用于稀疏孔径成像系统光程控制的自适应控制算法研究  

Adaptive control algorithm for optical path control of sparse aperture imaging system

作　　者：钱俊宏 陶冶 张蓉竹[3] QIAN Junhong;TAO Ye;ZHANG Rongzhu(School of Unmanned Aerial Vehicles Industry,Chengdu Aeronautic Polytechnic,Chengdu 610065,China;School of Mechanical Engineering,Sichuan University,Chengdu 610065,China;College of Electronics and Information Engineering,Sichuan University,Chengdu 610065,China;Chengdu Kaidi Seiko Technology Co.,Ltd.,Chengdu 610041,China)

机构地区：[1]成都航空职业技术学院无人机产业学院,四川成都610065 [2]四川大学机械工程学院,四川成都610065 [3]四川大学电子信息学院,四川成都610065 [4]成都凯迪精工科技有限责任公司,四川成都610041

出　　处：《机电工程》2023年第10期1624-1632,1640,共10页Journal of Mechanical & Electrical Engineering

基　　金：四川省重大科学仪器设备专项(2019ZDZX0038)。

摘　　要：目前,稀疏孔径成像系统共相误差校正效果不佳,为此,提出了一种用于稀疏孔径成像系统光程控制的自适应控制算法。首先,分析了仅有前馈控制存在的累积误差问题,并由此引出了改进的比例-微分-积分(PID)反馈控制结构和表达式;然后,将两者结合,形成了前馈-改进PID反馈的复合控制系统,并用该系统对单个压电陶瓷进行了控制仿真;最后,采用一种随机并行梯度下降(SPGD)算法,以成像清晰度为优化目标,将稀疏孔径成像系统中的多个压电陶瓷组成了联合控制系统;通过搭建精密光程调控系统实验平台,对单个压电陶瓷采用前馈-PID反馈复合控制系统进行了1μm、5μm、8μm和10μm位移跟踪实验。实验结果表明:不同位移的响应曲线基本与期望位移曲线重合,不同位移的响应时间能有效控制在0.08 s以内,位置误差能有效控制在±3 nm以内;将SPGD联合控制系统用于1个三孔径稀疏孔径成像系统中,进行了分辨率板成像对比实验,对共相误差校正前后图像进行了定量评价(校正前,评价值J 1=0.54;校正后,评价值J 2=0.78)。研究结果表明:该联合控制系统能有效控制光程精度,校正共相误差,实现子光束干涉成像的目标。At present,the common phase error correction effect of sparse aperture imaging system is poor.Therefore,an adaptive control algorithm for optical path control of sparse aperture imaging system was proposed.Firstly,the proportional integral-derivative(PID)feedback control structure and expressions were derived after analyzing the accumulative error problems existing in the system with only feedforward control.Then,the two were combined to form a feedforward-improved PID feedback compound control system,and the control simulation of a single piezoelectric ceramic was carried out by the system.Finally,with the stochastic articulation as the optimal objective,a stochastic parallel gradient descent(SPGD)algorithm was used to form a joint control system for multiple piezoelectric ceramics in a sparse aperture imaging system.By building an experimental platform for a precision optical path control system,1μm,5μm,8μm and 10μm displacement tracking experiments were conducted on a single piezoelectric ceramic using feedforward PID feedback compound control system.The experimental results show that the response curves of different displacements basically coincide with the expected displacement curves.The response time of different displacements can be effectively controlled within 0.08 s,and the position error can be effectively controlled within±3 nm.The SPGD joint control system is used in a three-aperture sparse aperture imaging system for imaging comparison experiments of resolution plates.The quantitative evaluation of images before and after co-phasing error correction is obtained:evaluation value J 1=0.54 before correction and J 2=0.78 after correction.The results show that the joint control system can effectively control the optical path precision,correct the co-phasing error,and realize the sub-beam interference imaging.

关 键 词：共相误差校正 压电陶瓷 随机并行梯度下降算法 复合控制技术 精密光程调控系统 子光束干涉成像 

分 类 号：TH744[机械工程—光学工程] TP391.4[机械工程—仪器科学与技术]