Volume 47 Issue 10
Oct.  2018
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Fan Zhanbin, Dai Yifan, Tie Guipeng, Guan Chaoliang, Ning Yu, Liu Junfeng. Hysteresis characteristics and closed loop correction of unimorph deformable mirror[J]. Infrared and Laser Engineering, 2018, 47(10): 1020001-1020001(6). doi: 10.3788/IRLA201847.1020001
Citation: Fan Zhanbin, Dai Yifan, Tie Guipeng, Guan Chaoliang, Ning Yu, Liu Junfeng. Hysteresis characteristics and closed loop correction of unimorph deformable mirror[J]. Infrared and Laser Engineering, 2018, 47(10): 1020001-1020001(6). doi: 10.3788/IRLA201847.1020001
shu

Hysteresis characteristics and closed loop correction of unimorph deformable mirror

doi: 10.3788/IRLA201847.1020001
  • 1.

    College of Mechatronics Engineering and Automation,National University of Defense Technology,Changsha 410073,China;

  • 2.

    Hunan Key Laboratory of Ultra-precision Machining Technology,Changsha 410073,China;

  • 3.

    College of Photon-electron Science and Engineering,National University of Defense Technology,Changsha 410073,China

  • Received Date: 2018-05-05
  • Rev Recd Date: 2018-06-11
  • Publish Date: 2018-10-25
  • The unimorph deformable mirror (DM) is widely applied in adaptive optics, which utilizes the lateral reverse piezoelectric effect of piezoelectric ceramics to drive the mirror to deform. The hysteresis curve of the deformable mirror is a special butterfly shape in the high electric field strength, which increases the difficulty of control, and the deformable mirror cannot work normally. The theory of piezoelectric ceramic polarization and the hysteresis loop of ferroelectric materials were analyzed so that the cause of the butterfly curve could be confirmed. The experimental results show that the covariate field of the DM is between -500 and -400 V/mm, and the hysteresis curve is normalized willow shape. Then a static PID closed loop correction system was designed for the characteristics of the hysteresis curve, and the correction experiment was carried out. The results show that the linearity is obviously improved, and the hysteresis rate is reduced to 1.8% by the PID closed loop correction.
  • [1] Zhou Hong. Reserch on bimorph deformable mirror and its application in adaptive optics[D]. Beijing:University of Chinese Academy of Sciences, 2013. (in Chinese)周虹. 双压电片变形反射镜研制与应用研究[D]. 北京:中国科学院大学, 2013.
    [2] Ning Y, Chen B, Jiang W H. Decoupling algorithm of a double-layer bimorph deformable mirror:analysis and experimental test[J]. Appl Opt, 2009, 48:3154-3159.
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    [4] Rausch P, Verpoort S, Wittrock U, et al. Unimorph deformable mirror for space telescope:design and manufacturing[J]. Opt Express, 2015, 23(15):19469-19477.
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    [7] Cui Yuguo, Sun Baoyuan, Dong Weijie, et al. Causes for hysteresis and nonlinearity of piezoelectric ceramic actuators[J]. Optics and Precision Engineering, 2003, 11(3):270-275. (in Chinese)崔玉国, 孙宝元, 董维杰, 等. 压电陶瓷执行器迟滞与非线性成因分析[J]. 光学精密工程, 2003, 11(3):270-275.
    [8] Zhu Wei. Hysteretic modeling, linearization and control method for piezoelectric ceramic stack actuators and piezoelectric ceramic stack actuators' based systems[D]. Chongqing:Chongqing University, 2012. (in Chinese)朱炜. 压电陶瓷叠堆执行器及其系统的迟滞现象模拟、线性化及控制方法的研究[D]. 重庆:重庆大学, 2012.
    [9] Wang Geng. Study on correction of nonlinearity of piezoelectric actuator[D]. Beijing:University of Chinese Academy of Sciences, 2013. (in Chinese)王耿. 压电驱动器非线性校正技术研究[D]. 北京:中国科学院大学, 2013.
    [10] Wang Geng, Guan Chunlin, Zhang Xiaojun, et al. Design and control of miniature piezoelectric actuator based on strain gauge sensor[J]. Optics and Precision Engineering, 2013, 21(3):709-716. (in Chinese)王耿, 官春林, 张小军, 等. 应变式微型精密压电驱动器的一体化设计及其PID控制[J]. 光学精密工程, 2013, 21(3):709-716.
    [11] Wang Shifan. Eleetrostrietive effects in relaxed ferroelectric PZT:La[J]. Piezoelectrics Acoustoopics, 1982(5):43-50. (in Chinese)王世蕃. 弛豫铁电体PZT:La陶瓷的电致伸缩效应的研究[J]. 压电与声光, 1982(5):43-50.
    [12] Wu Weibin, Dai Yifan, Guan Chaoliang, et al. Optimization design for transversal piezoelectric effect deformable mirror[J]. Infrared and Laser Engineering, 2016, 45(8):0818003. (in Chinese)吴伟彬, 戴一帆,关朝亮,等. 横向压电效应变形镜优化设计[J]. 红外与激光工程, 2016, 45(8):0818003.
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    [14] Zhou Changrong, Liu Xinyu, Jiang Minhong, et al. Effect of BiCoO3 on piezoelectric properties and depolarization temperature of BNT-BKT piezoelectric ceramics[J]. Journal of Central South University (Science and Technology), 2010, 41(5):1796-1800. (in Chinese)周昌荣, 刘心宇, 江民红, 等. BiCoO3对BNT-BKT陶瓷压电性能与退极化温度的影响[J]. 中南大学学报(自然科学版), 2010, 41(5):1796-1800.
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Hysteresis characteristics and closed loop correction of unimorph deformable mirror

doi: 10.3788/IRLA201847.1020001
  • 1. College of Mechatronics Engineering and Automation,National University of Defense Technology,Changsha 410073,China;
  • 2. Hunan Key Laboratory of Ultra-precision Machining Technology,Changsha 410073,China;
  • 3. College of Photon-electron Science and Engineering,National University of Defense Technology,Changsha 410073,China
  • Received Date: 2018-05-05
  • Rev Recd Date: 2018-06-11
  • Publish Date: 2018-10-25

Abstract: The unimorph deformable mirror (DM) is widely applied in adaptive optics, which utilizes the lateral reverse piezoelectric effect of piezoelectric ceramics to drive the mirror to deform. The hysteresis curve of the deformable mirror is a special butterfly shape in the high electric field strength, which increases the difficulty of control, and the deformable mirror cannot work normally. The theory of piezoelectric ceramic polarization and the hysteresis loop of ferroelectric materials were analyzed so that the cause of the butterfly curve could be confirmed. The experimental results show that the covariate field of the DM is between -500 and -400 V/mm, and the hysteresis curve is normalized willow shape. Then a static PID closed loop correction system was designed for the characteristics of the hysteresis curve, and the correction experiment was carried out. The results show that the linearity is obviously improved, and the hysteresis rate is reduced to 1.8% by the PID closed loop correction.

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