Active collision avoidance maneuver under constant thrust

In this paper, the relative position parameters of the target spacecraft are obtained by using the vision measurement and the target maneuver positions are calculated through the isochronous interpolation method. Furthermore, new switch control laws under constant thrust are designed for active collision avoidance maneuver of the chaser along a specified trajectory. The switch control laws are obtained based on the acceleration sequences and the working times of thrusters in three axes which can be respectively computed by the time series analysis method. The perturbations and fuel consumptions are addressed during the computation of the working times.     

Optimal guidance and collision avoidance for docking with the rotating target spacecraft

The guidance and control strategy for spacecraft rendezvous and docking are of vital importance, especially for a chaser spacecraft docking with a rotating target spacecraft. Approach guidance for docking maneuver in planar is studied in this paper. Approach maneuver includes two processes: optimal energy approach and the following flying-around approach. Flying-around approach method is presented to maintain a fixed relative distance and attitude for chaser spacecraft docking with target spacecraft. Due to the disadvantage of energy consumption and initial velocity condition, optimal energy guidance is presented and can be used for providing an initial state of flying-around approach process. The analytical expression of optimal energy guidance is obtained based on the Pontryagin minimum principle which can be used in real time. A couple of solar panels on the target spacecraft are considered as obstacles during proximity maneuvers, so secure docking region is discussed. A two-phase optimal guidance method is adopted for collision avoidance with solar panels. Simulation demonstrates that the closed-loop optimal energy guidance satisfies the ending docking constraints, avoids collision with time-varying rotating target, and provides the initial velocity conditions of flying-around approach maneuver. Flying-around approach maneuver can maintain fixed relative position and attitude for docking.     

编队卫星防碰撞规避路径规划方法与控制研究

针对编队卫星在构型重构和构型失效重组时发生碰撞可能性最大的两种机动工况,采用数学规划的方法对其进行防碰撞规避准则、规避策略和控制方面的研究;并通过系统可控性证明出无径向推力相对于全向推力,也可以达到目标相位点只是燃料消耗得多。对编队构型失效重组工况中备份星机动前停泊位置,进入编队位置选择和启动时刻选择以及故障星离开编队后,目标轨道确定等问题通过数学仿真的形式予以解答。仿真结果表明,该研究方法真实可信、简便有效。     

空间碎片碰撞预警研究

介绍了空间碎片的分布和危害，阐明了航天器进行碎片预警规避的必要性，讨论了碎片碰撞预警技术中的关键问题，用已有的碰撞和规避实例对自行研制的软件进行了计算检验，结果证明了软件的正确性，也说明了国内进行碎片预警工作的可行性．     

二阶多智能体系统自抗扰编队跟踪与避撞控制

在多智能体编队的目标跟踪任务中，智能体受环境中的障碍物的遮挡作用会丢失目标，而外部扰动会影响系统的时变编队跟踪的控制效果。为此，研究了这两种因素同时存在情况下的二阶多智能体系统时变编队跟踪和避撞控制。采用基于目标跟踪优先级的切换拓扑控制策略以实现在障碍物遮挡环境中对目标的持续跟踪，根据自抗扰理论设计包含扰动补偿项的编队跟踪控制器。首先，基于一致性方法提出切换拓扑下自抗扰时变编队跟踪控制协议，并给出一种基于跟踪微分器的编队指令生成方法；其次，设计了求解控制参数的算法并给出协议作用下系统的稳定性分析和证明；然后，基于人工势场法设计避撞控制协议；最后，提出障碍物遮挡环境下自抗扰时变编队跟踪控制协议。仿真实验结果表明:所设计的控制协议在上述两种因素存在时仍具有良好的控制效果。      

Forming and keeping fast fly-around under constant thrust

A new switching control algorithm under constant thrust is designed for the chaser fast flying around the target spacecraft along a specified fly-around trajectory. The switching control laws are obtained based on the acceleration sequences and the on time of thrusters which can be computed by the time series analysis method. The perturbations and fuel consumptions are addressed during the computation of the on time of thrusters. Furthermore, the relative position parameters of the target spacecraft are obtained by using the vision measurement and the target fly-around positions are calculated through the isochronous interpolation method. The change of the relative position and the relative velocity of the chaser during the constant thrust fast fly-around are presented through simulation example. It is proved that, with the switching control laws, the chaser will fast fly around the target spacecraft along the specified fly-around trajectory.     

Constant thrust-V-bar departure under the thruster failure

In this paper, a field-of-view constrained guidance algorithm for -V-bar constant thrust departure under thruster failure is investigated. First of all, the relative position parameters of the chaser are obtained by using the vision measurement and the target departure manoeuvres positions are calculated through the isochronous interpolation method. Then, a new switching control law under constant thrust is designed for the departure manoeuvres. The switching control law is obtained based on the acceleration sequences and the on time of thrusters which can be computed by the time series analysis method. The perturbations and fuel consumptions are addressed during the computation of the on time of thrusters. With the switching control law, the constant thrust-V-bar departure under the thruster failure in the x-axis is carried out by using coupling effects.On the basis of the toolbox of matlab, practical examples for simulation and application are given. The half cone angle of the cone-shaped field-of-view of the target spacecraft is α = 30°, the simulation results show that the proposed guidance algorithm can well satisfy the conditions for the constraints and can make sure the chaser departures from the target spacecraft safely.     

Model predictive control for close-proximity maneuvering of spacecraft with adaptive convexification of collision avoidance constraints

This study investigated model predictive control (MPC) for close-proximity maneuvering of spacecraft. It is essential for a designed MPC to effectively handle collision avoidance between the servicer spacecraft and the client spacecraft, especially while the client is rotating. The rotating motion of the client leads to dynamic changes in the collision avoidance constraints, which increases the difficulty of optimizing the control input in the MPC framework. Therefore, this study presents a method to improve the performance and computational efficiency of MPC for rendezvous and docking with a nonrotating or rotating client. An ellipsoid is adopted to model the client’s keep-out zone (KOZ). Given the spherical KOZ of the servicer, an expanded ellipsoid is introduced to describe the KOZ for the center of mass of the servicer and modeled as a nonlinear constraint. The linearization method for reference points located at the expanded ellipsoid is adopted to convexify the nonlinear constraints. The reference points are adaptively determined according to the positions of the servicer, client, and expanded ellipsoidal KOZ. The resulting hyperplanes are then used to describe the collision avoidance constraints. By utilizing the aforementioned strategies, combined with the calculated reference points, an adaptive convex programming algorithm suitable for real-time implementation of MPC is derived. The performance of the proposed method is demonstrated through numerical simulations.     

Field-of-view constrained guidance algorithm for -V-bar constant thrust departure

In this paper, the relative position parameters of the chaser are obtained by using the vision measurement and the target departure manoeuvre positions are calculated through the isochronous interpolation method. A guidance algorithm for -V-bar constant thrust departure with consideration of the constraints of field of view and safety distance is investigated. New switching control laws under constant thrust are designed for departure manoeuvres of the chaser. The switching control laws are obtained based on the acceleration sequences and the on time of thrusters in three axes which can be respectively computed by the time series analysis method. The perturbations and fuel consumptions are addressed during the computation of the on time of thrusters.     

Constant thrust fuel-optimal control for spacecraft rendezvous

In this paper, constant thrust rendezvous is studied and the optimal rendezvous time is calculated by using continuous genetic algorithm. Firstly, the relative position parameters of the target spacecraft are obtained by using the vision measurement and the target maneuver positions are calculated through the isochronous interpolation method. Then, the results of the calculation of constant thrust rendezvous is founded by processing with multivariate linear regression method. Next, a new switching control law is designed based on the thrust acceleration sequence and the on time of thrusters which can be computed by the time series analysis method. The perturbations and fuel consumptions are addressed during the computation of the on time of thrusters.     

空间碎片预警中的碰撞概率方法研究

由于空间碎片对飞行在地球轨道上的航天器危害日益严重,所以必须采取一些有效的防护措施,对于那些直径大于10 cm的碎片,通常是采用主动规避的方法来进行防护.为了避免传统的Box判据造成的过多错误预警,碰撞概率模型开始被应用于空间碎片预警,本文以空间站为例,将碰撞概率方法与传统Box区域判定法进行比较,介绍碰撞概率计算模型的建立方法,基于位置误差矩阵的碰撞概率Pc的算法,并针对实际交会事例进行了计算和分析.      

Finite-time relative orbit-attitude tracking control for multi-spacecraft with collision avoidance and changing network topologies

This paper addresses the relative position tracking and attitude synchronization control problem for spacecraft formation flying (SFF). Based on the derived relative coupled six-degree-of-freedom dynamics, a robust adaptive finite-time fast terminal sliding mode controller is proposed to achieve the desired formation in the presence of model uncertainties and external disturbances. It is shown that the designed controller is effective for changing information exchange topology making it robust to node failure. Then, the artificial potential function method is employed to generate collision avoidance schemes to modify the controller such that inter-agent collision avoidance can be ensured during the formation maneuver, which is critical for practical missions. The stability of the overall closed-loop system is proved by using Lyapunov theory. Finally, numerical examples for a given SFF scenario are presented to illustrate the performance of the controller.     

利用精化误差进行危险交会分析

空间碎片碰撞预警工作主要针对的是可监测的较大空间碎片, 预测航天器与碎片之间的碰撞风险, 并根据一定的预警判据来评估风险的大小, 进而做出合理的轨道规避决策. 碰撞概率是碰撞风险评估的重要依据. 复合体尺寸、交会距离和误差是影响碰撞概率的三个决定性因素. 当复合体尺寸与交会距离差别不大时, 误差因素对碰撞概率结果起着决定性的作用. 在利用整天误差计算碰撞概率的基础上, 提出了利用精化误差计算碰撞概率的方法, 在危险交会分析中取得了良好的效果.      

考虑能量最优的集群航天器避碰规划

针对传统集群聚集算法在航天器集群规划应用中存在燃料消耗大、不均衡以及耗时过长等问题,提出了向心聚集的能量最优聚类避碰算法。该算法首先基于集群相对运动方程与有限时间的能量最优模型,建立了自适应的向心聚集的能量最优模型;在此基础上,对于耗时较长且碰撞的问题,提出一种基于能量最优的聚类避碰算法,以模块间安全距离矢量作为避碰约束,将能量消耗作为聚类算法指标进行改进。仿真验证表明,该算法可以自适应选取集群聚类的中心,有效避免碰撞,减少集群聚集总能量的消耗以及模块间能量消耗的不均衡性,使得工质消耗达到全局最优,且耗时仅有常规遗传算法的万分之一。该算法为集群快速安全聚集提供了思路。     

航天器与短期空间碎片云碰撞概率算法

讨论了航天器与碎片云碰撞概率的提法,介绍了不同碰撞概率间的转换方法。在航天器轨道和碎片云中心轨道都确定情况下,研究了碰撞概率的一般算法;并根据C-W方程推导了只在短时间内有效的简化碰撞概率算法。最后通过蒙特卡洛法验证了简化算法的正确性。     

基于双层博弈的多臂在轨服务航天器路径规划

针对在轨服务多臂航天器系统高精度的位姿协同要求及其运动过程中的避障约束,提出一种基于机械臂末端（腕关节）和肘关节的双层博弈多臂路径规划方法。研究建立了多臂运动学模型,在博弈论基础上建立多臂的博弈模型;给出了双层博弈的基本算法流程及其纳什均衡解的求解策略;以动目标多臂围捕为场景进行仿真分析,验证所提出算法末端精确跟踪抓取和肘部避障能力的有效性和实用性。所得结果可为多臂在轨服务航天器的智能化路径规划与控制提供新的解决方案。      

全向移动机器人动态避障方法

动态避障是全向移动机器人在复杂工作环境下不可或缺的能力。针对在复杂动态环境下传统人工势场法容易陷入局部极小点、目标点不可达和振荡等问题,提出了利用水流场的思想重新定义人工势场的斥力势场函数及其方向,改进方法在不增加计算量的情况下能够使机器人平滑且安全无碰撞到达目标点,实现避障过程。为了实现三维动态仿真,提出了一种基于V-REP与MATLAB的联合仿真方法,并结合改进人工势场法实现全向移动机器人的动态避障模拟,验证了方法的平滑性和可行性。将所提方法应用于实验室内真实场景,全向移动机器人成功实现了动态规避动作,验证了方法的实用性。      

考虑相互碰撞影响的月壤颗粒运动轨迹计算方法研究

针对登月着陆器下降过程扬起月壤颗粒的运动轨迹及空间分布问题, 提出了考虑月壤颗粒发生完全弹性碰撞和非完全弹性碰撞两种情况的月壤颗粒运动轨迹计算方法. 根据质量守恒和能量守恒定律确定月壤颗粒相互碰撞后的速度, 通过羽流场与月壤颗粒的流固耦合相互迭代计算方法, 获得被扬起的月壤颗粒在羽流场和相互碰撞共同作用下随时间的运动轨迹和空间分布. 基于美国Apollo 11登月过程实测数据, 采用数值模拟对该方法进行验证. 结果表明, 考虑月壤颗粒相互碰撞的影响后, 其运动规律出现较明显的扩散趋势. 进一步考虑月壤颗粒相互碰撞引起能量损失的影响后, 月壤颗粒的扩散趋势有所减弱, 并且扬起的高度随着恢复系数的减小而降低.      

场发射电推力器的参数选择与调控方法

场发射电推力器具有几种不同的发射模式，分别产生荷质比不同的带电液滴或带电离子，使得不同模式下推力性能差别显著。针对不同的空间应用，需要设计不同种类的场发射电推力器，使其达到相应的推力参数。为此对场发射电推力器的发射过程展开分析，确定了推力参数的调控方法。首先对场发射电推力器的基本工作原理进行了阐述，并对不同发射模式的基础物理机制进行了分析。在此基础上通过理论计算得出采用不同推进剂可达到不同发射模式这一结论，并最终得出推力器性能参数的调控方法，论证了推力性能受到推进剂种类和发射模式的影响，在离子发射模式下处于高比冲、低推力工况，而液滴发射模式下处于低比冲、高推力工况。此外推力参数还受到供给流量、外加电压等多种因素的影响。在得到推力器参数的调控方法后，设计了一种主动供给型离子液体电推力器，以离子液体EMI BF4作为推进剂，进行了相应的试验研究。通过改变外加电压，实现了对推力器推力性能的调控，证实了此调控方法的可行性。推力器达到的推力范围为1.6~10μN，比冲范围为154~978s。     

基于拉普拉斯变换的空间目标碰撞概率计算方法

碰撞概率是空间碎片碰撞预警中评判碰撞发生可能性大小的重要依据,对航天器机动规避具有重要意义。基于拉普拉斯变换的碰撞概率计算方法利用拉普拉斯变换以及幂级数的定义,推导了在短时间接近情况下碰撞概率的幂级数表达式,分析了碰撞概率的截断误差并确定了在不同精度要求下的幂级数项数。针对2009年美俄卫星的碰撞事件,将基于拉普拉斯变换的碰撞概率计算结果与Chan方法、Monte Carlo方法的计算结果进行比较,验证了基于拉普拉斯变换方法在计算精度上的优势。