格栅反射器型面的主动控制

doi:10.7527/S1000-6893.2018.21541

固体力学与飞行器总体设计

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格栅反射器型面的主动控制

宋祥帅¹, 王恩美¹, 穆瑞楠¹, 谭述君², 兰澜³

1. 大连理工大学工业装备结构分析国家重点实验室, 大连 116024;
2. 大连理工大学航空航天学院, 大连 116024;
3. 上海跃盛信息技术有限公司, 上海 200240

收稿日期:2017-06-21 修回日期:2018-02-09 出版日期:2018-06-15 发布日期:2018-02-09
通讯作者: 谭述君,E-mail:tansj@dlut.edu.cn E-mail:tansj@dlut.edu.cn
基金资助:
国家自然科学基金（11572069，11432010）；中央高校基本科研业务费专项资金（DUT16ZD225）

Active shape control of a reflector with PZT actuators assembled on ribs

SONG Xiangshuai¹, WANG Enmei¹, MU Ruinan¹, TAN Shujun², LAN Lan³

1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China;
3. Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China

Received:2017-06-21 Revised:2018-02-09 Online:2018-06-15 Published:2018-02-09
Supported by:
National Natural Science Foundation of China (11572069, 11432010); the Fundamental Research Funds for the Central Universities (DUT16ZD225)

摘要/Abstract

摘要： 为了提高天线反射器的型面精度，以锆钛酸铅压电陶瓷（PZT）驱动的主控格栅反射器为研究对象，对该结构的力学建模方法和形状控制方法进行了研究。首先，建立了格栅反射器、PZT压电作动器一体化有限元模型。然后，采用影响系数矩阵法，以均方根误差最小为目标建立反射器型面主动控制优化模型，并通过最小二乘法求解作动器的最优控制律。最后，搭建了格栅反射器主动控制实验系统，以旋转抛物面为目标型面进行实验研究。实验结果表明，经主动控制后反射器型面精度提高了将近50%，且与仿真结果吻合较好，验证了一体化有限元建模方法的准确性和控制方法的有效性。

关键词: 天线反射器, PZT作动器, 形状控制, 影响系数矩阵, 最小二乘法

Abstract: To improve the shape accuracy of the antenna reflector, the mechanical modeling method and the shape control method for a reflector driven by the piezoelectric ceramic transducer (PZT) are studied. An integrated finite element model for the reflector structure and the PZT actuator is established. The influence coefficient matrix method is used to develop an optimization model for active shape control of the reflector with the objective of minimizing the mean square root error of the shape, and the optimal control laws of the actuator are solved by the least square method. An active shape control experimental system of the reflector is built, and the rotating paraboloid is taken as the target shape. Experimental results demonstrate that the shape accuracy of the reflector after active control is improved by nearly 50%, which are in good agreement with simulation results, and verifies the validity of the modeling method and feasibility of the control method.

Key words: antenna reflector, PZT actuator, shape control, influence coefficient matrix, least square method

中图分类号:

V414.3⁺2

宋祥帅, 王恩美, 穆瑞楠, 谭述君, 兰澜. 格栅反射器型面的主动控制[J]. 航空学报, 2018, 39(6): 221541-221541.

SONG Xiangshuai, WANG Enmei, MU Ruinan, TAN Shujun, LAN Lan. Active shape control of a reflector with PZT actuators assembled on ribs[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(6): 221541-221541.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

格栅反射器型面的主动控制

Active shape control of a reflector with PZT actuators assembled on ribs

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