Study of highly perturbed spacecraft formation dynamics via approximation

This paper explores methods for approximating and analyzing the dynamics of highly perturbed spacecraft formations with an emphasis on computationally efficient approaches. This facilitates on-board computation or rapid preliminary mission design analysis. Perturbed formation dynamics are often approximated as linear time-varying (LTV) systems, for which Floquet theory can be used to analyze the degree of system instability. Furthermore, the angular momentum of the relative orbital state can be computed with the approximate dynamics to provide additional insight. A general methodology is developed first and then applied to the problem of unstable formation dynamics in asteroid orbits. Here the dominant perturbative effects due to low-order gravitational harmonics and solar radiation pressure are modeled. Numerical simulations validate the approach and illustrate the approximation accuracy achieved.     

Fault mode probability factor based fault-tolerant control for dissimilar redundant actuation system

This paper presents a Fault Mode Probability Factor (FMPF) based Fault-Tolerant Control (FTC) strategy for multiple faults of Dissimilar Redundant Actuation System (DRAS) composed of Hydraulic Actuator (HA) and Electro-Hydrostatic Actuator (EHA). The long-term service and severe working conditions can result in multiple gradual faults which can ultimately degrade the system performance, resulting in the system model drift into the fault state characterized with parameter uncertainty. The paper proposes to address this problem by using the historical statistics of the multiple gradual faults and the proposed FMPF to amend the system model with parameter uncertainty. To balance the system model precision and computation time, a Moving Window (MW) method is used to determine the applied historical statistics. The FMPF based FTC strategy is developed for the amended system model where the system estimation and Linear Quadratic Regulator (LQR) are updated at the end of system sampling period. The simulations of DRAS system subjected to multiple faults have been performed and the results indicate the effectiveness of the proposed approach.     

Accurate approximation of in-ecliptic trajectories for E-sail with constant pitch angle

Propellantless continuous-thrust propulsion systems, such as electric solar wind sails, may be successfully used for new space missions, especially those requiring high-energy orbit transfers. When the mass-to-thrust ratio is sufficiently large, the spacecraft trajectory is characterized by long flight times with a number of revolutions around the Sun. The corresponding mission analysis, especially when addressed within an optimal context, requires a significant amount of simulation effort. Analytical trajectories are therefore useful aids in a preliminary phase of mission design, even though exact solution are very difficult to obtain. The aim of this paper is to present an accurate, analytical, approximation of the spacecraft trajectory generated by an electric solar wind sail with a constant pitch angle, using the latest mathematical model of the thrust vector. Assuming a heliocentric circular parking orbit and a two-dimensional scenario, the simulation results show that the proposed equations are able to accurately describe the actual spacecraft trajectory for a long time interval when the propulsive acceleration magnitude is sufficiently small.     

最小二乘直线函数的特性分析

证明了最小二乘直线函数是一种严格的凸函数。F(a,b)=∑(y-ax_i-b)~2是一个椭圆抛物面。a=[n∑x_iy_i-∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]和b=[∑x_i^2∑y_i-∑x_i∑x_i∑y_i]/[n∑x_i^2-(∑x_i)~2]仅表示极值点。a=∑x_iy_i/∑x_i和 b=[∑x_i^2∑y_i-∑x_i∑x_iy_i]/[n∑x_i^2]在某些情况下可以是极值点,但不是在每种情况下都是极值点。     

Flutter analysis of an airfoil with bounded random parameters in incompressible flow via Gegenbauer polynomial approximation

The effects of parameter uncertainty on the flutter characteristics of a two-dimensional airfoil in an incompressible flow were investigated through Gegenbauer polynomial approximation. The uncertain parameters, such as the linear and cubic pitch stiffness coefficients are modeled as bounded random variables with λ-PDFs (probability density functions). With the aid of Gegenbauer polynomial approximation, the two-dimensional stochastic airfoil system is transformed at first into its equivalent deterministic one. Then the Hopf-bifurcation point is determined through the equivalent deterministic system, and the onset of the flutter, together with the flutter frequency against the probability density distribution parameter and the intensity of the random variable is explored. In addition, the ranges of the peak pitch and plunge responses against the flight speed and the PDFs of the peak pitch response are obtained. Numerical results show how the probability density distribution parameters and the intensities of random parameters affect the flutter onset speed, flutter angular frequency, the upper and lower boundaries of peak responses, and the PDFs of peak responses.     

区域极点及方差约束下的航天器拦截控制：静态输出反馈情形

本文提出并讨论了具有选通窗约束的航天器拦截控制问题，指出航天器拦截控制的稳暂态性能指标可表现为系统稳态状态方差及闭环区域极点的形式。然后，基于配置控制的思想，本文完整地给出了期望静态反馈控制器的存在条件及其解析表达式，并举例说明所提设计方法的直接性与有效性     

基于FM-AM转换的伪码调相-载波调频复合引信信号的脉内特征提取研究

伪码调相和载波调频复合信号因具有好的距离、速度分辨率和测速测距精度,所以广泛应用在雷达和引信中。在电子对抗中为了实施欺骗性干扰,必须有效地提取复合信号的参数特征,为此本文研究了FM-AM转换时频分析的理论及其实现方法,并利用该方法对伪码调相-载波调频复合信号进行了脉内特征分析。具体包括伪码调相正弦载波信号、伪码调相复合正弦调频信号及伪码调相复合线性调频信号。仿真结果表明,在信噪比为5dB时,利用FM-AM转换时频分析技术,不但可以提取载波调频的特征信息,而且能够有效提取伪码的特征信息。     

线性四元树表示图象的距离变换

二元数组表示的图象使用的距离概念运用于线性四元树表示。指出棋盘距离特别适合于线性四元树。定义线性四元树的棋盘距离变换为树中各个黑四分形中心到最近边界四分形黑一白边界的距离。这里提出的距离变换算法主要特点是(1)它是一种代数方法,(2)各个四分形只计算一次距离,和(3)距离信息非常快地传递到区域内部。该算法可以推广到线性八元树表示的三维客体。     

一种新的四路激光跟踪坐标测量系统的基点标定方法

在激光跟踪三维坐标测量系统中,系统首先要经过标定,才可以进行实际测量。因此系统标定的准确度会直接影响系统最终测量准确度。为了提高标定准确度,提出一种新的标定方法,即利用直线法原理,在优化布局下,采用两路激光干涉仪测量出基点的三维坐标。仿真结果表明目标点相对于基点呈对称分布时,测得的基点坐标准确度比非对称分布时高6到7倍,并通过实验得出了在该优化布局下的基点坐标。     

多元线性回归在坐标测量中的应用

简要介绍了多元线性回归的数学原理,重点分析了坐标测量中利用回归分析进行基本几何要素处理计算的原理、方法和预处理技巧,在此基础上介绍和讨论了形位误差的处理计算方法。