空间引力波探测无拖曳卫星有限频域抗扰控制器设计  

Design of Finite Frequency Domain Disturbance Rejection Controller for the Drag-free Spacecraft in Space-borne Gravitational Wave Detection

作　　者：徐乾蛟 崔冰 王鹏程 夏元清[1] 张永合 XU Qianjiao;CUI Bing;WANG Pengcheng;XIA Yuanqing;ZHANG Yonghe(School of Automation,Beijing Institute of Technology,Beijing 100081;Innovation Academy for Microsatellites of Chinese Academy of Sciences,Shanghai 201304)

机构地区：[1]北京理工大学自动化学院,北京100081 [2]中国科学院微小卫星创新研究院,上海201304

出　　处：《空间科学学报》2024年第5期903-916,共14页Chinese Journal of Space Science

基　　金：国家重点研发计划项目资助(2021YFC2202600,2021YFC2202601)。

摘　　要：在空间引力波探测任务中,有限测量频域约束以及高精度控制指标使双参考质量无拖曳卫星控制器设计面临诸多技术难题.基于此,本文提出了一种基于广义Kalman-Yakubovich-Popov(GKYP)引理的有限频域抗扰控制器设计方法.针对探测任务中指定频段内的性能约束,结合灵敏度和补灵敏度控制指标,在指定频段下构建了具有频率响应函数形式的有限频域控制性能指标.提出了具有固定阶数特性的输出反馈控制结构,并基于GKYP引理建立了控制器参数选取方法,构建了有限频域抗扰控制器设计方法.不同于现有的无拖曳控制器设计方法,该设计方法可以有效降低控制指标的保守性,同时在指定频段下实现了控制器的精确设计,从而降低控制器阶数.数值仿真表明,本文所提方法在复杂扰动和噪声影响下可以满足无拖曳系统各回路控制性能指标.In space-borne gravitational wave detection,there are technical challenges in designing the controller for the drag-free spacecraft with dual test masses.These difficulties arise from constraints within the limited measurement frequency domain and the necessity for a high-precision control index.In this paper,a design method of disturbance rejection controller in the finite frequency domain based on the generalized Kalman-Yakubovich-Popov(GKYP)lemma is proposed.Firstly,to address the performance constraints within the designated frequency band of the detection mission,a finite frequency domain control performance index in the form of a frequency response function is constructed.This index is meticulously developed by amalgamating the sensitivity and complementary sensitivity control indexes.Then,a control structure with fixed-order characteristics for output feedback is proposed,and a method for selecting controller parameters based on the GKYP lemma is established.By this,a finite frequency domain disturbance-resistant controller design method is constructed.In contrast to current drag-free controller design methods,the proposed approach significantly diminishes the conservatism in the control index.This realizes the precise design of the controller in the specified frequency band,ultimately resulting in a reduction in the order of the controller.Finally,numerical simulations demonstrate that the proposed method successfully meets the control performance index for each loop of the drag-free system even in the presence of complex disturbances and noises.

关 键 词：无拖曳系统 抗扰控制 有限频域 广义 KYP 引理 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]