Distributed state estimation for linear time-invariant dynamical systems: A review of theories and algorithms

Distributed state estimation is of paramount importance in many applications involving the large-scale complex systems over spatially deployed networked sensors. This paper provides an overview for analysis of distributed state estimation algorithms for linear time invariant systems. A number of previous works are reviewed and a clear classification of the main approaches in this field are presented, i.e., Kalman-filter-type methods and Luenberger-observer-type methods. The design and the stabil...     

动力系统精细算法的逼近机理与误差分析

发现以下３者的协同作用是实现精细算法高精度，高效率的内在机制和根本原因：１）Ａ│ｘ│〈∞，指数矩阵ｅ＾Ｈｘ的Ｍａｃｌａｕｒｉｎ级数展开式绝对收敛；２）初始Ｍａｃｌａｕｒｉｎ级数展开式中的有效展开项总数能够通过递推算法以指数方式扩展；３）新增有效展开项的系数能够通过递推算法以指数或拟指数方式逼近其真值。     

Resonant quasi-periodic near-rectilinear Halo orbits in the Elliptic-Circular Earth-Moon-Sun Problem

Motivated by the near-future re-exploration of the cislunar space, this paper investigates dynamical substitutes of the Earth-Moon’s resonant Near-Rectilinear Halo Orbits (NRHOs) under the Elliptic-Circular Restricted Four-Body Problem formulation of the Earth-Moon-Sun system. This model considers that the Earth and Moon move in elliptical orbits about each other and that a third body, the Sun, moves in a circular orbit about the Earth-Moon barycenter. By making use of this higher-fidelity dynamical model, we are able to incorporate the Sun’s influence and the Moon’s eccentricity, two of the most significant perturbations of the cislunar environment. As a result of these perturbations, resonant periodic NRHOs of the Earth-Moon Circular Restricted Three-Body Problem (CR3BP) are hereby replaced by two-dimensional quasi-periodic tori that better represent the dynamical evolution of satellites near the vicinity of the Moon. We present the steps and algorithms needed to compute these dynamical structures in the Elliptic-Circular model and subsequently assess their utility for spacecraft missions. We focus on the planned orbit for the NASA-led Lunar Gateway mission, a 9:2 synodic resonant L₂ southern NRHO, as well as on the 4:1 synodic and 4:1 sidereal resonances, due to the proximity to the nominal orbit and their advantageous dynamical properties. We verify that the dynamical equivalents of these orbits preserve key dynamical attributes such as eclipse avoidance and near-linear stability. Furthermore, we find that the higher dimensionality of quasi-periodic solutions offers interesting alternatives to mission designers in terms of phasing maneuvers and low-altitude scientific observations.     

一种基于滑动库的多模自适应控制方法

针对系统参数跳变时常规自适应控制闭环系统暂态响应差的问题,论文提出了一种基于滑动库的多模自适应控制方法。该控制器由多个参数已知的固定模型,一个自适应模型和一个滑动模型库构成。固定模型由被控对象在特定环境下的特征模型直接映射获得,其参数和其邻域一起覆盖被控对象的参数集;自适应模型对被控对象进行在线参数辨识,其参数被用来动态更新固定模型库;滑动模型库根据当前的工作点从固定模型库中选择离工作点较近的部分模型参与控制,优化控制模型集,减少计算量。仿真实验的结果表明了该方法的有效性。     

一类椭圆轨道交会中的动力学方程研究

研究了一类追踪器和目标器轨道半长轴相差不大、轨道面外的距离相差不大的小偏心率椭圆交会的动力学问题.首先选择合适的圆轨道上的点建立参考系,推导出针对圆轨道参考系的无量纲化线性定常方程,并获得相应的相对状态;接着讨论该方程在小偏心椭圆轨道两冲量交会中的应用;最后进行数值仿真,验证动力学方程和制导策略,并与CW方程及制导策略的相关仿真进行比较.仿真结果表明本文给出的动力学方程的精度优于CW方程,能有效解决这类椭圆交会问题.     

Dynamical cartography of Earth satellite orbits

We have carried out a numerical investigation of the coupled gravitational and non-gravitational perturbations acting on Earth satellite orbits in an extensive grid, covering the whole circumterrestrial space, using an appropriately modified version of the SWIFT symplectic integrator, which is suitable for long-term ($～$120?years) integrations of the non-averaged equations of motion. Hence, we characterize the long-term dynamics and the phase-space structure of the Earth-orbiter environment, starting from low altitudes ($～$400?km) and going up to the GEO region and beyond. This investigation was done in the framework of the EC-funded “ReDSHIFT” project, with the purpose of enabling the definition of passive debris removal strategies, based on the use of physical mechanisms inherent in the complex dynamics of the problem (i.e., resonances). Accordingly, the complicated interactions among resonances, generated by different perturbing forces (i.e., lunisolar gravity, solar radiation pressure, tesseral harmonics in the geopotential) are accurately depicted in our results, where we can identify the regions of phase space where the motion is regular and long-term stable and regions for which eccentricity growth and even instability due to chaotic behavior can emerge. The results are presented in an “atlas” of dynamical stability maps for different orbital zones, with a particular focus on the (drag-free) range of semimajor axes, where the perturbing effects of the Earth’s oblateness and lunisolar gravity are of comparable order. In some regions, the overlapping of the predominant lunisolar secular and semi-secular resonances furnish a number of interesting disposal hatches at moderate to low eccentricity orbits. All computations were repeated for an increased area-to-mass ratio, simulating the case of a satellite equipped with an on-board, area-augmenting device. We find that this would generally promote the deorbiting process, particularly at the transition region between LEO and MEO. Although direct reentry from very low eccentricities is very unlikely in most cases of interest, we find that a modest “delta-v” ($\mathrm{\Delta }V$) budget would be enough for satellites to be steered into a relatively short-lived resonance and achieve reentry into the Earth’s atmosphere within reasonable timescales ($～$50?years).     

极区中层顶区域重力波谱的季节变化

使用MAP/WINE和MAC/SINE两次试验中测量的25m高分辨率水平速度数据和1km低分辨率温度数据,研究极区中层顶区域重力波谱的季节变化.温度的直接测量使计算的谱振幅和Richardson数更接近真实大气.结果显示,极区中层顶区域水平速度垂直波数谱的斜率和振幅存在相当大的变率,这些大的观测变率用各种饱和模式及普适垂直波数谱不能解释.然而平均垂直波数谱显示了明显的季节变化,在夏季,平均谱具有饱和特性;在冬季,平均谱具有非饱和特性.这意味着饱和过程存在于夏季而不是冬季.因此,夏季比冬季应有更强的湍流.这个结果与湍流季节变化的观测大致一致.从Brunt-Vaisala频率N和水平风切变计算的Richardson数Ri剖面也显示出季节差异,Ri<1/4的动力不稳定区出现在夏季,而Ri>0.4的稳定区出现在冬季.这些不稳定区与夏季谱结合很好,而稳定区则与冬季谱结合很好.