2 m望远镜消旋K镜转台的模型辨识  

Model identification for K mirror turntable of 2 m telescope

作　　者：夏培培 邓永停[1] 王志乾[1] 李洪文[1] 王显军[1] Xia Peipei;Deng Yongting;Wang Zhiqian;Li Hongwen;Wang Xianjun(Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院长春光学精密机械与物理研究所,吉林长春130033 [2]中国科学院大学,北京100049

出　　处：《红外与激光工程》2018年第3期142-149,共8页Infrared and Laser Engineering

基　　金：国家自然科学基金(11603024)

摘　　要：针对某2 m望远镜消旋K镜转台,提出了一种基于Hankel矩阵奇异值分解的特征系统实现算法对系统的参数和阶次进行辨识。首先,以正弦扫描信号激励转台并同步采集位置反馈信息,利用谱分析法对测试数据进行分析,得到了系统的频率特性曲线;其次,对系统的Hankel矩阵进行奇异值分解,得到了K镜转台的结构模型;最后,采用特征系统实现算法对Hankel矩阵进行辨识,得到了K镜转台的参数模型。实验结果显示:K镜转台相对均衡的最小阶阶次为6阶,在系统的中低频段获得幅度±0.31 dB和相位±0.87°的辨识精度,相对于参数递阶辨识方法,分别提高了50.7%和23%。结果表明:该方法能够确定一个与系统外特性"等价"的相对均衡的最小阶状态空间模型,在辨识系统阶次和参数估计方面具有较好的可行性和实用性。A model identification method based on the singular value decomposition and eigensystem realization algorithm(ERA)using Hankel matrix,was proposed for K mirror turntable of 2 m telescope to identify the model忆s order and parameters.Firstly,the plant was excited using the sweep signal and the position feedback signal was recorded,the test data were analyzed through the power spectrum density function to get the frequency response function of the system.Secondly,the singular value decomposition(SVD)was adopted to identify the Hankel matrix of the system to acquire the order model of the K mirror turntable.Finally,the ERA was adopted to identify the Hankel matrix to acquire the model parameters of the system.The experiment results show that the minimum order of the K mirror turntable is 6,the magnitude phase measurement accuracies of transfer function are±0.31 dB and±0.87°in middle frequency range respectively,compared with the hierarchical identification method,the identification accuracies are improved 50.7%and 23%separately.Results indicate that the proposed method can determinate a balanced and minimal order state-space representation equal to the system忆s dynamic performance,which is practical and effective in model order determination and parameter estimation

关 键 词：K镜转台 系统辨识 奇异值分解 特征系统实现算法 HANKEL矩阵 

分 类 号：V556[航空宇航科学与技术—人机与环境工程]