Stability of relative equilibria of the full spacecraft dynamics around an asteroid with orbit–attitude coupling

The full dynamics of spacecraft around an asteroid, in which the spacecraft is considered as a rigid body and the gravitational orbit–attitude coupling is taken into account, is of great value and interest in the precise theories of the motion. The spectral stability of the classical relative equilibria of the full spacecraft dynamics around an asteroid is studied with the method of geometric mechanics. The stability conditions are given explicitly based on the characteristic equation of the linear system matrix. It is found that the linearized system decouples into two entirely independent subsystems, which correspond to the motions within and outside the equatorial plane of the asteroid respectively. The system parameters are divided into three groups that describe the traditional stationary orbit stability, the significance of the orbit–attitude coupling and the mass distribution of the spacecraft respectively. The spectral stability of the relative equilibria is investigated numerically with respect to the three groups of system parameters. The relations between the full spacecraft dynamics and the traditional spacecraft dynamics, as well as the effect of the orbit–attitude coupling, are assessed. We find that when the orbit–attitude coupling is strong, the mass distribution of the spacecraft dominates the stability of the relative equilibria; whereas when the orbit–attitude coupling is weak, both the mass distribution and the traditional stationary orbit stability have significant effects on the stability. We also give a criterion to determine whether the orbit–attitude coupling needs to be considered.     

一类复杂力场中磁性刚体航天器的混沌姿态运动

研究在地球万有引力场和磁场中具有结构内阻尼的磁性刚体航天器的近赤道圆轨道上平面天平动的混沌行为。应用Melnikow方法建立了系统存在横截异宿环的条件，分别采用功率谱和Lyapunov指数等数值方法对系统力学行为进行识别。数值结果表明，在不同参数条件下系统出现周期运动和混沌运动。     

航天器交会最终逼近段相对姿态估计与控制

对航天器交会对接最终逼近段,给出姿态运动学方程统一形式以及相对姿态动力学方程;除了应用交会航天器的绝对姿态运动方程进行相对姿态估计(间接法)外,还直接应用相对姿态运动方程进行相对姿态估计(直接法);阐述相对姿态控制的相平面法与四元数反馈法的设计方法.相平面控制法应用常值推力,针对小姿态角机动的特点,将相对姿态通道解耦为3个独立的二阶子系统,设计相平面推力方向切换函数;四元数反馈法应用简化的基于本征轴旋转的线性二阶系统,选择相对四元数与角速率反馈增益系数,确定控制力矩.此外,对相对姿态估计与控制方法进行模拟计算与比较.理论分析与模拟计算结果表明:应用扩展Kalman滤波的相对姿态间接估计法与直接估计法是有效的,后者有可能简化估计算法;相平面控制法与四元数反馈法均可有效实现相对姿态控制,前者应用常值推力(推力方向与姿态反馈有关),较易实现,但动力消耗较大,后者按控制力矩随姿态反馈量而变,动力消耗较小.      

重力梯度力矩作用下近地卫星自旋运动规律分析

为研究近地卫星自旋运动规律，建立了近地卫星在受摄动影响的轨道上运行并受重力梯度力矩作用下的姿态运动模型，推导了自旋角速率满足一定条件下自旋运动的进动角、章动角、自旋角的解析解，对重力梯度作用下的自旋姿态运动规律进行了仿真分析，并用仿真计算结果验证了解析解的正确性。在轨道面缓慢进动情况下，当卫星绕最大主惯量轴自旋时，给出了自旋角速率取值范围表达式，在该取值范围内卫星自旋运动能够跟随轨道面一起进动，自旋轴以恒定的平均角速率进动，章动角在小范围内波动。建立的自旋姿态运动模型和分析结论可用于近地卫星姿态失控后的姿态确定和预测、在轨姿态设计及在轨备份等。     

万有引力场中带挠性轴太阳帆板航天器的姿态稳定性

研究了万有引力场中带挠性轴太阳帆板航天器的姿态运动、导出了航天器系统的广义势能,利用Liapunov直接方法判断带挠性轴太阳帆板航天器在轨道坐标系内相对平衡的稳定性,得到航天器姿态稳定性的充分条件。讨论了挠性轴扭转刚度及太阳帆板质量几何等因素对航天器姿态稳定性的影响。      

星载运动附件扰动抑制方法研究

为改善高分七号卫星（GF-7）在附件（特别是双轴定向天线）运动时的姿态稳定度，研究了星载附件指向运动平滑及其扰动抑制方法。首先，针对卫星姿态扰动主要来源于对地数传天线对地面通信目标的快速捕获运动的情况，通过引入具有角速度全局光滑性的路径平滑技术对天线的目标捕获过程进行规划；其次，针对含有双轴运动天线的整星姿态运动，建立了适用于任意星体运动速度下的一般动力学方程，并进行了对比验证。进而根据规划后的天线运动引起的扰动力矩对姿态控制系统引入前馈补偿，从而抑制天线运动对整星姿态的扰动影响。基于提出的扰动抑制方法进行数值仿真,结果表明，运动平滑与力矩补偿结合的协同控制技术可将天线扰动削减90%以上。     

充液航天器目标跟踪自适应控制

对于在零重力环境下受到横向控制力和俯仰控制力矩作用的带球形贮液箱的航天器模型,研究了其在平面运动的动力学特性.将晃动液体等效为单摆模型,利用Lagrange方法建立了系统动力学方程并且将其转化为状态变量方程形式;应用微分几何原理,以单输入—单输出系统（SISO）为例,研究了系统的非线性动力学特性,并进一步针对目标跟踪问题设计了SISO系统基于线性化模型的控制策略.研究结果表明：对于液体晃动-航天器姿态耦合动力学系统采用极点配置间接自校正控制策略能够实现姿态角的镇定及跟踪.     

Space-based line-of-sight tracking control of GEO target using nonsingular terminal sliding mode

This paper addresses the issue of high-precision line-of-sight (LOS) tracking of geosynchronous earth orbit target in highly dynamic conditions via spacecraft attitude maneuver. First, characteristics of the LOS motion are analyzed by a simplified linear relative motion model. Second, after transforming the quaternion-based attitude model into a double integrator system, a new nonsingular terminal sliding mode controller is proposed for spacecraft attitude tracking in a nominal case without parametric uncertainties and external disturbances. Third, an adaptive new nonsingular terminal mode controller is proposed for spacecraft attitude tracking in an uncertain case, which is done via constructing a pair of adaptive laws to estimate the parametric uncertainties and external disturbances online. The robust stability and finite time convergence property of the closed-loop system are demonstrated by Lyapunov theorem. Under control of the proposed controller, zero steady state error tracking of LOS with a smooth transition phase can be achieved in scheduled time, regardless of parametric uncertainties and external disturbances online. Finally, detailed numerical simulation results are presented to illustrate the effectiveness and performance of the proposed controllers. Contrasting simulation results shows that proposed controllers can track the desired trajectories effectively and have better performance against the controllers based on linear sliding mode and the existing fast nonsingular terminal sliding mode.     

线性伪谱模型预测能量最优姿态机动控制方法

针对大气层外飞行器大角度姿态机动控制问题,提出了一种能量最优的线性伪谱模型预测大角度姿态机动控制方法。首先,通过离线弹道规划获得满足初始、终端约束且能量最优的姿态机动控制轨迹;然后,以离线弹道为基准对姿态动力学方程进行小扰动线性化处理,获得以状态偏差为自变量的线性误差传播方程;最后,以能量最优作为性能指标,通过高斯伪谱法对原问题进行离散,推导获得满足终端偏差修正的控制解析表达式。数值计算和蒙特卡罗仿真表明,该方法不仅计算精度高、求解速度快,满足实时计算要求,而且具有较强的鲁棒性,能够实时消除各种干扰。此外,在同等控制精度条件下,该方法相对传统线性二次型调节器（LQR）跟踪方法,能量消耗减小10%。      

航天器编队飞行多目标姿态跟踪终端滑模控制

研究航天器编队飞行多目标姿态跟踪控制问题.为避免姿态大范围跟踪可能出现的奇点,采用欧拉参数描述航天器姿态.基于终端滑模技术,设计多目标姿态跟踪终端滑模控制器,并应用Lyapunov稳定性理论和扩展的Lyapunov有限时间稳定性理论证明控制系统稳定性和有限时间收敛性.该控制器参数方便调整,易于实现.由于没有对复杂多体航天器动力学进行线性化处理,从而保证了姿态跟踪控制精度.仿真结果表明,存在惯量参数摄动和外部干扰力矩的情况下,所设计的多目标姿态跟踪控制器具有良好鲁棒性和优越的跟踪性能.     

刚体航天器大角度姿态机动控制算法

针对刚体航天器在参数不确定及环境扰动情况下的大角度姿态机动问题,提出一种自适应离散变结构姿态控制算法.建立包含航天器姿态运动学及动力学的仿射模型,并精确反馈线性化解耦;对得到的各线性动态方程离散化处理,由离散指数趋近律推导了参数化的离散变结构姿态控制律.最后基于Lyapunov稳定性理论设计了控制参数的自适应更新律,有效克服了模型中的各时变项及干扰项影响.仿真结果表明,该算法可有效减小干扰引起的姿态指令角跟踪偏差,确保了大角度姿态机动控制的精确性与鲁棒性,并且消除了常规变结构控制的抖振现象.     

三维充液航天器的位置和姿态联合控制

考虑充液月球着陆器悬停避障阶段的控制问题,采用三维球摆作为液体晃动部分的等效模型.针对球摆与刚体耦合的三维动力学模型,给出动力学模型的矢量方程及各矢量在本体系的投影坐标,设计位置和姿态联合控制器.所设计的控制器可以稳定航天器刚体的位置和姿态,且只依赖刚体的位置和姿态,不依赖晃动角或者动力学方程,利于工程应用.利用LaSalle不变原理分析闭环系统的稳定性,给出期望姿态为竖直时系统渐近稳定的控制器参数选择依据.最后数值仿真验证控制方法的有效性.     

基于双力源的叠加式多维力传感器校准装置研究CSCD

介绍了一种基于叠加机原理的双力源多维力传感器校准装置的设计与研制,对装置的测量不确定度进行了分析,通过对三分量力传感器的校准实验,证明了校准装置不仅可以对多分量力传感器进行单分量校准,还能方便地实现耦合误差的校准。     

一种气浮模拟器位姿状态跟踪测量方法研究

气浮模拟器为了模拟空间飞行器在地面状态的姿态运动和轨道机动运动，需要在大平面空间和大角度空间范围内运动。运动控制和实际运动位置和姿态形成闭环控制，需要一种在超大平面空间范围内快速测量位置和姿态的测量方法和策略，从而提供高精度闭环控制。用iGPS和惯导同步测量模拟器的位置和姿态，通过飞轮和冷气喷嘴伺服动作，实现了气浮模拟器的位置和姿态跟踪，可以广泛应用于其他超大尺度空间位置和姿态测量跟踪。     

Halo轨道探测器的姿态描述与建模

日地系Halo轨道位于平动点附近,且不存在以地球为中心的轨道平面,这使得Halo轨道探测器的姿态描述和建模问题完全不同于近地卫星.针对三轴稳定方式的探测器,给出了2种姿态描述方案:对日定向方案(方案I,基于日、地敏感器)和旋转坐标系下定向方案(方案II,基于星敏感器).依据两者所定义的不同轨道坐标系,分别建立了姿态动力学模型.分析2类描述方案的相对误差,发现方案I的上限不超过5%,而方案II的上限不超过0.005%.并就方案I设计了姿态镇定控制器,以验证所提出的姿态描述方案的合理性.结果表明:具体工程应用中应以方案II为正常工作模式,并定期修正星历表的误差;方案I作为备份,保证探测器的正常运行.      

飞轮控制的欠驱动刚体航天器姿态控制器设计

针对"三正交加斜装"反作用轮系统中某两个本体轴上的飞轮失效的欠驱动情况,研究了航天器的姿态控制问题.在系统初始角动量为零的条件下,设计分段解耦控制律,实现了姿态稳定.采用欧拉角描述法建立了欠驱动航天器的姿态动力学方程和运动学方程.在系统初始角动量为零的条件下,通过分析方程的解耦特性,设计了分段解耦控制律.该方法经过6次机动控制,可实现姿态稳定.数值仿真验证了方法的有效性.     

Periodic attitude motions along planar orbits in the elliptic restricted three-body problem

A way to improve the accuracy of the three-body problem model is taking into account the eccentricity of primary attractors. Elliptic Restricted Three-Body Problem (ER3BP) is a model for studying spacecraft trajectory within the three-body problem such that the orbital eccentricity of primaries is reflected in it. As the principal cause of perturbation in the employed dynamical model, the primaries eccentricity changes the structure of orbits compared to the ideal Circular Restricted Three-Body Problem (CR3BP). It also changes the attitude behavior of a spacecraft revolving along periodic orbits in this regime. In this paper, the coupled orbit-attitude dynamics of a spacecraft in the ER3BP are exploited to find precise periodic solutions as the spacecraft is considered to be in planar orbits around Lagrangian points and Distant Retrograde Orbits (DRO). Periodic solutions are repetitious behaviors in which spacecraft whole dynamics are repeated periodically, these periodic behaviors are the main interest of this study because they are beneficial for future mission designs and allow delineation of the system’s governing dynamics. Previous studies laid the foundation for spacecraft stability analysis or studying pitch motion of spacecraft in the ER3BP regime. While in this paper, at first, initial guesses for correction algorithms were derived through verified search methods, then correction algorithms were used to refine calculated orbit-attitude periodic behaviors. Periodic orbits and full periodic solutions are portrayed and compared to previous studies and simpler models. Natural periodic solutions are valuable information eventuate in the longer functional lifetime of spacecraft. Since the problem assumption considered in this paper is much closer to real mission conditions, these results may be the means to use natural bounded motions in the actual operational environment.     

Formation flying for magnetic sails around artificial equilibrium points

This paper investigates the problem of magnetic sail-based spacecraft formation control around the artificial equilibrium points (AEPs), which can eliminate the requirement of the propellant. The thrusts are achieved by utilizing the interaction between the solar wind and the artificial magnetosphere generated by superconducting current coil onboard. The circular restricted three-body problem (CRTBP) of magnetic sail is discussed including the allowed regions and linear stability of AEPs, the locations of collinear AEPs and the possibility of existence of periodic orbits around the collinear AEPs. Next, the dynamical models of magnetic sail formation around the collinear AEPs are established. A novel fast fixed-time nonsingular terminal sliding mode controller (FFNTSM) based on fixed-time disturbance observer (FTDO) is developed to account for external disturbances. Several numerical simulations are conducted to substantiate that spacecraft formation can be precisely controlled by the proposed propellantless propulsion method in the presence of external disturbances.     

基于观测器的平台无陀螺姿态复合控制

针对超静卫星星体平台无陀螺、载荷敏感器与星体平台执行机构非共基准安装时整星存在姿态异位控制问题,提出了一种基于观测器估计星体平台姿态的复合控制方法。首先,建立星体平台/Stewart平台/载荷的动力学模型,并获得Stewart平台作动器关节空间的等效动力学模型。针对关节空间等效模型,设计super twisting观测器,以作动器平动位移为输入,以载荷和星体平台之间的相对姿态和角速度为输出,实现星体平台姿态和角速度估计。其次,以载荷测量姿态信息为输入,设计Stewart作动器的积分滑模控制律,实现载荷高精度指向控制。以观测器估计的星体平台姿态信息为输入,设计星体平台控制器实现星体平台的稳定控制。Lyapunov稳定性分析表明所设计的观测器和控制器能够保证闭环系统渐近稳定。数学仿真结果表明：在星体平台有陀螺时,载荷能够实现0.1″指向精度;在星体平台无陀螺时,采用观测器估计星体平台姿态并进行控制,载荷亦可实现0.1″指向精度。