002

Dynamic modeling of input-output coupled piezoelectric fast steering mirror

doi: 10.3788/IRLA201645.0318002
  • Received Date: 2015-07-24
  • Rev Recd Date: 2015-08-27
  • Publish Date: 2016-03-25
  • Dynamic modeling of an input-output coupled piezoelectric fast steering mirror(FSM) was discussed, especially in case that the sampling frequency of the sensor is so high (e.g., high-speed camera or position sensitive device is used) that the dynamics of the FSM is significant and can't be neglected. The dynamics and input-output coupling in the FSM was analyzed. A method was proposed to model the dynamics and input-output coupling in the FSM, based on the input-output data and the subspace identification algorithm. Experiments were carried out for data collection and validation of the proposed method. The results show that the variance-account-for(VAF) of the dynamic input-output coupled model is as high as 95%, indicating high accuracy of the model. Comparison was made between the proposed model and static model as well, showing significant improvement on the model accuracy. The result can be applied in optimal feedback controller design for closed-loop FSM systems, to improve the closed-loop performance in laser beam drifting correction.
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    [2] Portillo A A, Ortiz G G, Racho C. Fine pointingcontrol for optical communications[J]. 2001 IEEE Aerospace Conference Proceedings, 2001, 3:1541-1550.
    [3] Cao Z L, Mu Q Q, Hu L F, et al. Preliminary use of nematic liquid crystal adaptive optics with a 2.16-meter reflecting telescope[J]. Optics Express, 2009, 17(4):2530-2537.
    [4] Cao Z L, Mu Q Q, Hu L F, et al. Optimal energy-splitting method for an open-loop liquid crystal adaptive optics system[J]. Optics Express, 2012, 20(17):19331-19342.
    [5] Tan Fengfu, Chen Xiutao, Yao Baidong, et al. Tilt correction system for laser atmospheric propagation[J]. Infrared and Laser Engineering, 2011, 40(3):429-432. (in Chinese)谭逢富, 陈修涛, 姚佰栋, 等. 激光大气传输倾斜校正系统[J]. 红外与激光工程, 2011, 40(3):429-432.
    [6] Sweeney M, Rynkowski G, Ketabchi M, et al. Design considerations for fast steering mirrors(FSMs)[J]. Optical Scanning, 2002, 4773(1):63-73.
    [7] Zhang Xiaojun, Ling Ning. Dynamic analysis of fast piezo steering mirror[J]. High Power Laser Particle Beams, 2003, 15(10):966-968. (in Chinese)张小军, 凌宁. 高速压电倾斜镜动态特性分析[J]. 强激光与粒子束, 2003, 15(10):966-968.
    [8] Liu Min. Research of model and control for fast-steering mirrors[J]. Optical Technique, 2008, 34(2):227-229. (in Chinese)刘敏. 快速倾斜镜的模糊PID自适应控制器设计[J]. 光学技术, 2008, 34(2):227-229.
    [9] Van O P, De M B. Subspace Identification for Linear System:Theory Implementation Applications[M]. London:Kluwer Academic Publishers, 1996.
    [10] Song H, Fraanje R, Schitter G, et al. Controller design for a high-sampling-rate closed-loop adaptive optics system with piezo-driven deformable mirror[J]. European Journal of Control, 2011, 17(3):290-301.
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Dynamic modeling of input-output coupled piezoelectric fast steering mirror

doi: 10.3788/IRLA201645.0318002
  • 1. Ocean College,Zhejiang University,Zhoushan 316021,China;
  • 2. School of Media &Design,Hangzhou Dianzi University,Hangzhou 310018,China;
  • 3. State Key Laboratory of Applied Optics,Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;
  • 4. Blue-Science Opto-Electronics Co. Ltd.,Hangzhou 310018,China;
  • 5. State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,Hangzhou 310012,China

Abstract: Dynamic modeling of an input-output coupled piezoelectric fast steering mirror(FSM) was discussed, especially in case that the sampling frequency of the sensor is so high (e.g., high-speed camera or position sensitive device is used) that the dynamics of the FSM is significant and can't be neglected. The dynamics and input-output coupling in the FSM was analyzed. A method was proposed to model the dynamics and input-output coupling in the FSM, based on the input-output data and the subspace identification algorithm. Experiments were carried out for data collection and validation of the proposed method. The results show that the variance-account-for(VAF) of the dynamic input-output coupled model is as high as 95%, indicating high accuracy of the model. Comparison was made between the proposed model and static model as well, showing significant improvement on the model accuracy. The result can be applied in optimal feedback controller design for closed-loop FSM systems, to improve the closed-loop performance in laser beam drifting correction.

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