Robust model predictive control for satellite formation keeping with eccentricity/inclination vector separation

This study presents model predictive formation control based on an eccentricity/inclination vector separation strategy. Alternative collision avoidance can be accomplished by using eccentricity/inclination vectors and adding a simple goal function term for optimization process. Real-time control is also achievable with model predictive controller based on convex formulation. Constraint-tightening approach is address as well improve robustness of the controller, and simulation results are presented to verify performance enhancement for the proposed approach.     

Spacecraft formation flying control around L2 sun-earth libration point using on–off SDRE approach

In this paper, on–off SDRE control approach is presented for spacecraft formation flying control around sun-earth L2 libration point. Orbits around libration points are significant targets for many space missions mainly because of efficient fuel consumption. Furthermore, less propellant usage can be achieved by considering optimal control approaches in spacecraft formation flying control design. Among various nonlinear and optimal control methods, SDRE has shown to be a popular controller in various missions due to the privileges including efficiency, accuracy and robustness. The spacecraft are assumed to have on–off thrusters as actuators. It requires them to be fed with a sequence of on–off pulses which is regarded as a challenge for spacecraft designers. Hence, the main contribution of this paper is designing an on–off SDRE approach for the formation flight around sun-earth L2 point with uncertainty with energy and accuracy considerations. Including on–off input as a constraint is not feasible for SDRE implementation because it makes the system non-affine. An alternative is utilizing an integral action technique and an auxiliary control to make the system affine which leads to on–off SDRE approach. It has also been shown that the proposed method is robust against parametric uncertainties of the states. Present study aims to design an energy-beneficial, simple and attractive controller for a complex nonlinear system with on–off inputs and uncertainty in CRTBP. Simulation results show that the on–off SDRE control could provide the formation flight around L2 point with high accuracy using less energy consumption.     

冷轧无间隙原子钢中的微带生成机理

分析了冷轧体心立方金属中微带的形成原因.基于塑性变形理论,运用Taylor模型和Bishop＆Hill最大功原理,计算了变形体心立方晶体中滑移系上的切应变分布.计算结果表明,冷轧时当晶粒的轧向平行于晶粒的某些特定取向时,大量的局部切应变将集中产生在一个滑移面上并在此形成微带.这一高度局域性的切应变是形成剪切带的原因.此时,剪切带与轧制方向之间夹角为30°.另外,微带呈片状是双交滑移的结果,透射电子显微镜观察到的剪切带所在晶粒的取向和所在滑移面证实了这一微带的形成机制.     

基于自由权矩阵的时变时延线性群系统编队控制

研究了基于自由权矩阵方法的时变时延线性群系统编队控制问题。首先,基于一致性理论,设计了具有时变时延的线性群系统编队控制协议。其次,通过变量代换,将时延条件下的线性群系统编队控制问题转化为时延系统的镇定问题。构造Lyapunov-Krasovskii函数,并利用自由权矩阵方法对时延系统的镇定问题进行分析,得到了保守性较小的线性矩阵不等式（LMI）判据,并求解出时延上界和编队控制器增益。最后,通过仿真实验,验证了方法的有效性。     

近地卫星严格回归轨道保持控制

研究了近地卫星基于严格回归参考轨道的轨道保持控制方法：将卫星编队理论引入单星绝对轨道保持控制,提出了"虚拟卫星编队"的概念,分析了卫星轨道相对于参考空间轨迹在轨道摄动情况下的偏离状态及变化趋势,然后根据卫星编队相对运动学,推导出了偏离状态与虚拟卫星编队构形参数之间的对应关系,并设计了以轨道参数超调、偏置及阈值触发为特征的管道保持控制策略。数值仿真结果表明,使用该控制策略能够将卫星轨道保持在以空间参考轨迹为中心的轨道管道内,并且有效减少了因周期性轨道摄动波动造成的管道保持控制量和控制频次。研究成果对于有空间轨迹回归要求的卫星轨道保持控制具有指导意义。     

Accelerating NLTE radiative transfer by means of the Forth-and-Back Implicit Lambda Iteration: A two-level atom line formation in 2D Cartesian coordinates

State-of-the-art methods in multidimensional NLTE radiative transfer are based on the use of local approximate lambda operator within either Jacobi or Gauss–Seidel iterative schemes. Here we propose another approach to the solution of 2D NLTE RT problems, Forth-and-Back Implicit Lambda Iteration (FBILI), developed earlier for 1D geometry. In order to present the method and examine its convergence properties we use the well-known instance of the two-level atom line formation with complete frequency redistribution. In the formal solution of the RT equation we employ short characteristics with two-point algorithm. Using an implicit representation of the source function in the computation of the specific intensities, we compute and store the coefficients of the linear relations J=a+bS$J=a+\mathit{bS}$ between the mean intensity J and the corresponding source function S. The use of iteration factors in the ‘local’ coefficients of these implicit relations in two ‘inward’ sweeps of 2D grid, along with the update of the source function in other two ‘outward’ sweeps leads to four times faster solution than the Jacobi’s one. Moreover, the update made in all four consecutive sweeps of the grid leads to an acceleration by a factor of 6–7 compared to the Jacobi iterative scheme.     

一种绕飞编队卫星星间链路系统的总体设计方法

为了建立高精度相对定位编队卫星的星间链路,提出了一种基于GPS的绕飞编队卫星星间链路系统设计方法。针对我国首次以InSAR为背景的任务,以某绕飞编队星座星间链路系统总体方案为例,利用STK/MATLAB分析软件,对天线覆盖区与组阵进行了仿真分析,并根据分析结果做了系统优化,包括星间轨道构型、天线设计组阵图、天线安装位置、链路预算、星间通信措施设计分析以及电磁兼容性分析等。结果表明:基于GPS的编队卫星能够从系统角度优化设计建立星间链路,从而完成编队跟飞、绕飞期间的星间通信与测量任务,为卫星建立星座构型、相对定位测量提供了可靠、稳定的传输通道。该设计方法可为同类卫星或其他类型卫星星间链路系统设计提供参考。     

基于Tersoff-Brenner势的航天器群图形编队研究

从分子动力学模拟角度提出了一种分布式航天器群导航控制方法,可使行星中心开普勒轨道上的航天器群在有限的感知信息条件下自发实现图形编队.该法基于人工势场技术,主要分为两个部分：改造自C-W方程的外围全局汇聚势场和基于Tersoff-Brenner势的局部塑形势场.前者将各航天器导引至预设汇聚点附近,后者进一步使各航天器自我调整彼此相对位置,最终编成期望构型.此外,引入一速度依赖型耗散项以确保任意初始分布条件下图形编队均收敛.通过地球同步轨道上航天器群正四面体构型（含中心,即金刚石结构单元）编队仿真,验证了所提方法的有效性和优越性.将编队脚本简单修改,该法还可方便用于其它类碳元素同素异形体构型的塑造,如石墨晶体结构单元正六边形等.     

基于编队形状的反舰导弹预定目标选择模型特点

相比传统的预定目标选择方法,基于编队形状的反舰导弹预定目标选择方法是一类新方法。为了便于进一步研究具体算法,需要研究基于编队形状的反舰导弹预定目标选择模型的特点。该类方法的实质是将目标选择问题转化为点集匹配问题,因而文章从点集的信息来源、点集之间的变换关系、点集之间的映射关系、点集之间的距离函数等方面分析了模型特点,并根据这些特点将基于编队形状的反舰导弹预定目标选择算法分为2类：即基于迭代收敛的预定目标选择算法和基于变换位置集合的预定目标选择算法。     

利用人工势函数法的卫星电磁编队控制

卫星电磁编队是指利用卫星之间相互作用的电磁力进行卫星相对运动控制,对控制律的要求主要是计算量小和能避免碰撞.以目标星对参考星的相对运动矢量作为控制对象,分析了使用电磁力控制卫星编队的可行性,结果是如果编队卫星磁矩能够任意控制,那么卫星相对运动也能完全控制.设计了人工势函数,以相对位置和相对速度矢量作为变量,人工势函数在达到控制目标时为最小值,在碰撞的位置具有局部最大值.设计的控制律能够实时调整控制参数,能够保证电磁线圈控制电流不至于饱和,以及人工势函数导数在控制过程中小于零.仿真表明,所设计的控制律能生成编队构型并避免碰撞,而且具有一定的抗干扰性.