摘要
随着航天技术的大力发展,空间安全日益成为航天领域的焦点问题。空间围捕在轨目标也将由单航天器的追捕向集群航天器协同围捕的趋势发展。本文针对多个航天器协同围捕空间非合作目标的典型场景,提出一种基于状态相关黎卡提方程的集群航天器协同围捕非合作目标的策略与方法。首先,基于航天器非线性相对运动模型,建立空间集群航天器协同围捕非合作目标运动学模型,并据此设计双方的二次型目标函数(相对距离与燃料消耗),将围捕问题转化成微分对策的纳什均衡问题。其次,通过求解状态黎卡提方程,获取集群航天器对单一非合作目标航天器的最优策略。在此基础上利用零空间投影方法,设计一种与距离相关的基于优先级的任务规划方案,以获得非合作目标航天器面对集群航天器时的逃逸策略,避免其对于集群多个航天器的逃逸策略冲突。最终通过数值仿真结果验证了所提协同围捕策略与方法的有效性。
With the vigorous development of space technology,space security has increasingly become a focal point in the field of spaceflight.The pursuit of on-orbit targets in space will also develop from the pursuit of single spacecraft to the trend of cooperative fencing by cluster spacecraft.This paper presents a strategy and method based on the state-dependent Riccati equation for the typical scenario of cluster spacecraft cooperative trapping of noncooperative targets in space.First,based on the nonlinear relative motion model of spacecraft,a kinematic model of space cluster spacecraft cooperative trapping of noncooperative targets is established,and the quadratic objective functions(relative distance and fuel consumption)of both parties are designed accordingly,so that the trapping problem is transformed into a Nash equilibrium problem with differential countermeasures.Second,the state Riccati equation is solved,and thus the optimal strategy of cluster spacecraft against single non-cooperative target spacecraft is obtained.Third,with the null-space projection method,a distance-dependent priority-based mission planning scheme is designed to obtain the escape strategy of non-cooperative target spacecraft facing cluster spacecraft and to avoid the escape strategy conflict for the cluster spacecraft.Finally,numerical simulations are carried out,and the obtained results verify the effectiveness of the proposed cooperative fencing strategy and method.
作者
程毅
赵坤
吴明帅
尹卓
刘源
CHENG Yi;ZHAO Kun;WU Mingshuai;YIN Zhuo;LIU Yuan(Shanghai Institute of Satellite Engineering,Shanghai 200240,China;School of Aeronautics and Astronautics,Sun Yat-sen University,Shenzhen 518000,Guangdong,China)
出处
《上海航天(中英文)》
CSCD
2024年第5期121-129,共9页
Aerospace Shanghai(Chinese&English)
基金
国家重点研发计划(2022YFB390280X)。
关键词
集群航天器
协同围捕
状态相关黎卡提方程
零空间投影
cluster spacecraft
coordinated rounding up
state dependent Riccati equation
null space projection
作者简介
程毅(1988-),男,工程师,硕士,主要研究方向为系统仿真;通信作者:刘源(1984-),男,副教授,博士,主要研究方向为卫星最优控制、任务规划系统。