Attitude controller design for orbital target tracking of geostationary satellite under avoidance constraint

A coordinated attitude control problem is addressed for which a geostationary satellite should maintain communication with a ground station while simultaneously tracking space objects. The coordinated attitude control discussed in this study is related to the attitude maneuvers of a tracking satellite and to the orbital motion of targets placed in orbits of lower altitudes. Modified Rodrigues parameters are employed to avoid singularities even in the presence of large attitude maneuvers. The initial attitude error is calculated based upon an arbitrary initial configuration for the target tracking, so that a sequential tracking from one to another target can be achieved easily. Additionally, avoidance maneuvers aimed at protecting sensitive onboard sensors from the Sun and the Moon are designed using the so-called navigation function. When the avoidance areas are on the transient path due to the coordinated attitude maneuver command, the maneuver is performed with no violation against the given constraint areas by adopting the navigation function.     

Venus transfer design by combining invariant manifolds and low-thrust arcs

The design of interplanetary trajectories based on patched circular restricted three body models is gradually becoming a valuable alternative to the classical patched conic approach. The main advantage offered by such a model is the possibility to exploit the manifold dynamics to move naturally far from or toward a body. Generally, propulsive maneuvers are required to match these structures. Low-thrust arcs offer the possibility to have a significant propellant mass reduction when moving from manifold to manifold. The aim of this paper is to present a methodology to design low-thrust trajectories between two planetary orbits connecting the manifolds of two circular three body systems. The approach is based on a grid search on the main parameters governing the solution to identify those trajectories moving within the manifold images on given Poincarè sections. The value of the Jacoby constant of the target libration point periodic orbit is chosen as stop condition for the thrusting phases. Ballistic arcs follow up to the proper Poincarè section intersection. A grid search for an Earth to Venus transfer is presented as test case.     

Halo轨道维持的线性周期控制策略

共线型平动点附近的Halo轨道具有指数不稳定性,轨道维持是必不可少的。推导了基于Halo轨道的误差动力学方程,并证明其一阶近似即为线性周期系统。以一次维持的作用时间为离散步长,并通过定常变换,将所得误差动力学化为线性离散定常系统;则仅需通过极点配置,即可实现Halo轨道镇定。研究结果表明,利用Halo轨道周期性设计的线性周期控制策略,可以满足轨道维持任务的需要。     

空间机械臂辅助深层采样阻抗控制策略

针对空间机械臂辅助深层采样任务中的建模与控制问题,基于刚体李群SO(3)方法对机械臂进行建模。通过梯形规划对机械臂进行轨迹规划,采用阻抗控制方法控制机械臂运动。推导了李群SO(3)模型下机械臂关节空间与末端笛卡尔空间之间的雅可比矩阵,并且得到了两个空间的相互转换关系。采用锥互补方法计算采样机械臂与复杂接触面的碰撞力,并基于非光滑算法求解锥互补条件与系统动力学方程。通过对比位置控制与阻抗控制,证明了阻抗控制在实际应用过程中能够更加柔顺地控制机械臂与接触面进行接触。通过对控制参数进行调整,探究了不同控制参数对机械臂控制的影响,优化得到了合适的控制参数,从而能控制机械臂辅助完成深层采样的任务。     

系统参数对电动力绳系动力学的影响

将电动力绳系(EDT)的主星质量、子星质量、绳系质量以及绳系中的电流视为系统参数,研究这些参数对系统的摆动动力学和轨道动力学的影响。哑铃模型下的电动力绳系摆动动力学方程存在不稳定的周期解,通过Floquet理论来衡量周期解的不稳定程度,从而研究各系统参数对摆动动力学的影响。建立了用春分点轨道元素的形式描述的电动力绳系轨道动力学方程,并以降轨时间来衡量电动力绳系的降轨效率,从而研究系统参数对轨道动力学的影响。运用算例对周期解迁移矩阵的特征值、降轨时间随各系统参数的变化关系进行了仿真,分别得出了各系统参数对系统摆动动力学和轨道动力学的影响。综合本文的仿真结果,并考虑实际发射及空间运行中的其它因素,对电动力绳系的设计和降轨策略提出了建议。     

Vibration control of a flexible space manipulator during on orbit operations

Space manipulators are complex systems, composed by robotic arms accommodated on an orbiting platform. They can be used to perform a variety of tasks: launch of satellites, retrieval of spacecraft for inspection, maintenance and repair, movement of cargo and so on. All these missions require extreme precision. However, in order to respect the mass at launch requirements, manipulators arms are usually very light and flexible, and their motion involves significant structural vibrations, especially after a grasping maneuver. In order to fulfill the maneuvers of space robotic systems it is hence necessary to properly model the forces acting on the space robot, from the main terms, such as the orbital motion, to the second order perturbations, like the gravity gradient and the orbital perturbations; also flexible excitation of the links and of the joints can be of great importance in the manipulators dynamics. The case is furthermore complicated by the fact that the manipulator, together with its supporting spacecraft, is an unconstrained body. Therefore the motion of any of its parts affects the entire system configuration. The governing equations of the dynamics of such robotic systems are highly nonlinear and fully coupled. The present paper aims at designing and studying active damping strategies and relevant devices that could be used to reduce the structural vibrations of a space manipulator with flexible links during its on orbit operations. In particular an optimized adaptive vibration control via piezoelectric devices is proposed. The number of piezoelectric devices, their placement and operational mode should be correctly chosen in order to obtain maximum performance in terms of elastic oscillations reduction and power consumption. Even though an optimal placement cannot have a universal validity, since it depends on the type of maneuver and on the overall inertial and geometrical characteristics, an approach to solve the problem is proposed.     

编队飞行自主控制的自适应方法

自主的高精度相对控制是实现卫星编队任务的关键技术,自主性要求控制器尽可能只利用星载设备所能提供的测量信息以减少星间通信量,高精度要求控制器连续的消除干扰力、期望轨迹推演以及参考星轨道控制与机动所造成的跟踪误差,为此,本文推导了描述星间相对运动的完整动力学模型以及对期望轨迹的跟踪误差模型,基于Lyapunov方法设计了自适应控制器,并证明了此控制器可以保证闭环系统的最终跟踪误差小于指定的界。本文给出的控制器仅需要星间的相对位置和相对速度测量,不需要主星的轨道参数、轨道位置和轨道机动信息,从而具有较高的自主性。仿真结果表明本文给出的控制器可以完成对期望轨迹的跟踪。     

Geostationary station keeping control of a space elevator during initial cable deployment

This paper presents a basic concept to derive an orbital control strategy to achieve the full deployment and the geostationary station keeping of a space elevator during its initial cable deployment. The space elevator model is composed of a main spacecraft, a sinker mass and a massive cable connecting them. The cable elasticity, flexibility and taper of the cross-sectional area are omitted for simplification. A reference trajectory is designed so that the space elevator and its center of mass ascend vertically along the geostationary position with keeping the geostationary orbital rate. From the reference trajectory analyses, an orbital control that leads the space elevator orbit to the reference one is derived. However it is found that the reference trajectory is unstable throughout the deployment and a linear feedback control is introduced for stabilization. It is also clarified that the libration destabilizes the orbital control because the orbital acceleration caused by the libration always acts in the opposite direction to the orbital control. Therefore, a libration control is also introduced to stabilize the coupled orbital and librational motions. Numerical simulation result clearly shows that these controls facilitate the full deployment and the geostationary station keeping of the space elevator within the feasible thrust force and amount of propellant.     

一种基于频域分析的柔性空间机械臂振动抑制方法

针对采用两级控制的大型柔性空间机械臂轨迹跟踪与振动抑制问题,文章在对系统频域进行分析的基础上,提出了一种应用滤波的振动抑制方法,即通过降低中央控制器输出信号的频率减少伺服跟踪的动态误差。此方法能够有效提高机械臂末端解析点(POR)的动态跟踪精度,并抑制机械臂振动。文章通过某大型机械臂全柔性系统仿真算例对方法的有效性进行了验证,可为机械臂控制和振动抑制提供借鉴。     

一种新的共线平动点拟周期轨道稳定保持策略

限制性三体问题下共线平动点附近的拟周期轨道在深空探测中具有重要的实际应用价值,得到了各航天大国的广泛重视。通过将动力学中心流形结构引入轨道控制方法的设计之中,得到了基于投影到中心流形的共线平动点拟周期轨道稳定保持策略。首先推导了会合坐标到中心流形坐标的正则变换方法,在此基础上设法通过引入轨道机动,将偏差状态点投影到中心流形上,从而达到消除不稳定分量的目的。该方法充分整合了平动点的动力学特性,并且也适用于周期轨道的稳定保持。通过对Lissajous轨道和晕轨道的数值仿真表明,该方法较以往方法具有更强的稳定性,能在显著降低轨控燃料消耗的基础上达到较好的稳定保持效果。     

CHANG'E-2 lunar escape maneuvers to the Sun–Earth L2 libration point mission

This paper addresses lunar escape maneuvers of the first Chinese Sun–Earth L2 libration point mission by the CHANG'E-2 satellite, which is also the world's first satellite to reach the L2 point from a lunar orbit. The lunar escape maneuvers are heavily constrained by the remaining propellant and the condition of telemetry, track and command, among others. First, these constraints are analyzed and summarized to design a target L2 Lissajous orbit and an initial transfer trajectory. Second, the maneuver mathematical models are studied. The multilevel maneuver schemes which consist of phasing maneuvers and a final lunar escape maneuver are designed for actual operations. Based on the scheme analysis and comparison, the 2-maneuver scheme with a 5.3-h-period phasing orbit is ultimately selected. Finally, the mission status based on the scheme is presented and the control operation results are discussed in detail. The methodology in this paper is especially beneficial and applicable to a future multi-mission instance in the deep space exploration.     

空间机械臂的确定性学习控制

研究一类空间机械臂系统的基于模式的控制方法。首先在训练阶段,基于确定性学习理论设计自适应神经网络控制器使机械臂系统跟踪不同的任务模式,得到对应于不同任务模式的一系列空间机械臂闭环动态的局部准确神经网络建模,并利用这些模型构造对应不同任务模式的常值神经网络控制器。其次,在测试阶段,首先快速识别出任务模式,然后调用相应的常值神经网络控制器实现对空间机械臂系统基于模式的闭环控制。理论证明基于模式的控制方法可提高机械臂闭环系统的控制性能,并可避免频繁切换。理论结果最后在空间机械臂中得到了仿真校验。     

平面型两关节空间机器人的自适应轨迹控制

基于参数线性分离方法，得到了平面型两关节空间机器人线性参数化形式的动力学模型，这种模型非常适合于采用自适应控制方法。控制策略考虑了机器人各关节之间的耦合及机械臂与基座航天器之间的耦合，对航天器姿态的控制和机械臂的控制进行综合，在满足手端跟踪期望轨迹的同时，保证航天器姿态基本不变。控制器由一个PD反馈项和一个补偿动力学不确定性的非线性自适应反馈项构成，能够保证对期望关节轨迹的全局渐进跟踪，提高了空间机器人操作的适应性和安全性。     

基于多相机的空间机械臂视觉系统

视觉系统是空间机械臂的重要组成部分,空间机械臂除开环控制外的所有工作模式都不能离开视觉系统的引导和辅助而独立实现。文章以建立满足空间机械臂实际应用需求的视觉系统为目标,提出通过分布在不同空间位置的多个相机的协同工作扩展并增强视觉系统的监视和测量能力,并从系统组成、工作模式、测量方式等多方面完成空间机械臂视觉系统方案设计。仿真试验结果表明,目标三维位姿的测量误差与视觉标记点检测结果的误差近似成线性关系,视觉标记点检测的准确性对目标位姿测量的精度具有重要影响。室内环境试验结果表明,在视觉系统的引导下机械臂能够自主完成对目标的定位和捕获,视觉系统满足空间机械臂大范围运动和精准操作任务的应用需求。     

空间碎片软捕获姿轨控模型构建与仿真

为构建利用柔性机械臂捕获空间碎片的系统仿真模型,首先分析梳理空间碎片捕获典型任务流程,包括轨道转移、位置保持、路径规划、动量稳定控制等阶段;然后针对任务流程分别搭建基于Simu Link的路径规划、动量缓冲控制、姿态控制、动力学和轨道仿真等子系统;各个子系统之间以TCP/IP的方式进行数据交互,最终完成空间碎片软捕获任务姿轨控仿真系统的构建。     

Dynamics analysis of space robot manipulator with joint clearance

A computational methodology for analysis of space robot manipulator systems, considering the effects of the clearances in the joint, is presented. The contact dynamics model in joint clearance is established using the nonlinear equivalent spring-damp model and the friction effect is considered using the Coulomb friction model. The space robot system dynamic equation of manipulator with clearance is established. Then the dynamics simulation is presented and the dynamics characteristics of robot manipulator with clearance are analyzed. This work provides a practical method to analyze the dynamics characteristics of space robot manipulator with joint clearance and improves the engineering application. The computational methodology can predict the effects of clearance on space robot manipulator preferably, which is the basis of space robot manipulator design, precision analysis and ground test.     

General dynamics of a large class of flexible satellite systems

The paper presents a general formulation for librational dynamics of satellites with an arbitrary number, type and orientation of deploying flexible appendages. In particular, the case of beam-type flexible appendages deploying from a satellite in an arbitrary orbit is considered. The governing nonlinear, nonautonomous and coupled equations for vibration of the appendages and libration of the satellite are integrated numerically. Several cases of practical importance are considered making the system progressively more general and hence complex: (i) planar case representing pitch and appendage oscillations in the orbital plane; (ii) general attitude motion with planar vibrations of flexible members; (iii) above two cases together with the out-of-plane component of vibrations. Results show that under critical combinations of the system parameters the combined effect of flexibility and deployment can be substantial.     

Modal control of the planar motion of a long flexible beam in orbit

Attitude control techniques for the pointing and stabilization of very large, inherently flexible spacecraft systems are investigated. The attitude dynamics and control of a long, homogeneous flexible beam whose center of mass is assumed to follow a circular orbit is analyzed. In this study, first order effects of gravity-gradient are included, whereas external perturbations and related orbital station keeping maneuvers are neglected. A mathematical model which describes the system deflections within the orbital plane has been developed by treating the beam as having a maximum of three discretized mass particles connected by massless, elastic structural elements. The uncontrolled dynamics of this system are simulated and, in addition, the effects of the control devices are considered. The concept of distributed modal control, which provides a means for controlling a system mode independently of all other modes, is examined. The effect of varying the number of modes in the model as well as the number and location of the control devices are also considered.     

空间柔性臂的解耦动力学模型及其控制

提出了一种空间柔性结构通过关节电机同时实现轨迹控制和振动抑制的方法。针对单连杆空间柔性臂,采用非约束模态法建立了刚柔解耦动力学模型;提出了基于应变反馈的PID控制策略,并设计了PID／应变反馈复合控制器,同时实现对柔性臂末端运动轨迹的定位控制和弹性振动抑制控制;仿真结果验证了该控制策略的可行性。