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.     

Orbit determination and prediction of GEO satellite of BeiDou during repositioning maneuver

In order to establish a continuous GEO satellite orbit during repositioning maneuvers, a suitable maneuver force model has been established associated with an optimal orbit determination method and strategy. A continuous increasing acceleration is established by constructing a constant force that is equivalent to the pulse force, with the mass of the satellite decreasing throughout maneuver. This acceleration can be added to other accelerations, such as solar radiation, to obtain the continuous acceleration of the satellite. The orbit determination method and strategy are illuminated, with subsequent assessment of the orbit being determined and predicted accordingly. The orbit of the GEO satellite during repositioning maneuver can be determined and predicted by using C-Band pseudo-range observations of the BeiDou GEO satellite with COSPAR ID 2010-001A in 2011 and 2012. The results indicate that observations before maneuver do affect orbit determination and prediction, and should therefore be selected appropriately. A more precise orbit and prediction can be obtained compared to common short arc methods when observations starting 1 day prior the maneuver and 2 h after the maneuver are adopted in POD (Precise Orbit Determination). The achieved URE (User Range Error) under non-consideration of satellite clock errors is better than 2 m within the first 2 h after maneuver, and less than 3 m for further 2 h of orbit prediction.     

Novel finite-time attitude control of postcapture spacecraft with input faults and quantization

This paper investigates a novel finite-time attitude control method for the postcapture spacecraft with an unknown captured space target in the presence of input faults and quantization. First, a quasi fixed-time convergent performance function is developed to quantitatively characterize the attitude tracking performance. Then, a backstepping prescribed performance attitude controller is devised via using integral barrier Lyapunov function. Compared with the existing works, the fractional state feedback and discontinuous controller is directly avoided to achieve the fixed-time convergence rate. Namely, the proposed fixed-time controller is easily achieved online. Finally, two groups of illustrative examples are organized to validate the effectiveness and robustness of the proposed control method.     

BLKF方法抑制MEMS惯性传感器随机噪声

针对微机电系统（MEMS）惯性传感器应用卡尔曼滤波（KF）处理数据时随机噪声难以估计的缺点，提出一种基于贝叶斯拉普拉斯卡尔曼滤波（BLKF）的随机噪声更新方法。该方法利用拉普拉斯近似算法，将贝叶斯边缘分布近似表示，能够避免贝叶斯方法更新过程中由于数据维数较大造成后验边缘分布较难估计的情况，提高对随机噪声的更新效率和精度。通过陀螺仪转台实验采集实验数据，运用KF与BLKF分别滤波。对比滤波结果可发现，BLKF比KF能更好地反映真实角速度状态。同时，在陀螺仪角速度变化时，BLKF的可靠性和准确性更高，滤波效果更具优势，能够达到抑制MEMS惯性传感器随机噪声的目的。     

变体辅助的无人机栖落机动模糊控制设计

无人机（Unmanned aerial vehicle， UAV）的栖落机动是一种大幅度的俯仰运动，易引起升降舵操纵力矩饱和。本文以变体方式增强无人机的俯仰操纵能力，并研究其对应的控制设计方法。首先对栖落机动建立了纵向动力学模型，并通过采用轨迹线性化和张量积变换方法转换得到T-S模糊模型。基于Lyapunov稳定理论和平方和方法，设计了满足控制输入约束的栖落机动多项式模糊控制器。对非变体与变体下的栖落机动控制过程进行了仿真，结果验证了控制律的有效性，并且表明变体辅助的无人机具有更强的操纵性能，能提高栖落机动中升降舵的抗饱和能力。     

Thrusting maneuver control of a small spacecraft via only gimbaled-thruster scheme

The thrust vector control (TVC) scheme is a powerful method in spacecraft attitude control. Since the control of a small spacecraft is being studied here, a solid rocket motor (SRM) should be used instead of a liquid propellant motor. Among the TVC methods, gimbaled-TVC as an efficient method is employed in this paper. The spacecraft structure is composed of a body and a gimbaled-SRM where common attitude control systems such as reaction control system (RCS) and spin-stabilization are not presented. A nonlinear two-body model is considered for the characterization of the gimbaled-thruster spacecraft where, the only control input is provided by a gimbal actuator. The attitude of the spacecraft is affected by a large exogenous disturbance torque which is generated by a thrust vector misalignment from the center of mass (C.M). A linear control law is designed to stabilize the spacecraft attitude while rejecting the mentioned disturbance torque. A semi-analytical formulation of the region of attraction (RoA) is developed to ensure the local stability and fast convergence of the nonlinear closed-loop system. Simulation results of the 3D maneuvers are included to show the applicability of this method for use in a small spacecraft.     

Effects of in-track maneuver on Sun illumination conditions of near-circular low Earth orbits

By developing approximate analytical models considering the J₂ perturbation, the effects of an in-track maneuver on the orbital Sun illumination conditions of near-circular low Earth orbits are analyzed. First, two approximate models for the variations in orbital sunshine angles are developed, one for variations at a given time and the other for variations at a given argument of latitude. Next, two approximate models for variations in orbital arc in Earth shadow are developed, one considers the small eccentricity and the other uses the zero eccentricity. Finally, the developed approximate models are applied to analyzing the Sun illumination conditions of a typical in-track maneuver mission on a near-circular low Earth orbit. From the results obtained, three major conclusions can be drawn. First, the variations in orbital sunshine angles at a given time may reach tens of degrees when the drifting time reaches hundreds of orbital periods, and the approximate model for that situation cannot effectively approach the numerical results. Second, the variations in orbital sunshine angles for any given argument of latitude are only a couple of degrees even when the drifting time reaches 500 orbital periods, and the approximation model developed can effectively approach the numerical results. Third, for variations in orbital arc in Earth shadow, the approximate model considering the small eccentricity has simple expressions and can effectively approach the numerical results; in contrast, the approximate model using the zero eccentricity has relatively worse precision.     

控制力矩陀螺轴承组件摩擦力矩特性研究

控制力矩陀螺轴承组件是空间飞行器姿态控制系统的核心部件，其轴承的性能直接影响着空间飞行器姿态控制系统的控制精度和使用寿命，甚至危及空间飞行器安全.对于控制力矩陀螺轴承组件，轴承摩擦力矩大小及其波动性是轴承的关键性能指标，针对空间飞行器控制力矩陀螺轴承组件，在滚动轴承摩擦学和动力学基础上，建立六自由度控制力矩陀螺轴承组件非线性动力学微分方程组，并采用预估 校正的GSTIFF(Gear stiff)变步长积分算法进行求解，对其在有/无重力的工作环境、公 自转工况、轴承预紧力以及保持架兜孔间隙对轴承摩擦力矩幅值及其波动性的影响进行分析.分析结果表明：预紧力对轴承组件摩擦力矩影响显著，预紧力过大或过小都不利于降低摩擦力矩及其波动性，对于本文分析的轴承组件最佳预紧力为50~55N；保持架稳定性受重力影响显著，无重力时自转工况下保持架较稳定；过小的兜孔间隙会使摩擦力矩增大，过大的兜孔间隙会使摩擦力矩波动性增大，存在最优兜孔间隙使得摩擦力矩及其波动性都较小，针对本文分析型号的轴承组件，间隙比应控制在0.6~0.8之间.     

Neural network-based fault diagnosis for spacecraft with single-gimbal control moment gyros

This paper proposes a neural network-based fault diagnosis scheme to address the problem of fault isolation and estimation for the Single-Gimbal Control Moment Gyroscopes(SGCMGs) of spacecraft in a periodic orbit. To this end, a disturbance observer based on neural network is developed for active anti-disturbance, so as to improve the accuracy of fault diagnosis.The periodic disturbance on orbit can be decoupled with fault by resorting to the fitting and memory ability of neural network. Subsequ...     

改善反作用轮低速性能的补偿观测器方法

基于Ｄａｈｌ摩擦模型,给出了用于卫星姿态三轴稳定控制的反作用轮低速动力学方程,就反作用轮转速过零对卫星姿态产生的扰动现象进行了分析,提出了一种利用非线性观测器估计摩擦力矩,并予以补偿的补偿观测器方法。仿真结果表明,该方法改善了反作用轮低速性能,提高了卫星姿态控制的指向精度和稳定度。