基于模糊控制的波前校正技术
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摘要
模糊控制由于不依赖变形镜的响应模型,用于波前校正时具有实用性,其可行性已被证实。对自适应光学系统中模糊比例积分微分(PID)控制的波前校正效果进行了评估,包括对模糊校正带宽的测试、对模糊输入和输出论域的选取以及对模糊规则库以及波面加权模板的优化。实验结果表明,论域的选取合理,采用3×3的波前加权模板效果更好。当PID控制器3个参数矢量K_P、K_I和K_D的初始值都为0时,模糊输出论域采用隶属度正分布的规则库实用性更强。当哈特曼-夏克传感器刷新频率为120Hz时,系统校正带宽为5~6Hz,与常规PID一致。
Fuzzy control is used in wavefront correction and its feasibility has been confirmed because it does not depend on the response model of deformable mirror.The wavefront correction effect of fuzzy proportion integration differentiation(PID)control in adaptive optical system is assessed,including testing fuzzy correction bandwidth,selecting fuzzy input and output domains,and optimizing fuzzy rule base and wavefront weighted template.Experimental results show that the selection of fuzzy domain is reasonable,and the better results are obtained with a3×3wavefront weighted template.When the initial values of K_P,K_I and K_D of PID controller are 0,the rule base with membership degree positive distribution is more suitable for the fuzzy output domain.When the refresh rate of the Hartmann-Shack sensor is 120 Hz,the system correction bandwidth is 5-6 Hz,which is consistent with the conventional PID.
Fuzzy control is used in wavefront correction and its feasibility has been confirmed because it does not depend on the response model of deformable mirror.The wavefront correction effect of fuzzy proportion integration differentiation(PID)control in adaptive optical system is assessed,including testing fuzzy correction bandwidth,selecting fuzzy input and output domains,and optimizing fuzzy rule base and wavefront weighted template.Experimental results show that the selection of fuzzy domain is reasonable,and the better results are obtained with a3×3wavefront weighted template.When the initial values of K_P,K_I and K_D of PID controller are 0,the rule base with membership degree positive distribution is more suitable for the fuzzy output domain.When the refresh rate of the Hartmann-Shack sensor is 120 Hz,the system correction bandwidth is 5-6 Hz,which is consistent with the conventional PID.
引文
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[3]Tesch J,Truong T,Burruss R,et al.On-sky demonstration of optimal control for adaptive optics at Palomar observatory[J].Optics Letters,2015,40(7):1575-1578.
[4]Kudryashov A,Alexandrov A,Rukosuev A,et al.Extremely high-power CO2laser beam correction[J].Applied Optics,2015,54(14):4352-4358.
[5]Guo Youming,Ma Xiaoyu,Rao Changhui.Optimal closed-loop bandwidth tip-tilt correction loop in adaptive optics system[J].Acta Physica Sinica,2014,63(6):069502.郭友明,马晓燠,饶长辉.自适应光学系统倾斜校正回路的最优闭环带宽[J].物理学报,2014,63(6):069502.
[6]Liu Zhangwen,Li Zhengdong,Zhou Zhiqiang,et al.Adaptive optics correction technique based on fuzzy control[J].Acta Physica Sinica,2016,65(1):014206.刘章文,李正东,周志强,等.基于模糊控制的自适应光学校正技术[J].物理学报,2016,65(1):014206.
[7]Klug M,Castelan E B,Leite V J S,et al.Fuzzy dynamic output feedback control through nonlinear Takagi-Sugeno models[J].Fuzzy Sets and Systems,2015,263:92-111.
[8]Liu Y J,Tong S C.Adaptive fuzzy control for a class of unknown nonlinear dynamical system[J].Fuzzy Sets and Systems,2015,263:49-70.
[9]Guo Youming,Rao Changhui,Bao Hua,et al.Direct computation of the interaction matrix of adaptive optics system[J].Acta Physica Sinica,2014,63(14):149501.郭友明,饶长辉,鲍华,等.一种自适应光学系统响应矩阵的直接计算方法[J].物理学报,2014,63(14):149501.
[10]Liu Zhangwen,Xie Chuanlin,Liu Qihua,et al.Wave-front reconstruction based on point-by-point scanning[J].Chinese J Lasers,2014,41(11):1102007.刘章文,谢川林,刘七华,等.基于逐点扫描的波前数据重构[J].中国激光,2014,41(11):1102007.