Nonlinear filtering methods for spacecraft navigation based on differential algebra

The paper investigates the problem of nonlinear filtering applied to spacecraft navigation. Differential algebraic (DA) techniques are proposed as a valuable tool to implement the higher-order numerical and analytic extended Kalman filters. Working in the DA framework allows us to consistently reduce the required computational effort without losing accuracy. The performance of the proposed filters is assessed on different orbit determination problems with realistic orbit uncertainties. The case of nonlinear measurements is also considered. Numerical simulations show the good performance of the filter in case of both complex dynamics and highly nonlinear measurement problems.     

Estimation and analysis of GPS receiver differential code biases using KGN in Korean Peninsula

The total electron content (TEC) estimation by the Global Positioning System (GPS) can be seriously affected by the differential code biases (DCB), referred to as inter-frequency biases (IFB), of the satellite and receiver so that an accuracy of GPS–TEC value is dependent on the error of DCBs estimation. In this paper, we proposed the singular value decomposition (SVD) method to estimate the DCB of GPS satellites and receivers using the Korean GPS network (KGN) in South Korea. The receiver DCBs of about 49 GPS reference stations in KGN were determined for the accurate estimation of the regional ionospheric TEC. They obtained from the daily solution have large biases ranging from +5 to +27 ns for geomagnetic quiet days. The receiver DCB of SUWN reference station was compared with the estimates of IGS and JPL global ionosphere map (GIM). The results have shown comparatively good agreement at the level within 0.2 ns. After correction of receiver DCBs and knowing the satellite DCBs, the comparison between the behavior of the estimated TEC and that of GIMs was performed for consecutive three days. We showed that there is a good agreement between KASI model and GIMs.     

二维热传导方程第一边值问题的一种差分格式

构造了二维热传导方程第一边值问题的一种隐式差分格式 ,并证明了该格式的精度和可行性。该格式与常用的古典格式相比有较高的精度 ,同时也具有可操作性 ,便于计算。     

利用GPS进行角速度确定的研究

提出了一种利用GPS进行载体角速度测量的方法 ,建立了测量数学模型 ,并进行了计算机仿真 ,仿真结果表明 ,该方案可以得到较为满意的结果     

基于三阶解析解的小行星平衡点附近halo轨道确定方法研究

尽管周期解的存在性已经被证明,但要在给定的动力学系统中寻找到满足一定精度要求的周期解依然是一件极富挑战性的工作.提出如下方法确定小行星平衡点附近精确的周期轨道(halo轨道).首先扩展运动方程:将小行星平衡点附近轨道运动方程的右端项在平衡点处展成三阶幂级数.从而将非线性运动学方程扩展为拟线性微分方程.然后求近似解析解:应用Lindstedt-Poincaré方法求解扩展后的运动方程组,将周期解和其运动频率展开成三阶幂级数,并将二者代人扩展后的拟线性微分方程中.这样就可以得到三个不同阶的线性运动方程,逐次求解三个微分方程并消除解中的永年项即可得到hal.轨道的三阶解析解.最后微分校正:将周期轨道在三阶解析解附近线性化,得到状态转移矩阵,并使用状态转移矩阵和轨道终端状态的偏差修正轨道初值,从而得到满足精度要求的精确引力场中的halo轨道.     

减速器内部金属屑运动仿真分析

为掌握因轴承磨损产生的金属屑在直升机中间减速器内部流场中的运动状态，针对其固-液-气三相流特征建立了金属 屑颗粒受力平衡方程和多相流模型-离散相模型（VOF-DPM）耦合的CFD仿真模型。基于离散相运动方程编程计算及采用CFD仿 真分析方法获得了减速器内部颗粒的运动轨迹、运动速度，并据此对比验证了VOF-DPM耦合模型的正确性；利用CFD仿真分析 了颗粒在流体中运动时各种附加力对颗粒运动轨迹的影响，探究连续相空气、滑油与离散相颗粒三者之间的相互作用机理。结果 表明：连续相和离散相耦合作用对颗粒运动的影响较小，轨迹误差约5%、速度误差约3%，可忽略不计；虚质量力、压力梯度力和 Magnus升力对颗粒运动轨迹影响较大，Saffman升力对颗粒运动轨迹影响较小，而热泳力与布朗力不适用于直升机中间减速器固- 液-气三相流情形。     

RB211-535E4发动机齿轮箱预防性维修改进措施

通过介绍老龄发动机RB211-535E4发动机高速外部齿轮箱的结构特点和齿轮箱经常发生滑油渗漏的特性,提出了Ameco自主研发的齿轮箱渗漏试验方案。该试验不仅能够准确判断齿轮箱渗漏区域,而且成为了节约维修成本、防止发动机空停的有效预防性维护措施之一。     

Precise control of a magnetically suspended double-gimbal control moment gyroscope using differential geometry decoupling method

Precise control of a magnetically suspended double-gimbal control moment gyroscope (MSDGCMG) is of vital importance and challenge to the attitude positioning of spacecraft owing to its multivariable, nonlinear and strong coupled properties. This paper proposes a novel linearization and decoupling method based on differential geometry theory and combines it with the internal model controller (IMC) to guarantee the system robustness to the external disturbance and parameter uncertainty. Furthermore, by introducing the dynamic compensation for the inner-gimbal rate-servo system and the magnetically suspended rotor (MSR) system only, we can eliminate the influence of the unmodeled dynamics to the decoupling control accuracy as well as save costs and inhibit noises effectively. The simulation results verify the nice decoupling and robustness performance of the system using the proposed method.     

一种用于空间翻滚目标接近控制的相对运动建模方法

针对空间翻滚目标等一类相对运动复杂的接近控制问题，首先重点研究了基于微分几何理论的相对运动建模，建立视线旋转坐标系下的三维相对运动方程；然后将三维相对运动解耦为视线瞬时旋转平面内的相对运动和该平面的转动，建立了统一的控制器设计框架，形式统一简洁、物理意义明确，消除传统制导与控制策略中俯仰、偏航通道的耦合因素影响；最后通过六自由度仿真算例证明，相对运动模型物理意义明晰、鲁棒性强、控制精度高、工程实现容易。     

Guidance laws for attacking defended target

In this paper, two new guidance laws based on differential game theory are proposed and investigated for the attacker in an attacker-defender-target scenario.The conditions for the attacker winning the game are analyzed when the target and defender using the differential game guidance law based on the linear model.The core ideas underlying the two guidance laws are the attacker evading to a critical safe boundary from the defender, and then maintaining a critical miss distance.The guidance law more appropriate for the attacker to win the game differs according to the initial parameters.Unlike other guidance laws, when using the derived guidance laws there is no need to know the target and the defender's control efforts.The results of numerical simulations show that the attacker can evade the defender and hit the target successfully by using the proposed derived guidance laws.