Spacecraft attitude maneuver control using two parallel mounted 3-DOF spherical actuators

A parallel configuration using two 3-degree-of-freedom (3-DOF) spherical electromag-netic momentum exchange actuators is investigated for large angle spacecraft attitude maneuvers. First, the full dynamic equations of motion for the spacecraft system are derived by the Newton-Euler method. To facilitate computation, virtual gimbal coordinate frames are established. Second, a nonlinear control law in terms of quaternions is developed via backstepping method. The pro-posed control law compensates the coupling torques arising from the spacecraft rotation, and is robust against the external disturbances. Then, the singularity problem is analyzed. To avoid sin-gularities, a modified weighed Moore-Pseudo inverse velocity steering law based on null motion is proposed. The weighted matrices are carefully designed to switch the actuators and redistribute the control torques. The null motion is used to reorient the rotor away from the tilt angle saturation state. Finally, numerical simulations of rest-to-rest maneuvers are performed to validate the effec-tiveness of the proposed method.     

克服旋转飞行器螺旋运动的方法研究

旋转飞行器虽然具有内在稳定性，但在飞行过程中一些不确定因素会导致飞行器产生螺旋运动，而非理想的关于角动量矢量纯粹的旋转运动。结合旋转飞行器自身的特点，借鉴自旋卫生的被动章动阻尼的方法，提出了一种通过主动控制飞行器内部质量块的运动使得飞行器碑的惯量主轴发生偏移，惯量矩阵由原来的对称阵变为含有非零非对角元素的矩阵，从而改变飞行器的姿态角运动来克服螺旋运动的方法，这将有助于提高旋转飞行器的资态控制精度。以某型旋转飞行器为背景进行仿真研究，计算结果证实了该方法的有效性和可行性。     

逼近无控旋转目标航天器的混合势函数安全制导

研究了追踪航天器逼近无控旋转目标航天器的安全制导问题，逼近过程中，追踪航天器需要躲避空间中的障碍物，同时需要避免与目标航天器的太阳能电池帆板和天线等附件发生碰撞。建立了视线坐标系下的两航天器间的相对运动方程，采用四元数描述目标航天器的姿态运动。将参考位置设为引力源，设计了吸引势函数。针对安全逼近问题，建立了球面安全区和锥面安全走廊，设计了安全势函数。将障碍物假设为具有一定半径的球体，设计了障碍物势函数。吸引势函数、安全势函数和障碍物势函数一起组成了混合势函数。为了解决整个势场中除参考位置外还可能存在其他局部极小点问题，对混合势函数进行了修正，保证参考位置位于混合势函数的最低点。利用Lyapunov稳定性理论对混合势函数进行了稳定性分析，推得符合要求的控制加速度，使追踪航天器沿着混合势函数的负梯度方向逼近无控旋转目标航天器。最后通过数值仿真验证了该方法的有效性。     

The Use of a Spinning Dissipator for Attitude Stabilization of Earth-Orbiting Satellites

This paper considers a novel attitude stabilizing system which acts both as a passive nutation damper and a momentum source for an Earth-orbiting satellite. The system may be designed to use four identical wheels mounted coaxially with and at the ends of the arms of a cruciform structure. The structure may then be spun about the axis perpendicular to the arms to provide angular momentum along the spacecraft spin axis. The wheels experience torques produced by inertial forces. The necessary damping and restoring (spring) torques are provided by means of a torsional arrangement built around the center of each wheel. The performance characteristics of the proposed stabilizing unit are evaluated by considering spacecraft parameters used in one phase of development of the Communications Technology Satellite (CTS). The results obtained for a specific design of the stabilizer indicate that global stability of the desired attitude motion of the spacecraft can be guaranteed with associated damping time constant as low as one second.     

基于对偶数的航天器多特征融合相对导航算法

针对基于视觉的航天器相对导航问题,利用对偶数推导并给出了航天器相对耦合动力学方程,该方程一体化描述了追踪航天器相对于目标航天器的姿态运动和轨道运动,且考虑了由非质心点引起的相对姿态与相对轨道之间的耦合影响。在对偶代数的框架内,统一描述了目标航天器上的特征点和特征线,并基于特征点、线在像平面的投影建立了多特征融合的单目视觉测量模型。最后通过对系统状态方程以及测量方程的线性化,应用迭代扩展卡尔曼滤波(IEKF)算法对非质心点的相对运动状态进行了估计。仿真结果表明,本文的算法能够对航天器非质心点的相对运动状态进行较高精度的估计。     

一种偏置动量轮在轨维护的变带宽控制方法

针对长寿命运行卫星在轨维护中出现的备份偏置动量轮离散性差异较大,导致俯仰角收敛缓慢的问题,在姿态现象分析的基础上,根据卫星姿态动力学原理,建立偏置动量轮工作模式下的俯仰姿态的PID(Proportion Integration Differentiation,比例积分微分)控制模型,并进行系统开环与闭环传递函数公式推导。然后在伯德图(Bode Diagram)基础上,重点分析相位裕量的敏感参数,给出俯仰姿态控制回路的带宽调整方法,实现变带宽控制。卫星偏置动量轮在轨切换维护的结果表明,通过及时调整PID参数,减小回路带宽,可以有效改善相位裕量,保持卫星控制性能,实现俯仰姿态快速收敛,且俯仰角控制精度优于0.03°,取得较好的应用效果。     

Momentum wheel start-up method for HAUSAT-2 ultra-small satellite

This paper addresses a newly proposed start-up method of the HAUSAT-2 satellite momentum wheel. The HAUSAT-2 is a 25 kg class nanosatellite which is stabilized to an earth pointing attitude by 3-axis active control method. A momentum wheel performs two functions. It provides a pitch-axis momentum bias while measuring satellite pitch and roll attitude. Pitch control is accomplished in a conventional way by driving a momentum wheel in response to pitch attitude errors. Precession control and nutation damping are provided by operating the pitch-axis magnetic torquer. A momentum wheel is nominally spinning at a particular rate, and speed changes are made as needed. Spinning the momentum wheel redistributes the angular momentum to the spacecraft body. If the wheel is suddenly spun up to its nominal speed, the large momentum produced together with the existing momentum due to the nominal rotational motions will result in a high disturbance and unstable motion. This simulation study investigates the feasibility and performance of a proposed strategy for starting-up the wheel. A proposed strategy to start-up the wheel shows that its pitch momentum wheel can start-up successfully to its nominal speed from rest, and can be stabilized to nadir pointing within about three orbits.     

利用能量/动量飞轮的偏置动量姿态控制系统

研究偏置动量姿态控制系统中的集成能量与姿态控制问题。利用一对正 反转飞轮提供偏置角动量并同时储 /放能以满足星载设备的能源需求。滚动 /偏航运动由俯仰轴磁矩控制。设计了力矩形式的飞轮的控制律 ,使之提供期望的俯仰控制力矩 ,并以给定的功率储 /放能。保持两只飞轮正 反转可以完全避免飞轮控制律中的系统奇异。提出了利用动能反馈的飞轮储能功率规划方案 ,以使系统维持能量平衡 ,避免由于能量过剩引起的飞轮饱和。飞轮的最小转动惯量受最大偏置角动量和最小能量的限制 ,结合几何方法对这种限制条件进行了分析。数值仿真结果证明了控制方案的有效性。     

基于空间算子代数的航天器多体动力学递推实时仿真算法

进一步发展了空间算子代数符号体系,给出了一组坐标系无关空间矢量,张量和矢阵符号表示和相应的坐标投影规则.基于空间算子代数符号体系,推导了适用于航天器实时仿真的无根、树状拓扑、开环多体动力学递推算法,并根据投影规则给出了递推算法在惯性坐标系的投影方程.新的空间算子代数符号体系有符号定义严格,推导过程力学概念清晰,推导结果易于实时仿真程序实现的优点.推导的递推算法非常适合于正逆混合问题和变拓扑问题的求解,可以满足多体航天器动力学实时仿真的要求.     

Invariant and energy analysis of an axially retracting beam

The mechanism of a retracting cantilevered beam has been investigated by the invariant and energy-based analysis. The time-varying parameter partial differential equation governing the transverse vibrations of a beam with retracting motion is derived based on the momentum theorem. The assumed-mode method is used to truncate the governing partial differential equation into a set of ordinary differential equations (ODEs) with time-dependent coefficients. It is found that if the order of truncation is not less than the order of the initial conditions, the assumed-mode method can yield accurate results. The energy transfers among assumed modes are discussed during retrac-tion. The total energy varying with time has been investigated by numerical and analytical methods, and the results have good agreement with each other. For the transverse vibrations of the axially retracting beam, the adiabatic invariant is derived by both the averaging method and the Bessel function method.     

Local controllability and stabilization of spacecraft attitude by two single-gimbal control moment gyros

The attitude control problem of a spacecraft underactuated by two single-gimbal control moment gyros （SGCMGs） is investigated. Small-time local controllability （STLC） of the attitude dynamics of the spacecraft-SGCMGs system is analyzed via nonlinear controllability theory. The conditions that guarantee STLC of the spacecraft attitude by two non-coaxial SGCMGs are obtained with the momentum of the SGCMGs as inputs, implying that the spacecraft attitude is STLC when the total angular momentum of the whole system is zero. Moreover, our results indi- cate that under the zero-momentum restriction, full attitude stabilization is possible for a spacecraft using two non-coaxial SGCMGs. For the case of two coaxial SGCMGs, the STLC property of the spacecraft cannot be determined. In this case, an improvement to the previous full attitude stabilizing control law, which requires zero-momentum presumption, is proposed to account for the singu- larity of SGCMGs and enhance the steady state performance. Numerical simulation results demonstrate the effectiveness and advantages of the new control law.     

地球同步轨道薄膜太阳帆的姿态轨道控制方法

薄膜太阳帆（FSS）是集推进、发电和姿轨控功能于一体化的超大型挠性太阳帆式航天器，通过调整薄膜反射率产生可变推力和力矩，实现其姿态和轨道运动控制。结合薄膜太阳帆在地球同步轨道运行时的受力特性进行了轨道漂移分析。通过建立薄膜太阳帆动力学模型及受力模型，提出了调整帆面角度轨道修正方法以及基于薄膜光压力矩角动量卸载的长期在轨对日定向面内双轴动量轮稳定控制方法。通过系统仿真验证表明所提的轨道修正和对日定向控制方法是合理有效的，可使薄膜太阳帆长期在定点位置维持对日定向。     

空间翻滚非合作目标消旋技术发展综述

大量残存太空的空间垃圾对在轨运行航天器的安全构成严重威胁,对其进行主动移除已迫在眉睫。火箭末级、失效卫星等非合作目标已失去姿态调整能力,且长期在失控状态下运行,受太阳光压、重力梯度等摄动力矩及失效前自身残余角动量等因素的影响往往会出现翻滚运动。对翻滚非合作目标直接捕获存在碰撞风险,为降低风险系数采取消旋后再捕获是较为合适的方式。在对火箭末级、失效卫星等典型非合作目标运动形式及消旋过程进行分析的基础上,综述了目前国内外所提出的接触式及非接触式消旋方法,并对非合作目标翻滚运动测量及动力学参数辨识和消旋控制这两项消旋共性关键技术进行了归纳总结。本综述将为中国空间碎片主动清除技术的发展提供有益参考。     

Attitude control of a bias momentum satellite using moment ofinertia

Analysis on the attitude controller based upon moment of inertia distribution for a bias momentum satellite is discussed. Spacecraft moment of inertia distribution is represented in the form of product of inertia terms in the system inertia matrix. The product of inertia between orthogonal body axes of the satellite is used to build a controller which controls the nutational motion caused by the angular momentum of the wheel. The attitude controller in the pitch axis controlling the pitch motion as well as nutational dynamics in the roll/yaw planes is analyzed in detail. Analytic expressions using linearized equations are derived providing further insight into the dynamic coupling effect among orthogonal body axes     

Super twisting controller for on-orbit servicing to non-cooperative target

A relative position and attitude coupled controller is proposed for rendezvous and docking between two docking ports located in different spacecraft. It is concerned with servicing to a tumbling non-cooperative target spacecraft in arbitrary orbit subjected to external disturbances.By considering both kinematic and dynamical coupled effects of relative rotation on relative translation, a coupled dynamic model is established to represent the relative motion of docking port on target spacecraft with respect to another on the service spacecraft. The spacecraft control is based on the second order sliding mode algorithm of super twisting(ST). It is schemed to manipulate the relative position and attitude synchronously. A formal proof of the finite time convergence property of the closed-loop system is derived theoretically by the second method of Lyapunov. Numerical simulations with the designed ST controller are presented to validate the analytic analysis by contrast with the twisting control algorithm. Simulation results demonstrate that the proposed relative position and attitude integrated controller is characterized by high precision, strong robustness and high reliability.     

Rotational maneuver of nonlinear uncertain elastic spacecraft

The question of attitude control and elastic mode stabilization of a spacecraft (orbiter) with beam-tip-mass-type payloads is considered. A three-axis moment control law is derived to control the attitude of the spacecraft. The derivation of the control moments acting on the spacecraft does not require any information on the system dynamics. The control law includes a reference model and a dynamic compensator in the feedback path. For damping out the elastic motion excited by the slewing maneuver, an elastic mode stabilizer is designed. The stabilization is achieved by modal velocity feedback using force and torque actuators located at the payload end of the elastic beam. Collocated actuators and sensors provide robust stabilization. Simulation results are presented to show that rotational maneuvers and vibration stabilization can be accomplished in the closed-loop systems despite the presence of model uncertainty and disturbance torque in the system     

Attitude Stabilization and Control of Dual-Spin Spacecraft

This invention relates to an attitude stabilizing system for adrodshaped satellite in which stabilization is achieved by use of a spinning ing energy dissipator. The system can operate by being mounted on the rotor of a dual spin satellite of by being connected to the main body of the satellite through a motor and bearing assembly. In the latter situation, the stabilizer acts both as a nutation damper and a momentum source and thereby eliminates the need for an additional rotor element to provide the spacecraft momentum. The spinning energy dissipator may be designed to use four identical al wheels mounted coaxially with and at the ends of the arms of a cruciform structure. The structure may then be spun about the axis perpendicular to the arms, to provide angular momentum along the spacecraft spin axis. In the event of any spacecraft nutation, n, the wheels experience the torques produced by inertial forces. The necessary damping and restoring (spring) torques are provided by means of a torsional arrangement built around the center of each wheel. In order to provide damping at lower threshold of spacecraft nutations, the dissipator wheels may also include viscous ring dampers mounted on or around each wheel.     

Adaptive control and stabilization of elastic spacecraft

This work treats the question of large angle rotational maneuver and stabilization of an elastic spacecraft (spacecraft-beam-tip body configuration). It is assumed that the parameters of the system are completely unknown. An adaptive control law is derived for the rotational maneuver of the spacecraft. Using the adaptive controller, asymptotically decoupled control of the pitch angle of the space vehicle is accomplished, however this maneuver causes elastic deformation of the beam connecting the orbiter and tip body. For the stabilization of the zero dynamics (flexible dynamics), a stabilizer is designed using elastic mode velocity feedback. In the closed-loop system including the adaptive controller and the stabilizer, reference pitch angle trajectory tracking and vibration suppression are accomplished. Simulation results are presented to show the maneuver capability of the control system     

A novel biased proportional navigation guidance law for close approach phase

A novel biased proportional navigation guidance (BPNG) law is proposed for the close approach phase, which aims to make the spacecraft rendezvous with the target in specific relative range and direction. Firstly, in order to describe the special guidance requirements, the concept of zero effort miss vector is proposed and the dangerous area where there exists collision risk for safety consideration is defined. Secondly, the BPNG, which decouples the range control and direc-tion control, is designed in the line-of-sight (LOS) rotation coordinate system. The theoretical anal-ysis proves that BPNG meets guidance requirements quite well. Thirdly, for the consideration of fuel consumption, the optimal biased proportional navigation guidance (OBPNG) law is derived by solving the Schwartz inequality. Finally, simulation results show that BPNG is effective for the close approach with the ability of evading the dangerous area and OBPNG consumes less fuel compared with BPNG.     

精确轨道航天器的姿态机动策略选择

航天器姿态控制一直是地面飞控的核心,尤其对于有精确轨道控制要求的航天器,姿态控制的策略选择直接关系任务成败。探月三期月地高速再入返回任务对再入角有着严格要求,为了实现返回器高精度再入,在系统介绍服务舱的姿态控制模式、控制方法和控制流程的基础上,提出了利用修改相平面参数和轮控调姿,以建立轨控姿态,从而减少姿控喷气,并提高轨控精度的方法。飞行结果表明,中途修正的控制精度从最初的分米量级提高至0.009m/s。高精度轨道控制使得提前32h再入角控制精度达到0.024°,较设计指标提高1个数量级。文中提及的轮控调姿方法可作为未来深空探测任务姿态控制的设计参考。