基于李亚普诺夫最优反馈控制的中制导

基于李亚普诺夫最优反馈控制的2种实现方法,即时间最速下降法与空间最速下降法,提出了一种混合策略。应用于导弹中制导,获得了满意的结果,可以极大地缩短中制导飞行时间并大幅度地提高中制导末端速度。仿真结果表明,该方法有一定的工程应用参考价值。     

一种基于组合降维的图像识别方法

为克服图像识别中传统方法需要进行高维矩阵奇异值分解的困难,提出了先局部降维再总体降维的组合变换方法.ORL人脸图像数据库的实验表明,这一方法不仅减少了运算量,而且能较好地解决人脸这样一类复杂的图像识别问题;总体来说优于传统的基于KL变换的识别方法.     

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     

Capacity allocation with traditional and Internet channels

In this paper we study a capacity allocation problem for two firms, each of which has a local store and an online store. Customers may shift among the stores upon encountering a stockout. One question facing each firm is how to allocate its finite capacity (i.e., inventory) between its local and online stores. One firm's allocation affects the decision of the rival, thereby creating a strategic interaction. We consider two scenarios of a single‐product single‐period model and derive corresponding existence and stability conditions for a Nash equilibrium. We then conduct sensitivity analysis of the equilibrium solution with respect to price and cost parameters. We also prove the existence of a Nash equilibrium for a generalized model in which each firm has multiple local stores and a single online store. Finally, we extend the results to a multi‐period model in which each firm decides its total capacity and allocates this capacity between its local and online stores. A myopic solution is derived and shown to be a Nash equilibrium solution of a corresponding “sequential game.” © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Minimizing the makespan in open‐shop scheduling problems with a convex resource consumption function

We consider open‐shop scheduling problems where operation‐processing times are a convex decreasing function of a common limited nonrenewable resource. The scheduler's objective is to determine the optimal job sequence on each machine and the optimal resource allocation for each operation in order to minimize the makespan. We prove that this problem is NP‐hard, but for the special case of the two‐machine problem we provide an efficient optimization algorithm. We also provide a fully polynomial approximation scheme for solving the preemptive case. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

不可预见作战下排弹抢修力量编配分析

在资源有限的情况下,综合考虑某一区域不同机场之间的相互关系,从整体的角度合理分配排弹抢修资源,可以大幅提升区域内军队机场阵地的战场排弹抢修能力。本文通过建立数学模型,从整体的角度出发,分析区域内各机场的排弹抢修资源分配问题：首先,针对不可预见作战带来的新挑战,提出了新的机场排弹抢修作业流程,引出排弹抢修力量分配所面临的几个现实问题;其次,为解决提出的问题,建立计算排弹抢修时间的数学模型;最后,利用建立的模型依次对上述问题进行分析,并给出排弹抢修资源编配与力量建设的建议。本研究认为,军事机场排弹抢修力量应根据机场特点,合理分配排弹抢修资源;要以机场排弹抢修力量为主导,以外部支援力量为辅助,提升机场自身排弹抢修能力;可通过建设排弹抢修物资仓库和设置排弹抢修支援小组,提升多机场联动的排弹抢修能力。     

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。     

并行面向对象数据库中的数据放置

针对并行面向对象数据库的特点,结合异步并行查询执行策略,提出了一种基于对象类的混合式数据放置策略,它包括两个部分:混合式数据划分策略和基于对象类的数据分配策略     

伺服机构故障下基于线性规划的运载火箭姿控系统重构控制

发动机伺服机构故障给新一代运载火箭姿控系统的可靠性和安全性带来挑战,亟须开展重构控制策略研究。针对这一问题,提出一种基于线性规划的摆角重构控制分配方法。将伺服机构故障下的摆角分配问题转化为1范数单目标有约束优化问题,进而转化为标准的线性规划模型,采用单纯形法进行求解。仿真结果表明,所提出的线性规划法能够实现伺服机构故障下姿控系统的完全重构,各摆角均未达到饱和值,表明了方法的有效性。