卫星导航系统失效性能分析与重构方法研究

摘要： 以建成后的北斗卫星导航系统为对象,研究导航星座中有卫星失效下的星座性能和重构方法.分析不同失效模式下导航星座的服务性能,在此基础上建立导航星座重构构型的优化模型和基于遗传算法的导航星座重构构型优化设计方法;研究星座构型重构过程中卫星的机动策略和机动模型;针对某一具体的失效情况通过仿真计算验证重构模型的有效性和准确性并给出该失效情况下构型重构的机动方案.     

Walker星座摄动分析与保持控制策略

针对运行在中高轨道上的全球Walker星座的构形长期保持控制问题,通过分析星座卫星的轨道摄动及构形相对漂移,研究了星座构形长期保持的控制方法及控制策略.对于星座构形的保持,研究了星座构形摄动补偿法,提出了星座构形数值微分修正法.最后给出了全球星座构形长期保持控制策略并进行了仿真验证,仿真分析表明,星座构形数值微分修正法比构形摄动补偿法具有更高的控制计算精度.     

The influence of orbital maneuver on autonomous orbit determination of an extended satellite navigation constellation

The right ascension of the ascending node is unobservable if only the inter-satellite ranging is used for autonomous orbit determination (AOD) of an Earth navigation constellation. However, if an Earth-Moon libration point satellite is added to the Earth navigation constellation to construct an extended navigation constellation, all the orbital elements can be determined with only the inter-satellite ranging. Furthermore, the extended navigation constellation can provide navigation information for interplanetary probes. For such an extended navigation constellation, orbital control needs to be considered due to the instability of the libration-point satellite orbit. This study concerns the influence of satellite orbital maneuver on the AOD of the extended navigation constellation. An AOD method under orbital maneuver is proposed. A low thrust controller is designed to achieve libration point satellite autonomous orbit maintenance by using AOD results. A navigation constellation consisting of three GPS satellites and one libration point satellite are designed for simulation. The simulation results show that libration point satellites can achieve autonomous navigation and autonomous orbit maintenance by only using inter-satellite ranging information. The rotation drift error of the Earth navigation constellation is also suppressed.     

一种改进的卫星星座服务可用性评价方法

针对存在缺失卫星的轨道面,将星座中的卫星分为两组,从概率角度并采用组合方法提出了星座覆盖可用性和导航精度可用性指标的统计评价模型和仿真流程,进而通过对两项可用性指标进行加权建立了形式统一的服务可用性加权评价模型。利用该模型对单个或多个轨道面有确定数量卫星缺失的状态下,星座构型和轨道参数变化对其服务可用性的影响进行了研究。结果表明,星座轨道平面数和轨道高度均对服务可用性有较大影响。提出的服务可用性评价模型物理意义明确,可有效减少指标评价时间,研究结论有助于在概念设计阶段对星座构型和轨道参数进行优选。     

Formation flying reconfiguration manoeuvres via environmental forces in highly elliptical orbits

A study on reconfiguration manoevres applied to a tetrahedral formation in highly elliptical orbits is proposed, by using a propellantless solution. The manoeuvring strategy consists in exploiting certain environmental forces, specifically those provided by solar radiation pressure and atmospheric drag, by actively controlling the satellites’ attitudes. Through inverse dynamics particle swarm optimization the optimal attitudes required for the manoeuvres are evaluated, whereas the configuration’s evolution is simulated by a high-fidelity orbital simulator. The goal of the reconfiguration problem is to find an optimal control in order for the four spacecraft to reach a desired configuration in a specified portion of orbit, where the desired configuration is evaluated by a shape and size geometric parameter. By increasing the manoeuvring time and the satellites’ area to mass ratio, all the case studies considered are successfully verified.     

中轨道Walker导航星座在轨备份方案优化设计

针对中轨道Walker导航星座在轨备份方案的优化问题,首先提出了在轨备份星轨位优化设计方法,考虑星座运行期间在轨备份星与工作卫星存在共同提供服务的情况,选取PDOP值和可见卫星数作为轨位优化指标,建立了轨位优化模型,并基于NSGA-Ⅱ算法对不同轨位下在轨备份星对导航星座服务性能的提升效果进行仿真分析;然后,基于在轨备份星轨位的优化结果,建立在轨备份星替换的轨道机动模型,并综合考虑速度增量和替换时间,确定了以替换时间最少为优化目标的在轨备份星替换方案。结果表明,提出的在轨备份方案能有效满足备份星的设计需求,增强导航星座的服务性能,实现故障卫星的快速替换,可为导航星座备份星的建设提供借鉴。     

A guidance approach to satellite formation reconfiguration based on convex optimization and genetic algorithms

This paper presents a new approach for autonomous reconfiguration of distributed space systems, which ensures safe guidance of spacecraft formations towards the desired patterns while optimizing the total propellant consumption. The orbital transfer is reduced to the form of a convex optimization problem to guarantee rapid computation of control laws. Hence, tasks are iteratively assigned to the component platforms to detect the best reconfiguration strategy. The path-planning is entrusted to a reference satellite of the cluster, that coordinates the remaining ones by means of a procedure based on genetic algorithms. Two methods are proposed, depending on the organizational architecture of the spacecraft formation. In the first one, the maneuver is completely planned by the reference satellite, that determines final tasks and control actions for the whole cluster. As an alternative to such a fully-centralized approach, a distributed version of the algorithm is proposed: tasks are sorted by the reference satellite and transfer orbits are computed by exploiting the computational resources of the whole cluster. Whatever the considered framework, both the planners ensure a safe transition of the formation towards the target geometry. Simulation results show that, when relative distances are of the order of hundreds of meters, a mean delta-v per satellite of the order of 0.1 m/s is required to reconfigure LEO clusters within one orbital period.     

低轨巨型星座构型设计与控制研究进展与展望

近年来低轨星座计划发展迅速,低轨巨型星座已成为全球争夺空间战略资源的"新战场".首先,概述了Telesat、OneWeb、Starlink等低轨巨型星座计划的发展现状,以及中国互联网星座计划的基本情况.在此基础上,分别从星座的任务需求、覆盖特性、摄动补偿和备份策略4个方面,综述了星座的构型设计方法及其特点.然后,根据卫...     

基于差分进化算法的导航星座在轨重构构型设计

针对有卫星失效下的导航星座,提出了对在轨卫星进行相位机动的方法来对星座的空间构型进行重构,以实现修复和改善星座性能的目的。首先,利用共面高轨和共面低轨变相的方式来对在轨卫星的相位进行调整,建立共面轨道相位机动的数学模型;其次,提出了除重构时间和重构能量外的其他重构指标,包括重构能量均衡度和重构构型恢复性,并建立了各重构指标的数学模型;然后,建立了重构构型的优化模型,并对优化问题中个体的评价手段与编码方式进行设计;最后,以北斗中MEO卫星失效为例,利用差分进化算法对优化模型进行求解,得到以不同重构指标为目标函数下的Pareto前沿。从结果中可以看出该重构方法对星座性能的提升最大可以达到41.2%,同时Pareto前沿中对应的所有重构策略中,重构能量、重构构型的均衡度、重构构型的健壮性的数量级均维持在-1、-3和0的水平。     

Assessment of the close approach frequency and collision probability for satellites in different configurations of large constellations

The Earth orbital environment is drastically changing due to an intensification of the space activities. In particular, several projects of large constellations, proposed for the next years for communications purpose like global internet access, Internet of Things, or for Earth observations, will lead to the deployment of several thousands of new satellites at an unprecedented rate. It is a crucial challenge for space traffic management, which will deal with a great number of satellite conjunctions, potentially causing a collision with damaging consequences for the constellation itself and the space environment sustainability.In this paper, we investigate the close approach frequency and the cumulative collision probability for each referenced constellation. For this purpose, we compute the orbital evolution of satellites in different constellations during the lifecycle, from the deployment to the decommissioning, and we apply the CUBE algorithm and the Foster method to assess the collision probability with the background space debris population assuming a constant uncertainty in position. We show the variation of risk defined by the close approach frequency and the cumulative collision probability as a function of the proposed configuration. In particular, satellites of the Iridium and Kuiper constellation, but also satellite of the Telesat constellation on polar orbits are the most exposed at a collision. Moreover, the decommissioning phase contribute for a major part to the final cumulative collision probability.     

卫星星座的系统仿真研究

研究了对人造卫星星座进行系统仿真的方法.从轨道动力学的观点出发,提出了卫星星座系统仿真的概念和要求;建立了星座系统仿真的数学模型;讨论了星座系统仿真的软件实现方法;最后介绍了开发的一个星座系统仿真软件.      

Nanosatellite constellation deployment using on-board magnetic torquer interaction with space plasma

One of the advantages that drive nanosatellite development is the potential of multi-point observation through constellation operation. However, constellation deployment of nanosatellites has been a challenge, as thruster operations for orbit maneuver were limited due to mass, volume, and power. Recently, a de-orbiting mechanism using magnetic torquer interaction with space plasma has been introduced, so-called plasma drag. As no additional hardware nor propellant is required, plasma drag has the potential in being used as constellation deployment method. In this research, a novel constellation deployment method using plasma drag is proposed. Orbit decay rate of the satellites in a constellation is controlled using plasma drag in order to achieve a desired phase angle and phase angle rate. A simplified 1D problem is formulated for an elementary analysis of the constellation deployment time. Numerical simulations are further performed for analytical analysis assessment and sensitivity analysis. Analytical analysis and numerical simulation results both agree that the constellation deployment time is proportional to the inverse square root of magnetic moment, the square root of desired phase angle and the square root of satellite mass. CubeSats ranging from 1 to 3?U (1–3?kg nanosatellites) are examined in order to investigate the feasibility of plasma drag constellation on nanosatellite systems. The feasibility analysis results show that plasma drag constellation is feasible on CubeSats, which open up the possibility of CubeSat constellation missions.     

太阳帆航天器编队维持和重构的方法研究

针对高面质比航天器可以利用太阳光压进行轨道控制的特点,本文提出一种太阳帆航天器编队构型维持和重构的方法.该方法通过控制主从航天器太阳帆姿态角和反射系数,调整主从航天器之间的光压差,产生抵消编队成员间相对运动受到摄动差或进行轨道机动时所需的连续小推力,从而实现编队构型的维持和重构.仿真结果表明,在主航天器太阳帆的姿态角和反射系数相对固定的条件下,对于太阳同步轨道上的高面质比太阳帆航天器编队,使用滑模控制方法,能够调整编队中从航天器太阳帆的姿态角和反射系数产生推力抵消摄动力影响,达到长期维持太阳帆航天器编队构型的目的;通过开环控制方法,能够调整编队中从航天器太阳帆的姿态角和反射系数产生连续小推力,在较长时间周期内实现编队重构.     

小卫星侦察星座性能评估研究

针对小卫星侦察星座性能评估问题，从覆盖、成本和弹性三方面对小卫星侦察星座的性能指标进行研究，分别构建了考虑存储容量约束的覆盖能力评估模型、成本估计模型以及弹性能力评估模型。在覆盖能力评估模型中，将卫星存储容量作为约束条件，结合卫星覆盖几何模型分析了卫星对地侦察的工作条件，提出考虑存储容量的覆盖指标计算方法；通过小卫星成本模型(small satellite cost model,SSCM)对星座各分系统的成本进行估计；在弹性评估模型中，提出了星座性能损失率指标，并根据星座失效状态概率函数确定了不同失效状态下星座性能损失率的权重。将上述模型应用于SkySat和吉林一号星座的性能评估过程中，结果表明SkySat比吉林一号覆盖能力强、成本低，弹性差。提出的三个模型可用于评价星座优劣，为小卫星侦察星座的建设和性能评估工作提供参考。     

GEO/IGSO混合区域导航星座的设计与优化算法

区域导航星座能够以较低成本和较短时间获得目标区域导航能力，且地球同步轨道是构建非极区区域导航星座的重要轨道类型。提出一种基于GEO（地球静止轨道）和IGSO（倾斜地球同步轨道）的区域导航星座设计方法。基于星下点轨迹特性构造对称星座设计参数和优化参数集，并考虑地球扁率长期摄动影响，计算星座轨道参数。以导航服务区的统计GDOP（几何精度因子）为目标函数，利用差分进化算法构建星座优化模型。以印度IRNSS的7星星座为例，仿真检验了设计和优化算法的正确性，讨论了IRNSS星座优化构型和轨道类型选取。本方法采用的对称星座设计参数少，能够提升GEO/IGSO混合区域导航星座的全局优化效率，为后续非对称星座快速提供最佳星数和构型设计。     

基于覆盖圆的太阳同步回归轨道卫星目标轨迹调整方法

遥感卫星星座在环境监测、地理测绘等领域运用中,需要考虑目标轨迹分布的优化问题.轨迹分布与星座的重访能力和进出站间隔保持等应用需求密切相关.目前对星下点轨迹分布的优化和调整还缺乏准确实用的方法,存在卫星数目增多带来的计算量增加问题和对多种需求综合考虑不够的问题.为了克服现有技术的不足,解决太阳同步回归轨道遥感卫星星座的目...     

基于覆盖性能的Walker-δ星座构型保持

考虑到Walker-δ星座中各星相互协作关系,提出一种基于覆盖性能的星座构型保持策略.作为策略判别指标的覆盖性能由一种改进的网格点仿真法获取.这种改进方法依照卫星星下点与网格点的几何关系,可以快速判断处于覆盖区的网格点,然后统计出星座的全球覆盖信息.卫星的标称位置是考虑J2项摄动长期影响得到的动态位置.星座运行过程中,一旦发现不满足覆盖要求的点,结合各卫星的标称位置,可以找出影响覆盖性能的卫星.最后将该卫星调整到标称位置即可完成构型保持.最后给出构型保持策略的仿真算例,仿真结果表明了策略的有效性.     

多等级区域侦察弹性星座设计方法

针对传统侦察星座目标单一、弹性低的问题，提出了多等级区域侦察弹性星座的设计方法。该方法将星座设计过程按区域等级信息分为多个子星座逐步设计，直到整体星座对所有的区域性能满足设计要求。以区域被划分为3个等级为例，首先对星座设计需求、设计指标及设计步骤进行了分析。其次推导了地面最低分辨率和轨道高度的关系并确定了不同子星座的轨道高度。最后考虑轨道倾角、一箭多星发射、光照和升交点漂移同步约束，构建基础星座、子星座1和子星座2的优化模型。最终设计星座为3层混合星座，共8个轨道面和70颗卫星，星座对各等级区域的最大重访时间分别为10937s，12241s和17437s，弹性指数为2213%，2420%和6361%。结果表明该方法设计的星座可实现对区域覆盖和弹性分级的设计要求，证明了方法的有效性。对比Walker星座设计方法，在同等设计要求下，Walker星座所需卫星数为156颗，多等级区域侦察弹性星座所需卫星数远低于Walker星座，结果进一步证明了该星座设计方法的优越性。     

低轨导航增强卫星星座设计

针对目前全球低轨卫星快速发展的现状,对低轨导航增强卫星星座设计方法进行了详细的研究。首先推导了轨道高度与可视球冠的关系,结合太空垃圾分布,从覆盖范围、经济性及碰撞风险几方面联合确定了轨道高度。然后推导了用户仰角与轨道倾角的关系,分析了实现南北极点覆盖的轨道倾角。接着结合铱星星座,推导出单一星座构型无法实现全球范围内均匀的可见星和精度衰减因子（Dilution of Precision,DOP）值分布。最后提出了一种组合低轨卫星星座设计方法。结果表明,该方法设计的组合星座在实现全球覆盖的同时,能够实现可见星数量与DOP值在全球范围内的均匀分布。     

基于蝙蝠飞行的仿生智能卫星编队管理策略

摘要： 卫星编队构型的保持对编队任务实施至关重要，针对高精度卫星编队控制策略复杂不易于实现的问题，提出了一种基于蝙蝠飞行的仿生智能编队管理策略.首先分析了编队动力学和图论理论，总结自然界中蝙蝠群体的行为规律，给出了蝙蝠飞行数学模型，以此设计了编队虚拟中心用于衡量卫星编队整体效益和局部效益，进而给出了仿生编队管理策略，算法清晰实用.最后，应用卫星编队算法对对卫星编队构型进行控制仿真验证，实现了高精度、低能耗的稳定控制.