Dynamical behaviors and relative trajectories of the spacecraft formation flying

To describe the relative motion of spacecraft formation flying, this paper presents a method based on relative orbital elements, which is suitable to elliptical orbit with arbitrary eccentricity. The long time formation flying conditions are theoretically derived taken into account the relationship between relative motion and relative orbital elements. These conditions include that both the orbital periods of all participating spacecrafts should be the same and other relative orbital elements should be small enough. The expected relative distance of the spacecrafts would determine the magnitudes of such relative orbital elements. Theoretical analysis and numerical simulation results show that the spacecrafts with sufficient small relative orbital elements can keep long time formation flying without any active control when the orbital perturbations are not considered. The results also show that Hill's equation is only suitable for describing a short time formation flying.     

Fiber-optic gyros and quartz accelerometers for motion control

In article the opportunity of use strapdown inertial navigation system (SINS) on the base of fiber-optic gyroscopes and quartz accelerometers corrected from star sensors and satellite navigation equipment (SNE) for perspective interplanetary spacecrafts motion control on phases of interplanetary trajectory insertion, trajectory correction, and braking during transition to Mars orbit is investigated. Results of onboard control complex accuracy characteristics estimation are presented at the given dynamic spacecraft scheme which is taking into account the liquid oscillations in tanks and structure elements elasticity. At modelling the errors of measuring devices installation, errors of SINS initial alignment and instrumental errors of SINS sensitive elements, variation of control engines parameters were taken into account. The structure of the developed complex of imitation modelling of interplanetary spacecraft controlled motion is resulted. Estimations of active flight legs realization accuracy were received by a method of statistical modelling of spacecraft controlled motion     

双框架控制力矩陀螺群的建模与分析

 研究采用双框架控制力矩陀螺群在卫星高精度姿态控制中的建模问题。对于中心刚体带有多个双框架控制力矩陀螺,构造了该系统的拉格朗日函数。采用拟拉格朗日方程建立了卫星姿态动力学模型。在建模中,陀螺的内、外框架未进行无惯量的假设,使得双框架运动带来的动力学特性得到了准确的反映;设计了适宜的标记,使得方程形式简洁并且统一。该模型为高精度的数学仿真和分析提供了基础。基于系统的拉格朗日函数,应用拉格朗日方程,分别建立了沿内、外框架轴和转子轴的轴向动力学方程,为执行机构伺服系统的动力学特性分析和控制器设计提供模型的依据。     

航天器椭圆轨道自主交会的自适应学习控制策略

 提出了一种在缺少绝对轨道信息时的航天器椭圆轨道自主交会方法。利用Lawden方程描述椭圆轨道下的两星相对运动关系,并将方程中的时变参数单独归类。在假设这些时变参数无法得到的情况下,采用Lyapunov方法设计了椭圆轨道下自主交会的参数估计规则和自适应学习控制律。仿真结果表明,在只有相对状态信息的情况下,估计参数有效地跟踪了真实参数的变化,所设计的控制律能够实现椭圆轨道下航天器的自主交会。     

GPS差分相对定位应用于航天器自主交会对接的研究

提出了一种适用于飞船交会对接的GPS差分相对定位导航方案。在远程导引段,采用坐标差分相对定位;在自动寻的段,采用双差载波相位平滑伪距技术;在接近和逼近段,采用双差载波相位浮点解相对定位,求得模糊度后,可采用双差载波相位整数解获得很高的定位精度。仿真试验证明,该方案切实可行。     

航天器相对运动的运动学模型研究

采用运动学方法研究航天器的相对运动.通过对无摄精确相对运动模型的简化,推导了以纬度幅角和平近点角为变量的无摄相对运动方程,并以此模型为基础建立了J2摄动下的相对运动模型,进行了相对轨道的仿真以及模型分析.仿真结果表明,运动学方法能给出较精确的相对运动方程,并且考虑摄动时,采用运动学描述比较简单.     

面向大尺度结构的力学超材料减振技术

随着航天器的大型化发展,振动控制策略已成为被广泛关注的关键技术之一,尤其针对大尺度薄膜结构的低频振动问题,传统减振方法难以发挥作用。为此,提出了基于局域共振原理的力学超材料结构,并利用该材料设计了一种新型的中低频被动减振结构,通过改变超材料单元结构可显著调控减振带隙的位置与带宽,被动减振频率最低可达100 Hz以内,对未来航天器的振动控制有一定的指导意义。     

具有随机参数的周期性结构振动分析的谱方法

为了探讨整圈连接的涡轮叶片组内各个叶片的制造偏差对叶片组振动的影响,本文利用一个具有周期性随机参数的结构模型来近似地模拟叶片组结构,并提出了分析这种结构的振动的一种谱方法。假定结构参数的标准差为微小量,因而可应用摄动法。将周期性随机结构参数展开成付氏级数,从而求解结构的自由振动和受迫振动,求得结构的频率和振型,以及共振振幅及其方差估计。论证了主振型的正交性,分析了此结构共振的特殊条件。算例表明,分析结果与实验结果具有相同的量级。     

四元数在伴随卫星姿态控制中的应用

针对传统的欧拉角方法不适用于航天器大幅度姿态机动运动的数值仿真。研究了用四元 空间站伴随卫星的姿态控制问题。介绍了空间站伴随卫星的概念及任务;根据航天器动力学方程,利用李雅普诺夫直接法推导出用四元数表示的空间站伴随卫星姿态控制律,并对该控制律进行了仿真计算,仿真结果表明,所推导的控制律能对空间站伴随卫星进行准确、快速的姿态控制。     

On Attitude Estimation Schemes for Fine-Pointing Control

This paper studies single-axis equations of motion that are applicable to a spacecraft or to a space experiment pointing assembly whose motion has been perfectly isolated from the carrier vehicle. It considers four state estimators for implementation in the control loop for a stellar observation experiment. The first three estimators are very general and do not make use of input torque in their prediction models, while the proposed fourth estimator utilizes this information, It is shown via closed-loop covariance analysis that the best achievable pointing performance with the best of the first three estimators is limited to about 0.125 are-sec (rms) with the given rate-gyro and star-tracker inaccuracies. It is also shown that the fourth estimator has the capability of achieving a pointing performance far superior to the performance achievable using the first three estimators. The fourth estimator relies on the ability to accurately generate the desired control torque (i.e., low input noise).     

大型挠性充液卫星的动力学模型

研究了带有多个挠性附件和液体燃料贮箱的中继卫星系统的动力学建模问题。给出了微重力下小幅线性晃动等效模型基本参数，用混合坐标法描述中继卫星系统的构形，利用虚功原理推导出的矩阵形式的中继卫星动力学模型简洁且具有一般性，适用于许多开链飞行器系统。     

Solar Origin of Anisotropic Electron Events observed by ULYSSES and ACE

We investigate the solar origin of energetic collimated electron events observed in situ by the EPAM and/or HISCALE particle experiments aboard the ACE and ULYSSES spacecraft, respectively. This study has been performed for two months, September and October 1999 when Ulysses was magnetically connected to the solar disk at heliolongitudes visible at the Earth. The two spacecraft were separated by about 35° in latitude and up to 60° in longitude. In this paper, results are described for one period only, October 24–November 1, 1999. It is found that not all the anisotropic events are observed by both spacecrafts; there exists a strong dependence on the spacecraft's magnetic connection back to the Sun. This revised version was published online in August 2006 with corrections to the Cover Date.     

Reachable set estimation for spacecraft relative motion based on bang-bang principle

For spacecraft formation flight, the information of relative motion reachable set is very important, which can be used to predict the operating boundary of adjacent spacecraft and thus to ensure the safety of spacecraft operation. In this paper, we aim at developing a numerical method to approximate the reachable set for spacecraft relative motion. In particular, we focus on the quality of the approximation and the computational cost. Based on the bang-bang control principle, a polyhedral approximation algorithm is proposed to compute the reachable set of a relative motion spacecraft system. An inner approximation and an outer approximation of the reachable set for the system can be obtained. We prove that the approximation quality measured in Hausdorff distance can be guaranteed. The method is easy to implement and has low computational cost. Finally, the effectiveness of the algorithm is demonstrated by experimental simulation.     

Nonlinear resonance characteristics of a dual-rotor system with a local defect on the inner ring of the inter-shaft bearing

In this paper, the nonlinear resonance characteristics of a dual-rotor system are investigated with the consideration of a local defect on the inter-shaft bearing of the system. A simplified model of the dual-rotor system is proposed by considering that there is a local defect on the inner ring of inter-shaft bearing. The local defect is modelled as an inverted isosceles trapezoidal groove, which can make great influence on the inter-shaft bearing force due to the change of radial clearance of the inter-shaft bearing. The motion equations of the dual-rotor system are formulated by using the Lagrange equation. The Runge-Kutta method is employed to solve the motion equation. The amplitude-frequency response curve of the dual-rotor system is obtained, the abnormal resonance characteristics are analyzed. In addition, the influence of defect parameters, rotors and support parameters and inter-shaft bearing parameters on the amplitude-frequency characteristics of the system are discussed. The results show that there are two main resonance peaks and four abnormal resonance peaks on the amplitude-frequency response curve of the dual-rotor with a local defect on the inner ring of the inter-shaft bearing. Through analyzing the vibration response of the abnormal resonance peaks, it is found that the first two abnormal resonances are caused by the combined resonance, which are related to the inner ring fault and the rotational speed of high or low pressure rotors, and the last two resonances are caused by the induced resonance of the inner ring fault. At the same time, when the parameters of defect, rotors and support and inter-shaft bearing change, the resonance of the system also shows the corresponding change law.     

球形重力场下的视线动力学方程

以交会对接问题为背景,建立了球形重力场下的视线动力学方程,其简化形式可以描述平面重力场下的相对运动。该方程直接描述了视线参数和机动策略之间的关系,可广泛应用于相对运动问题的机动策略研究。     

基于干扰观测器的天基观测航天器姿态控制设计

与地基空间目标监视系统相比,天基观测系统具有监视范围广,不受国界限制,观测精度高等优点,是未来空间目标观测技术的重要发展方向。但天基观测航天器工作时,相机转台的运动,太阳能帆板挠性部件的弹性振动与航天器的姿态运动相互影响,构成强耦合的非线性系统,传统的控制方案无法实现对这类天基观测航天器的高精度姿态控制。文章针对某一空间观测航天器的任务要求,设计了基于干扰观测器的前馈补偿航天器姿态控制系统,仿真实验结果表明:姿态角控制精度小于 0.06°,姿态角速度精度小于 0.03(°)/s,达到了精度要求。     

直升机前飞空中共振稳定性和各自由度相互作用研究

直升机在前飞状态下的稳定性研究比悬停时复杂得多。主要针对直升机前飞状态下的空中共振的稳定性加以研究,建立了旋翼和机体的结构模型、气动力模型和平衡方程组;计算和分析了某些典型情况的特征值、特征向量和各自由度之间的相互作用。在方程组的周期系数处理以及前飞时的相关参数对直升机空中共振稳定性的影响等方面进行了研究。从分析各个自由度间的相互作用入手揭示了直升机空中共振的物理本质及影响因素。     

Dynamics of Momentum Biased Spacecraft in a Near-Polar Orbit

The equations of motion of a momentum biased spacecraft are derived in a general form. The spacecraft is assumed to be orbiting in a near-elliptical orbit. An aerodynamic torque model which accounts for the atmospheric superrotation is assumed. The equilibrium attitude angles are obtained in terms of modified Bessel functions. Analytic expressions for the long-term motion of the momentum biased axis are derived for special cases. The analysis is applicable to the Magsat mission.     

单推力航天器交会对接轨迹规划及跟踪控制

针对单推力航天器交会对接问题，提出一种轨迹规划及跟踪算法。首先，考虑到追踪航天器只沿本体X轴安装推力器，且推力方向固定，为了实现从起始位置转移至期望位置并满足姿态要求，基于三维螺旋线设计两阶段转移轨迹，根据初末位置以及末端速度方向要求，求解螺旋线参数。该螺旋线可以保证在初末速度方向固定情况下，曲率积分最小。其次，为了降低轨迹跟踪难度并减小初始时刻的位置跟踪控制力，需要将转移轨迹初始速度与追踪星X轴重合。传统螺旋线无法满足该约束条件。本文对传统螺旋线进行改进，提出一种旋转螺旋线轨迹设计方法。通过引入姿态旋转矩阵，将螺旋线在三维空间旋转，在不改变曲线形状的前提下满足初末位置及速度方向要求。然后，为了跟踪转移轨迹以及跟踪期望推力方向，提出基于CLF（Control Lyapunov Function）的滑模控制策略，当追踪星X轴与期望推力方向夹角较大时，采用CLF，保证最优性；当姿态误差收敛至滑模面附近时，切换为滑模控制，以提升系统鲁棒性。最后，通过仿真验证旋转螺旋线相比于传统螺旋线的优势。