基于几何法求解PI逆模型参数  

Solution of Parameters for PI Inverse Model Based on Geometric Method

作　　者：左守印 王合龙[1] 周德召 高军科 ZUO Shou-yin;WANG He-long;ZHOU De-zhao;GAO Jun-ke(Luoyang Institute of Electro-Optic Equipment,AVIC,Luoyang 471000,China;Science and Technology on Electro-Optic Control Laboratory,Luoyang 471000,China)

机构地区：[1]中国航空工业集团公司洛阳电光设备研究所,河南洛阳471000 [2]光电控制技术重点实验室,河南洛阳471000

出　　处：《电光与控制》2019年第1期47-50,60,共5页Electronics Optics & Control

摘　　要：压电陶瓷驱动的快速反射镜具有优良的动态性能,能够满足高精度定位的任务需求,但其固有的迟滞特性严重影响了其性能的进一步提高。基于PLAY算子的迟滞数学模型具有结构简单、便于数学求解、模型精度较高的优点,但模型参数需要通过系统辨识得到,并且其逆模型参数辨识存在物理量不易获得、误差较大的不利条件。利用几何法,提出了一种求解PI逆模型参数的算法。实验证明该算法动态性能好、模型精度较高,同时基于该算法的PI逆模型前馈控制较好地解决了压电陶瓷驱动的快反镜迟滞效应补偿问题。Fast steering mirror powered by piezoelectric ceramic has fine dynamic performance and can meet the demand for high precision positioning in engineering but its hysteresis effect restricts the further performance development. The mathematical model of hysteresis character based on PLAY operator has the advantages of being simple in structure convenient for calculation and high precision of model. However the realization depends on parameter estimation precision and it’s difficult to obtain the physical quantity with a high precision. An algorithm is proposed to work out the parameters of PI inverse model by using geometric method. Experimental results show that the algorithm has good dynamic performance and high precision of modeling and the algorithm based feed-forward control of PI inverse model can compensate well for the hysteresis effect of the fast steering mirror powered by piezoelectric ceramic.

关 键 词：机载光电系统 快速反射镜 迟滞效应 PI逆模型 参数辨识 前馈控制 

分 类 号：V271.4[航空宇航科学与技术—飞行器设计]