Aircraft routing under the risk of detection

The deterministic problem for finding an aircraft's optimal risk trajectory in a threat environment has been formulated. The threat is associated with the risk of aircraft detection by radars or similar sensors. The model considers an aircraft's trajectory in three‐dimensional (3‐D) space and represents the aircraft by a symmetrical ellipsoid with the axis of symmetry directing the trajectory. Analytical and discrete optimization approaches for routing an aircraft with variable radar cross‐section (RCS) subject to a constraint on the trajectory length have been developed. Through techniques of Calculus of Variations, the analytical approach reduces the original risk optimization problem to a vectorial nonlinear differential equation. In the case of a single detecting installation, a solution to this equation is expressed by a quadrature. A network optimization approach reduces the original problem to the Constrained Shortest Path Problem (CSPP) for a 3‐D network. The CSPP has been solved for various ellipsoid shapes and different length constraints in cases with several radars. The impact of ellipsoid shape on the geometry of an optimal trajectory as well as the impact of variable RCS on the performance of a network optimization algorithm have been analyzed and illustrated by several numerical examples. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

飞船再入制导最佳反馈增益系数规律

为了获取基于标准轨道返回舱再入纵向制导的最佳反馈增益系数 ,建立了纵平面运动方程 ,推导了对应于纵向制导规律的摄动微分方程。根据Pontryagin极小值原理 ,给出了最优反馈控制律 ,求解Riccati方程 ,即可得到最佳反馈增益系数。考虑到实现的可行性 ,将时变的增益系数逼近成常数或分段常数 ,得到次优反馈增益系数 ,取得了满意的制导效果。     

三组元液体火箭发动机实现单级入轨的优化分析

建立了三组元液体火箭发动机性能计算模型、单级入轨可重复使用运载器质量模型和弹道模型,以起飞质量为目标函数,优化得到了实现单级入轨的发动机基本参数。结果显示:三组元发动机性能比氢氧发动机高10%。本研究是三组元发动机系统设计和分析的基础。     

Bayesian inference based on partial monitoring of components with applications to preventive system maintenance

Consider a binary, monotone system of n components. The assessment of the parameter vector, θ, of the joint distribution of the lifetimes of the components and hence of the reliability of the system is often difficult due to scarcity of data. It is therefore important to make use of all information in an efficient way. For instance, prior knowledge is often of importance and can indeed conveniently be incorporated by the Bayesian approach. It may also be important to continuously extract information from a system currently in operation. This may be useful both for decisions concerning the system in operation as well as for decisions improving the components or changing the design of similar new systems. As in Meilijson [12], life‐monitoring of some components and conditional life‐monitoring of some others is considered. In addition to data arising from this monitoring scheme, so‐called autopsy data are observed, if not censored. The probabilistic structure underlying this kind of data is described, and basic likelihood formulae are arrived at. A thorough discussion of an important aspect of this probabilistic structure, the inspection strategy, is given. Based on a version of this strategy a procedure for preventive system maintenance is developed and a detailed application to a network system presented. All the way a Bayesian approach to estimation of θ is applied. For the special case where components are conditionally independent given θ with exponentially distributed lifetimes it is shown that the weighted sum of products of generalized gamma distributions, as introduced in Gåsemyr and Natvig [7], is the conjugate prior for θ. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 551–577, 2001.     

一种双参数批更换系统的优化问题

研究了一种在更换时间有限的情况下 ,基于交替更新过程的双参数批更换系统的优化问题 ,这一问题的目标是平均费用率的极小化。给出了一种特殊情况的讨论结果。     

改进分块局部最佳维纳滤波算法的干涉相位滤波

针对合成孔径雷达干涉相位滤波问题,提出了一种改进的分块局部最佳维纳滤波算法。该算法是加性高斯白噪声下的线性最小均方误差估计,利用目前图像滤波最前沿的技术——非局部技术,来联合估计图像的一、二阶矩。针对干涉相位中噪声的空变性,在应用中提出了两点改进:估计噪声的标准差时,用均值代替中值;根据噪声标准差的最大值和均值的比值,自适应地确定类的数量。仿真和实测数据表明,改进后的分块局部最佳维纳滤波算法是有效的,并优于其他三种算法。     

高超声速滑翔飞行器滑翔段初始状态的唯一性和最优性分析

临近空间高超声速滑翔飞行器的弹道特性主要受滑翔段初始状态和飞行器控制律影响。在飞行器控制律确定的情况下,研究了滑翔段初始状态对高超声速滑翔飞行器弹道特性的影响规律。按照滑翔弹道的不同形式,在纵向平衡滑翔条件下,通过理论推导得出飞行器状态变量的解析式,结合平衡滑翔条件分析平衡滑翔弹道滑翔段初始状态的唯一性;在纵向跳跃滑翔条件下,构建弹道性能评价指标,利用群智能算法,寻找弹道性能最优时的滑翔段初始状态。利用单因素敏感性分析方法,分别对两种滑翔弹道的滑翔段初始状态进行敏感性分析,初始状态中初始速度对弹道特性的影响最大。对高超声速滑翔飞行器初始状态唯一性与最优性的分析,可为高超声速滑翔飞行器的弹道设计、弹道跟踪、轨迹预测和轨迹优化提供借鉴。     

基于经济绩效的国防工业市场最优集中度研究

以满足企业利润最大化和社会福利最大化双重效率标准的思想为基础,通过拟合我国国防支出需求函数和国防工业企业的成本函数,对我国国防工业市场最优集中度进行了理论研究,得出最优企业数量的一般表达式,并以我国航空工业上市公司为例,对其市场集中度展开了系统性估算。研究结果表明,我国国防工业产业的最优企业数量可以根据相关数据与拟合出的参数得到一个明确的数值,并且我国国防工业产业的最优市场集中度表现为适度集中,而在特殊情况下表现为完全集中。我国航空工业上市公司的最优企业数量为14家时,能够满足企业利润最大化与市场出清的双重标准,市场集中度达到最优。     

运动视觉平台点目标定位误差分析和平台最优运动轨迹设计

对运动视觉平台点目标定位问题进行了研究,介绍了基于视觉共线方程的目标定位方法,分析了共线方程关于视线约束的实质。在观测视线相关坐标系推导了视线方向角矢量对目标定位误差的影响规律,分析了多观测对定位误差的影响,并基于最小化目标定位误差推导了视觉平台的最优运动轨迹,利用简单明了的分析方法得到了与已有文献优化Fisher信息矩阵方法一致的结论。利用仿真和试验对定位误差和最优轨迹进行了验证,证实了定位误差理论分析和最优运动轨迹设计的正确性。     

水面舰艇规避鱼雷最优策略

规避机动是水面舰艇对鱼雷防御的基础和前提,通过对水面舰艇规避鱼雷过程的分析,建立了水面舰艇规避鱼雷的战术基础模型,并采用变分法进行解算,从所有可能的规避轨线中选取最优的规避轨线.水面舰艇规避鱼雷的战术基础模型,为水面舰艇防御鱼雷作战方案的仿真论证、防御鱼雷最优规避轨线的方案生成提供依据.对研究水面舰艇规避鱼雷战术具有一定的参考价值.