基于对偶四元数的捷联惯导算法在发射点惯性系下的应用研究

针对导弹类载体在做复杂的高动态机动时,采用传统的捷联惯导算法容易产生圆锥误差与划船误差,从而导致解算精度降低的问题,在发射点惯性系下设计了基于对偶四元数的捷联惯导算法.在建立发射点惯性系下的捷联惯导解算模型的基础上,详细推导了基于对偶四元数的捷联惯导解算算法,通过对比分析其中的速度更新过程与传统算法的差异,说明该算法可...     

Evolution of periodic orbits near the Lagrangian point L2

A study of the evolution of the periodic and the quasi-periodic orbits near the Lagrangian point L₂, which is located to the right of the smaller primary on the line joining the primaries and whose distance from the more massive primary is greater than the distance between the primaries, in the framework of restricted three-body problem for the Sun–Jupiter, Earth–Moon (relatively large mass ratio) and Saturn–Titan (relatively small mass ratio) systems is made. Two families of periodic orbits around the smaller primary are identified using the Poincaré surface of section method – family I (initially elliptical, gradually becomes egg-shaped with the increase in the Jacobi constant C and elongated towards the more massive primary) and family II (initially egg-shaped orbits elongated towards L₂ and gradually becomes elliptical with the increase in C). The family I in the Sun–Jupiter and Saturn–Titan systems contains two separatrix caused by third-order and fourth-order resonances, while the Earth–Moon system has only one separatrix which is caused by third-order resonances. Also in the Sun–Jupiter and the Saturn–Titan systems, family I merge with family II, around Jacobian constant 3.0393 and 3.0163, respectively, while in the Earth–Moon system, family II evolves separately from two different branches. The two branches merge at C = 3.184515. In the Earth–Moon system, the family II contains a separatrix due to third-order resonances which is absent in the other two systems.     

微分对策理论及其研究现状分析

本文阐述了微分对策在经济和军事领域中的研究和应用,详尽地叙述了微分对策的分类,并采用定量和定性方法对微分对策进行了分析,指出了微分对策的研究难点,对发展趋势作了较为详细的探讨。     

Hilbert空间中严格伪压缩映像的强收敛定理

给出了一种求解严格伪压缩非自身映像不动点集上变分不等式的迭代算法，并证明了其强收敛性。此结果推广了姚永红和T．H．Kim等的研究结果。最后，进一步将结论推广到求解有限个严格伪压缩非自身映像公共不动点集上的变分不等式。     

终端区点融合进近程序设计方法研究

流量的增长导致终端区拥挤和航班延误,增大了管制压力和公司成本.以长沙黄花国际机场36号跑道为例,空城受限,4条航线汇聚一点,梯度曲折多变,航班排序难,指挥复杂度高.结合我国飞行程序设计和管制间隔要求,根据点融合的基本概念,设计跑道点融合进近程序,确定相关参数.对程序进行容量和下降梯度评估表明,静态容量可达到63架次/h,是当前运行最大流量的3.7倍;下降梯度得到明显改善,为连续下降实施奠定了基础.     

A non-local vectorial total variational model for multichannel SAR image speckle suppression

This paper aims at the multichannel synthetic aperture radar(SAR)image speckle reduction.This paper proposes a novel energy minimized regularization model for multichannel image denoising,which is an extension of the non-local total variational model for gray-scale image.It contains two terms,namely the vectorial data fidelity term and the non-local vectorial total variation term.The latter is constructed by high-dimensional non-local gradient that contains the structure information of the multichannel image.The existence and the uniqueness of the solution of the model are proved.A fixed point iterative algorithm is designed to acquire the solution of this model.The convergence property of this algorithm is proved as well.This model is applied to the multipolarimetric and multi-temporal RADARSAT-2 images despeckling.The result shows that this model performs better than the original vectorial total variational model on texture preserving.     

Sliding mode control based guidance law with impact angle constraint

The terminal guidance problem for an unpowered lifting reentry vehicle against a sta- tionary target is considered. In addition to attacking the target with high accuracy, the vehicle is also expected to achieve a desired impact angle. In this paper, a sliding mode control （SMC）-based guidance law is developed to satisfy the terminal angle constraint. Firstly, a specific sliding mode function is designed, and the terminal requirements can be achieved by enforcing both the sliding mode function and its derivative to zero at the end of the flight. Then, a backstepping approach is used to ensure the finite-time reaching phase of the sliding mode and the analytic expression of the control effort can be obtained. The trajectories generated by this method only depend on the initial and terminal conditions of the terminal phase and the instantaneous states of the vehicle. In order to test the performance of the proposed guidance law in practical application, numerical simulations are carried out by taking all the aerodynamic parameters into consideration. The effec- tiveness of the proposed guidance law is verified by the simulation results in various scenarios.     

三维激光成像系统的点云模型真彩色处理方法

三维激光成像系统获得的点云数据精度高并且保有高精度的高程信息,然而特征信息不明显,没有保留全部的点和点的拓扑关系,无法直接判读地面物体;影像数据空间分辨率和精度低,并且缺少高程信息,然而其影像的特征连续,光谱信息丰富.因此,进行点云数据与影像数据融合方法的研究是目前三维激光成像系统研制的前沿性课题.针对点云数据与影像数据融合方法的研究,提出了一种三维激光成像系统点云模型真彩色处理的方法.实验结果显示,采用所提出的方法,不仅能够获得被扫描物体的位置信息和大小信息,而且能够得到被扫描物体的表面纹理细节信息.