Compensation of base disturbance using optimal trajectory planning of dual-manipulators in a space robot

This paper presents a trajectory planning algorithm for a space robot with dual-manipulators. Here one manipulator of the space robot captures a target, and another manipulator is free. In this case, this study uses one manipulator as the mission manipulator to capture the target, and another as the balance manipulator aiming at the compensation of the pose disturbance. For this method, a novel trajectory planning algorithm applied to the balance manipulator is presented. The trajectory planning problem is transformed into series of problems of the optimal state solution, and then the iterative algorithms for the trajectory planning are designed. In the iterative algorithms, the bias force on the spacecraft base caused by the balance manipulator is used as the compensation force. Then, to calculate the expected compensation force and torque, a pose control law for the spacecraft base is introduced. The expected compensation force and torque provide equality constraints for optimization problems, which implies that the trajectory planning algorithm compensates for not only the disturbance generated by the manipulator’s motion, but also environmental disturbances. This is because the expected compensation force and torque depend on the pose change of the spacecraft base rather than the type of the disturbance. Numerical simulation was carried out to analyze the proposed trajectory planning method. It was observed that the method greatly reduces the disturbance of Manipulator A on the spacecraft base. These results validated the effectiveness of the proposed method for the trajectory planning to make the spacecraft base disturbance up to minimum.     

GOCE star tracker attitude quaternion calibration and combination

We analyse the inter-boresight angles (IBA) measured by the star trackers on board the GOCE satellite and find that they exhibit small offsets of 7–9″ with respect to the ones calculated from the rotation of the star tracker reference frames to the satellite reference frame. Further, we find small variations in the offsets with a peak-to-peak amplitude of up to 8″, which correlate with variations of the star trackers’ temperatures. Motivated by these findings, we present a method for combining the attitude quaternions measured by two or more star trackers that includes an estimation of relative attitude offsets between star trackers as a linear function of temperature. The method was used to correct and combine the star tracker attitude quaternions within the reprocessing of GOCE data performed in 2018. We demonstrate that the IBA calculated from the corrected star tracker attitude quaternions show no significant offsets with respect to the reference frame information. Finally, we show that neglecting the star tracker attitude offsets in the processing would result in perturbations in the gravity gradients that are visible at frequencies below 2?mHz and have a magnitude of up to 90?mE. The presented method avoids such perturbations to a large extent.     

根据同时观测信息确定航天器 姿态四元数的一种解析方法

介绍根据星敏感器同时观测几颗恒星的方向信息,用最小二乘法确定飞行器姿态的经典Wehba问题.针对用四元数描述飞行器姿态的情况,推导了的一种解析算法.观测5颗恒星实例的仿真结果表明,该算法能保证飞行器体轴系相对惯性系姿态的高精度.     

基于陀螺和星敏感器的卫星姿态确定算法

主要研究了基于陀螺和星敏感器配置的卫星姿态确定算法.为保证卫星姿态确定的高精度,利用星敏感器提供的姿态四元数结合扩展卡尔曼滤波,对陀螺漂移进行实时补偿.并利用在轨数据,通过matlab数学仿真,验证了高精度滤波算法的有效性.所设计的滤波器能准确估计陀螺漂移,估计误差优于5.56×10-5(°)/s;姿态估计误差优于0....     

捷联惯导系统初始四元数提取的新算法

给出了捷联惯导系统初始四元数提取的两种新算法。其中算法1的推导是基于方向余弦矩阵和四元数的代数关系式，而算法2则利用了姿态转动的几何特点。与经典的四元数提取算法相比，所给出的算法具有简单、可靠、无奇异的特点，而且所得四元数的归一化程度也优于传统方法。利用数值仿真对所提算法的优越性进行了验证，结果表明，方法是合理的、可行的。     

几何代数及其在飞行力学中的应用

介绍了几何代数的基本知识,比较了几何代数与矢量代数、四元数的区别和联系,并推导了它们在表示旋转时的互相转换关系,展示了几何代数在描述空间旋转变换时的便利.最后通过相对姿态运动的分析,展示了几何代数在飞行力学中应用的可行性.     

大机动飞行仿真的一种改进算法

传统的四元数和欧拉角之间的转换仅是对体轴系下的姿态角进行处理,并没有考虑与航迹轴相关的航迹角的转换问题,这样,在大机动飞行仿真中不仅会使飞机方程的解出现奇异,而且不能正确表示飞机的姿态。为此,提出了一种新的改进算法,采用该算法,不仅能够实现全角度的四元数与欧拉角之间的转换,同时也对航迹角的解算进行了相应的处理,使仿真结果与工程实际情况完全一致。经过对多种大机动飞行动作的仿真,验证了本方法是正确、实用的。     

并存大角速率转动的圆锥算法精度评估

本文利用圆锥运动和大角速率转动并存条件下的规范化四元数,对扩展形式级数圆锥算法和扩展形式显式频率整形圆锥算法进行了理论误差分析,给出了理论的误差公式.针对不同条件下,即大角速率转动和圆锥频率变化时,揭示了扩展形式频率级数圆锥算法和扩展形式显式频率整形圆锥算法精度差异的原因.同时,仿真也证明了圆锥运动和大角速率转动并存条件下,扩展形式频率级数圆锥算法和扩展形式显式频率整形圆锥算法理论误差分析结果的正确性.     

四元数在战斗机飞行仿真中的应用

阐述了在战斗机的飞行仿真中采用四元数的原因和四元数的几何意义，并按照中国战斗机飞行仿真中采用的坐标系，介绍了三个问题，四元数运动学方程；四凶数与坐标变换矩阵的关系；用四元数表示的欧拉角；与此同时给出了一组数字仿真曲线，最后讨论了四元数法优于欧拉法之处。     

一类6-SPS相似平台并联机构正运动学的简明解

6-SPS相似 Stewart平台是一种动、静平台均为平面六边形 ,且彼此相似的并联机构。并联机构正运动学是一个位置和姿态耦合的复杂非线性问题 ,难以求得解析解。通过引入四元数来表示旋转变换和应用对偶空间方法对高阶多项式进行降阶处理 ,可以用一组二阶方程来表示该类并联机构的正运动学。在这组方程中 ,动平台的位置和姿态是解耦的。此外 ,在方程组求解过程中 ,能避免产生伪复根。最后通过求根公式直接得到机构动平台位姿的 8个解析解