基于泽尼克多项式的单压电变形镜PID控制
PDF下载 (353)章家连,李 艳,彭泰然,李文来,马剑强*.基于泽尼克多项式的单压电变形镜PID控制[J].宁波大学学报(理工版),2018,31(6):55-59.DOI:
ZHANG Jia-lian,LI Yan,PENG Tai-ran,LI Wen-lai,MA Jian-qiang*.PID control based on Zernike polynomials for unimorph deformable mirror[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(6):55-59.DOI:
| Title: | PID control based on Zernike polynomials for unimorph deformable mirror |
| 作者: | 章家连, 李 艳, 彭泰然, 李文来, 马剑强* |
| Author(s): | ZHANG Jia-lian, LI Yan, PENG Tai-ran, LI Wen-lai, MA Jian-qiang* |
| 关键词: | 自适应光学; 单压电变形镜; PID控制; Zernike多项式; 波前校正 |
| Keywords: | adaptive optics; unimorph deformable mirror; PID control; Zernike polynomials; wavefront correction |
| 分类号: | TP273 |
| 文献标识码: | A |
| 摘要: | 为了提高变形镜的控制精度及简化控制, 提出采用基于泽尼克(Zernike)多项式的PID控制算法, 实现对单压电变形镜的闭环反馈控制. 首先, 建立基于Zernike多项式的PID闭环控制模型. 其次, 搭建基于哈特曼波前传感器的自适应光学测试平台, 使用62单元单压电变形镜进行闭环控制实验. 最后, 通过相位片模拟扰动像差, 并对扰动像差进行实时PID闭环校正. 实验结果表明: 在相位片旋转速度和外界扰动像差相同的条件下, 采用基于Zernike多项式的PID控制算法对波前像差进行校正, 比采用直接反馈方法校正精度提高了50%左右. 证明采用基于Zernike多项式的PID控制算法能提高单压电变形镜动态像差的校正精度以及简化控制系统. |
| Abstract: | In order to improve the control accuracy of deformable mirror and simplify the control, a PID control algorithm based on Zernike polynomials is presented and then the closed-loop feedback control of unimorph deformable mirror is realized. Firstly, a PID closed-loop control model based on Zernike polynomials was established. Secondly, an adaptive optical test platform based on Hartmann wavefront sensor was built. Closed-loop control experiment was performed using 62 elements unimorph deformable mirror. Finally, the disturbance of aberrations was simulated by the rotated phase plate. The disturbance of aberrations was corrected in real-time by the deformable mirror with PID closed-loop algorithm. The experimental results show that the correction accuracy of PID control algorithm based on Zernike polynomials is improved by about 50% compared with the direct feedback control method, under the conditions of the same phase plate rotating speed and the same external aberrations. It is proved that PID control algorithm based on Zernike polynomials can improve the correction accuracy of dynamic aberrations for unimorph deformable mirror and simplify the control system. |
| 参考文献 /References: | [1].Love G D, Tyson R K. Principles of adaptive optics[J]. Optics & Lasers in Engineering, 1998, 50(2):104. [2].姜文汉. 自适应光学技术[J]. 自然杂志, 2006, 28(1):7-13. [3].颜召军, 李新阳, 饶长辉. 自适应光学闭环系统实时多路自适应控制算法[EB/OL]. [2016-12-15]. http://www. opticsjournal.net/Articles/abstract?aid=OJ1301160001666B9EaH. [4].Sivo G, Kulcsár C, Conan J M, et al. First on-sky SCAO validation of full LQG control with vibration mitigation on the CANARY pathfinder[J]. Optics Express, 2014, 22(19):23565-23591. [5].Devaney N, Dalimier E, Farrell T, et al. Correction of ocular and atmospheric wavefronts: A comparison of the performance of various deformable mirrors[J]. Applied Optics, 2008, 47(35):50-65. [6].李新阳, 姜文汉, 王春红, 等. 自适应光学系统中的自适应控制算法研究[J]. 光学学报, 2001, 21(3):283-291. [7].Boyer C, Gilles L, Ellerbroek B, et al. Update on the TMT adaptive optics real time controller[EB/OL]. [2016- 09-05]. https://www.researchgate.net/publication/2286571 21_Update_on_the_TMT_Adaptive_Optics_Real_Time_Controller. [8].田雷, 陈俊杰, 崔玉国, 等. 基于PI迟滞模型的单压电变形镜开环控制[J]. 仪器仪表学报, 2017, 38(1):136- 142. [9].Zheng Z, Li C, Li B, et al. Analysis and demonstration of PID algorithm based on arranging the transient process for adaptive optics[J]. Chinese Optics Letters, 2013, 11(11):1-4. [10].Wu Z, Iqbal A, Ben Amara F. LMI-based multivariable PID controller design and its application to the control of the surface shape of magnetic fluid deformable mirrors[J]. IEEE Transactions on Control Systems Technology, 2011, 19(4):717-729. [11].颜召军, 李新阳, 饶长辉. 一种自适应光学闭环系统预测控制算法的仿真研究[EB/OL]. [2016-10-21]. http:// www.opticsjournal.net/Articles/abstract?aid=OJ101224000038bIeKhN. [12].刘章文, 周志强, 李正东. 基于模糊控制的波前校正技术[J]. 激光与光电子学进展, 2017(3):62-69. [13].Feng G S, Wu J Z. Arbitrary frequency stabilization of a diode laser based on visual Labview PID VI and sound card output[J]. Chinese Physics B, 2015, 24(10):248-251. [14].Iqbal A, Wu Z, Ben Amara F. A decentralized robust PID controller design for the shape control of a magnetic fluid deformable mirror[J]. International Journal of Opto- mechatronics, 2010, 4(3):246-268. [15].Escárate P, Agüero J C, Zú?iga S, et al. Linear quadratic regulator for laser beam shaping[J]. Optics & Lasers in Engineering, 2017, 94:90-96. |
| 备注/Memo: | 收稿日期: 2017?12?06. 宁波大学学报(理工版)网址: http://journallg.nbu.edu.cn/ 基金项目: 浙江省公益技术研究(LGF18E050001); 宁波市自然科学基金(2017A610078). 第一作者: 章家连(1992-), 男, 浙江平湖人, 在读硕士研究生, 主要研究方向: 压电变形镜控制. E-mail: 18018039192@163.com *通信作者: 马剑强(1983-), 男, 浙江台州人, 副教授, 主要研究方向: 压电变形镜和自适应光学技术. E-mail: majianqiang@nbu..edu.cn 宁波大学学报(理工版)网址:http://journallg.nbu.edu.cn/ |