多操纵面飞机稳定非线性控制分配

针对多操纵面飞机具有冗余操纵面的特点,考虑操纵面的位置约束,对多操纵面飞机设计一个由上层控制律和动态控制分配律组成的非线性控制器,应用李雅普诺夫稳定性理论和LaSalle不变集定理分别证明了上层控制子系统、动态控制分配子系统和整个闭环系统的渐近稳定性。对某多操纵面飞机的仿真结果验证了方法的有效性。     

无人机栖落机动的一种离线鲁棒预测控制算法

针对固定翼无人机栖落机动过程的纵向运动,研究了一种在线计算量小的栖落机动鲁棒预测控制方法。首先将飞行器栖落机动动力学模型沿参考轨迹建立分段线性切换系统模型。考虑外部风扰动,进一步建立张量积模型。然后,利用渐近稳定的椭圆不变集的概念,采用"离线设计、在线综合"的方法设计了在线计算量较小的栖落轨迹跟踪控制律;结合鲁棒预测控制和切换系统全局稳定分析方法分析了系统稳定性。最后,对外部风扰动下的固定翼无人机栖落机动过程进行了仿真。仿真结果表明所设计的跟踪控制器在线计算量小并具有良好的控制效果。     

一类混合动态系统的稳定性

混合动态系统是一类同时含有连续时间变量和离散事件变量的系统，在这类系统中，两类变量耦合在一起，具有复杂的动力学特性和时钟关系。本文在一般度量空间上刻画了混合动态系统，并给出了混合动态系统在Ｌｙａｐｕｎｏｖ意义下稳定和渐近稳定的定义及其充分必要条件，同时研究了一类混合动态系统稳定与其连续和离散事件子系统的稳定性之间的关系。     

Online feedback motion planning for spacecraft obstacle avoidance using positively invariant sets

This paper investigates a novel reliable feedback motion planning algorithm for steering a spacecraft to the desired position while satisfying dynamics and environmental constraints, such as actuator constraints, unexpected state constraints, bounded disturbances, etc. The proposed algorithm, termed safeRRT1, applies positively invariant (PI) set transitions to an online sampling approach based on the asymptotically optimal rapidly-exploring random tree (RRT1). A time-varying safe corridor is generated which consists of a sequence of PI sets under the instantaneous constraints. A spacecraft is guaranteed to remain within the corridor when the feedback controllers corresponding to the PI set transitions are executed. Simulations of the spacecraft avoiding obstacles validate the feasibility and effectiveness of the proposed safeRRT1 algorithm.     

地月系低能转移轨道设计

分析了不同转移轨道间的性能指标,以黄道面与白道面交线作为庞加莱截面实现不同系统轨道的拼接,利用其中耗能最小的日地系稳定流形和地月系的不稳定流形设计了一条低能耗转移轨道.最后对不同轨 道进行了能量分析和对比,优化了国内提出的低能探月轨道.仿真结果表明,文中方法比直接通过霍曼转移节约21.1%的能量,对探月工程的轨道设计具...     

不完全市场理论中的Grassmann流形

给出不完全市场一般均衡理论分析中最重要的数学对象Grassmann流形有关知识的详细论述。     

Low-energy Earth–Moon transfers involving manifolds through isomorphic mapping

Analysis and design of low-energy transfers to the Moon has been a subject of great interest for decades. Exterior and interior transfers, based on the transit through the regions where the collinear libration points are located, have been studied for a long time and some space missions have already taken advantage of the results of these studies. This paper is concerned with a geometrical approach for low-energy Earth-to-Moon mission analysis, based on isomorphic mapping. The isomorphic mapping of trajectories allows a visual, intuitive representation of periodic orbits and of the related invariant manifolds, which correspond to tubes that emanate from the curve associated with the periodic orbit. Two types of Earth-to-Moon missions are considered. The first mission is composed of the following arcs: (i) transfer trajectory from a circular low Earth orbit to the stable invariant manifold associated with the Lyapunov orbit at L₁ (corresponding to a specified energy level) and (ii) transfer trajectory along the unstable manifold associated with the Lyapunov orbit at L₁, with final injection in a periodic orbit around the Moon. The second mission is composed of the following arcs: (i) transfer trajectory from a circular low Earth orbit to the stable invariant manifold associated with the Lyapunov orbit at L₁ (corresponding to a specified energy level) and (ii) transfer trajectory along the unstable manifold associated with the Lyapunov orbit at L₁, with final injection in a capture (non-periodic) orbit around the Moon. In both cases three velocity impulses are needed to perform the transfer: the first at an unknown initial point along the low Earth orbit, the second at injection on the stable manifold, the third at injection in the final (periodic or capture) orbit. The final goal is in finding the optimization parameters, which are represented by the locations, directions, and magnitudes of the velocity impulses such that the overall delta-v of the transfer is minimized. This work proves how isomorphic mapping (in two distinct forms) can be profitably employed to optimize such transfers, by determining in a geometrical fashion the desired optimization parameters that minimize the delta-v budget required to perform the transfer.     

飞行器壁板颤振的无限维非线性分析

 一、无限维Hopf分叉定理和中心不变流形定理 由于偏微分方程的矢量场（在任一适当的Banach空间中）常常不是光滑函数,Marsden-McCracken利用（相）流的光滑性提出了流的Hopf分叉定理和中心流形定理。这里的流都是半（相）流,也就是半群。     

行星际高速公路技术

介绍了行星际高速公路技术的研究背景，有条件地分析了行星际高速公路技术的限制性三体问题、混沌动力学问题和行星际高速公路的描述与计算问题，最后探讨了行星际高速公路在低能量星际转移轨道设计中的应用和在未来星际城市开发中的潜在价值。     

不锈钢弯管上用预制椭圆孔翻边成形圆孔

通过对液体火箭发动机所用不锈钢弯管上椭圆预制孔翻边成形圆孔的分析、计算及试验，确定了合理的椭圆孔长轴和短轴尺寸计算公式，给出了翻边力的计算公式．翻边凸模为球形。考虑到回弹的影响，实际长、短轴尺寸要比根据公式计算出的值小一些，球形凸模的直径要比翻边直径大一些。