Four-body cislunar quasi-periodic orbits and their application to ballistic lunar transfer design

Examining the properties of quasi-periodic orbits provides insight into the Sun-perturbed environment in cislunar space. In this investigation, quasi-periodic trajectories and their properties are explored in the Sun-Earth-Moon four-body problem. Computation and the stability characteristics of families of invariant tori are detailed. Furthermore, this investigation offers a framework for construction of ballistic lunar transfer trajectories in the four-body problem. The framework leverages manifold trajectories to supply a set of initial conditions for construction of periapsis Poincaré maps. Periapsis maps reduce the dimensionality of the space and illuminate solutions of interest as a basis to produce feasible families of transfers. Through a continuation process, families of ballistic transfers and families of transfers that include powered lunar flybys are constructed. Ultimately, these solutions supply an initial guess for transition to the Sun-Earth-Moon ephemeris model.     

Beam resource scheduling for a VHF-MIMO radar network in low-angle tracking

The low-angle tracking in multipath interference is a challenging problem for the Very High Frequency (VHF) radar. The colocated Multi-Input Multi-Output (MIMO) technique can remedy such a defect. In this paper, a Joint Beam-Target Assignment and Power Allocation (JBTAPA) strategy is proposed for the VHF-MIMO radar network tracking low-angle targets. The core of the JBTAPA strategy is to improve the worst tracking accuracy among multiple targets by assigning appropriate beams to targets and allocating the power resource in each beam using the feedback information in the tracking cycle. Taking into account the transmit multipath and receive multipath, we derive the Cramér-Rao Lower Bound (CRLB) on angle estimate, which is then incorporated in the Predicted Conditional CRLB (PC-CRLB). A more accurate and consistent lower bound is provided as the optimization metric since the PC-CRLB is based on the most recently realized measurements. A two-stage-based technique is proposed to solve the JBTAPA problem, which is originally NP-hard. Simulation results verify the effectiveness and efficiency of the proposed method. The results also imply that the target reflectivity plays one of the important roles in resource allocation.     

一阶微分方程终值问题拟解的存在性

利用拟上下解方法,研究了一阶微分方程终值问题u′(t)=f()t,u(t),u(T)=xT拟解的存在性,并通过构造单调迭代序列得到该终值问题的最大最小拟解。     

基于贪婪算法的航空存储资源共享机制研究

航空存储网格存储服务是汇聚航空高性能计算中心、各个组织服务器以及单个PC机贡献的存储资源,按照一定规则为用户提供数据存储的注册、分配、调度、释放的共享资源的三级存储架构。在此条件下的资源共享问题属于NP完全问题。为此,我们提出启发式贪婪算法,并对系统性能进行仿真,得出用户请求与负载关系。     

基于线性位移模式的环形谐振子理论研究

环形谐振子理论是谐振陀螺研究领域的重要内容,然而在目前经典环形谐振子理论中,仍 存在很多问题尚未解决,例如:挠度控制方程不能精确求解环形结构的弯曲问题,获得的二阶弯曲 角频率及进动系数理论解不能充分反映出其随尺寸参数(如高度h、曲率半径r 等)变化的影响规 律等。为了克服上述不足,从环形结构理论的基本假设和基本条件出发,基于环形结构的线性位 移模式假设、虚功原理和哈密顿原理,建立新的环形谐振子理论,包括广义本构关系、平衡方程和 边界条件等,获得环形结构静态弯曲问题的解析求解方法和动态问题的理论解。最后,针对典型 的环形结构静、动态问题,通过与其他理论结果进行对比,验证了理论和求解方法的正确性。工作 表明,进动系数不是恒定的,其值会随着结构尺寸的不同在0.4附近很小范围内发生变化。     

非死锁合同网协议驱动的多机分布式时序任务分配

针对多无人机协同任务分配的时序约束问题，提出了基于非死锁合同网协议(DF CNP)的分布式时序任务分配方法，从理论上避免任务死锁，提升分配结果最优性。定义了局部信息条件下时序任务死锁判据，通过检测时序任务图环路状态与顶点可达性，判定分配方案的全局死锁状态，保证分配结果的可行性。定制了最近邻-深度优先混合搜索算法，在合同网排序过程中优先选择最近邻任务，并结合死锁判据递归回溯，在分布式架构下并行生成满足死锁约束的任务排序方案，提升分配结果的最优性。仿真对比结果表明：相比于非死锁遗传算法(TB GA)，DF CNP在求解效率方面具有显著优势；与耦合约束一致性束算法(CBBA TCC)相比，DF CNP结果最优性明显提升。