基于P-CS模型与数字孪生的星载天线反射器形面鲁棒性控制方法  

A robust shape control method for space-borne antenna reflectors based on P-cs uncertainty quantification model and digital twin

作　　者：何佳琦 吴伟达 罗阳军 HE Jiaqi;WU Weidal;LUO Yangjun(School of Aeronautics and Astronautics,Dalian University of Technology,Dalian 116024,China;School of Science,Harbin Institute of Technology(Shenzhen),Shenzhen 518055,China)

机构地区：[1]大连理工大学航空航天学院,大连116024 [2]哈尔滨工业大学(深圳)理学院,深圳518055

出　　处：《航空学报》2023年第19期213-236,共24页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(11972104);深圳市高等院校稳定支持计划重点项目(GXWD20220817133329001)。

摘　　要：星载天线反射器形面精度对其电磁性能影响至关重要,基于压电作动器的形面主动控制方法是保障反射器在轨服役期间形面精度的一个有效手段。本文考虑反射器结构在轨期间的材料属性时变不确定性,结合数字孪生技术提出了一种反射器形面鲁棒性主动控制方法。首先,将材料属性在概率-凸集模型(P-CS)下统一量化,并基于贝叶斯理论和位移监测实现数据驱动的模型动态更新;其次,以反射器结构面外位移鲁棒性作为结构形面精度不确定性评价指标,建立作动器电压布局优化模型,并用空间场函数描述电压布局形式,实现大规模离散设计变量的降维映射。该动态更新布局优化模型可分解为一系列序列子优化问题,基于代理模型优化算法进行求解。最后,将本文方法应用于六边形反射器形面主动控制问题中,分别讨论了施加不同种电压约束的情况,数值算例验证了本算法的有效性和适用性。The surface precision of the space-borne antenna reflector is the main influence factor of its electromagnetic performance.The active shape control methodology is an effective way to guarantee the surface precision of space-borne antenna reflectors in orbit.Considering the uncertain material properties of the space-borne antenna reflectors in orbit,a robust shape control method is proposed based on Probability-Convex Set(P-cs)model and digital twin in this paper.The uncertain material properties are quantified in a uniform model(P-CS model).The P-Cs model can be updated based on the Bayesian theory and driven by displacement monitoring data.According to the P-Cs model,a voltage layout optimization model is proposed to achieve the optimal robustness of the surface precision un-der uncertainties.To solve such voltage layout optimization problem with multiple local optimal solutions and large scale of discrete variables,the voltage layout is described by a bounded field with space correlation based on the continuous representation and dimensionality reduction method,and then the design space is discretized and sequential sub-optimization problems are formed.The optimal solution can be achieved by solving sub-optimization problems one by one.The proposed method is used to solve an active shape control problem for a regular hexagon space-borne antenna reflector.Two cases with the constraints of applying one kind of voltage and four kinds of voltage are analyzed to demonstrate the validity and applicability of the proposed method.

关 键 词：星载天线反射器 形面主动控制 鲁棒性 结构布局优化设计 数字孪生 

分 类 号：V214.4[航空宇航科学与技术—航空宇航推进理论与工程] V414.4