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Shape Control of a Reflector Based on Generalized Zernike Functions

机译:基于广义Zernike函数的反射镜形状控制

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摘要

Lightweight, high precision reflectors will enable future earth science, space science, and reconnaissance missions. The geometry precision of the reflector onboard a spacecraft needs to be increased accordingly. Although many efforts have been made to reduce the surface error, active shape control is becoming more and more necessary for future high precision reflectors. This paper discusses an adaptive shape control system for a Carbon Fiber Reinforced Composite (CFRC) reflector, and adaptive control is conducted by Piezoelectric Ceramic Transducer (PZT) actuators assembled on the reflector. When the PZT actuators expand or contract, they deform the reflective surface and can thus be used to correct the geometry error of the reflector. Compare to other electro-active materials, PZT actuator has much higher elastic modulus, quick response characteristic, good linear behavior, fine resolution, and large actuation force. The independence of each actuator in the reflector control system is verified by an experiment. Based on the independence assumption, a shape control algorithm is developed using influence functions. The controllability of this adaptive reflector is investigated by Modal Decomposition Approach (MDA). A set of orthogonal bases is used as basic error modes, which is the generalized Zernike functions developed by Gram-Schmidt. The shape control of an adaptive hexagonal reflector, which is deformed due to gravity, is analyzed.
机译:轻巧,高精度的反射器将使未来的地球科学,太空科学和侦察任务成为可能。航天器上反射镜的几何精度需要相应提高。尽管已经进行了许多努力来减小表面误差,但是对于将来的高精度反射器来说,主动形状控制变得越来越必要。本文讨论了一种碳纤维增强复合材料(CFRC)反射镜的自适应形状控制系统,该自适应控制由组装在该反射镜上的压电陶瓷换能器(PZT)致动器进行。当PZT执行器膨胀或收缩时,它们会使反射表面变形,因此可用于校正反射器的几何误差。与其他电活性材料相比,PZT执行器具有更高的弹性模量,快速响应特性,良好的线性性能,良好的分辨率和较大的执行力。通过实验验证了反射器控制系统中每个执行器的独立性。基于独立性假设,使用影响函数开发形状控制算法。通过模态分解方法(MDA)研究了这种自适应反射器的可控性。一组正交基用作基本误差模式,这是Gram-Schmidt开发的广义Zernike函数。分析了由于重力而变形的自适应六角形反射镜的形状控制。

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  • 会议地点 San Diego CA(US)
  • 作者单位

    Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;

    Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;

    Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;

    Shanghai YS Information Technology Co., Ltd., Shanghai 200240, China;

    State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;

    State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;

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  • 正文语种 eng
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