基于旋量方法的高超声速飞行器三维非线性伪最优制导律设计

针对高超声速飞行器制导过程中的通道耦合问题,设计一种基于旋量方法的三维非线性伪最优制导律。引入角度矢量、视线旋量、视线旋量速度等概念,通过等价性证明,得出视线旋量、视线旋量速度控制分别与视线方位、视线角速度控制具有一致性的结论,从而将制导问题转化为视线旋量和旋量速度的控制问题;基于旋量方法构建弹目视线旋量、视线旋量速度模型,构建得到飞行器制导的三维非线性模型;为避免直接求解Riccati微分方程过程的复杂性,引入伪控制变量,将三维非线性制导模型转化为线性制导模型;分别针对无终端约束和有终端约束情况,基于二次型最优方法得到三维非线性伪最优制导律。该制导律避免了通道解耦,其制导参数又满足一定物理意义下的最优性。仿真结果验证了所设计制导律的有效性。     

考虑弹体动态特性的机动效率约束导引律

针对考虑交会角和过载约束导引律在大机动时能量损失大的问题,提出一种考虑导弹机动效率的多约束制导律。应用最优二次型原理推导出考虑一阶弹体延迟的时变导引系数闭环次优制导形式,将导弹机动时刻阻力系数引入时变权系数,并通过迭代确定机动效率约束边界。将时变约束表示成剩余时间与弹体延迟时间的函数,代入制导指令,进行弹道仿真。结果表明,对于常值与机动目标,文中制导律与过载约束导引律同只考虑交会角约束的导引律相比,对目标均能实现末端弹道成型要求,而考虑机动效率的制导指令分配更为合理,在避免指令加速度饱和的同时有效降低了拦截末端速度损耗,提高制导精度与毁伤效果。且该制导律中时变权系数无须配平求解,在保证精度的同时极大地提高了迭代速度。     

基于双向启发式属性约简的战术决策建模研究

从预警机指挥引导的多机协同空战原则分析出发,针对超视距协同空战决策过程中的不确定性和不完备性问题,提出了一种不完备信息系统中的基于双向启发式属性约简的战术粗决策建模方法。首先考虑粗糙集决策过程中条件属性发生缺失或不确定的情况,根据扩展不完备信息概念建立了不完备决策信息系统的最优完备选择;其次基于分辨矩阵的属性约简算法,以属性频度的大小作为启发信息进行决策信息系统约简的双向选择,得出决策信息系统的最佳约简集合;然后依据使决策最有可能发生的原则,给出决策信息系统的最优选择,以该最优选择为代表提取出决策规则;最后根据软、硬杀伤结合使用的CGF实体超视距协同空战作战想定,建立了CGF实体综合战术决策模型,并通过作战决策实例对该方法的正确性和有效性进行了验证。结果表明：该方法能在作战态势信息不完备的情况下正确给出CGF实体综合战术行为。     

DoDAF视图下的反导作战军事概念建模与仿真系统设计

反导作战概念模型是保证不同地空导弹武器系统之间指控系统可集成、可互操作性、高效一体化的关键。首先,针对传统建模语言在模型可执行验证方面的不足,在DoDAF视图框架下,提出一种基于统一建模语言（UML）的反导作战军事概念建模方法;其次,结合军事概念模型给出反导作战仿真系统设计的方法。规范建模框架并选择可执行性强的UML语言建立军事概念模型,对反导作战研究及指控系统开发具有一定参考价值。     

航天测控通信系统可靠性分析的Krylov子空间投影算法

基于Markov模型对航天测控通信系统进行可靠性分析的过程中,若系统中测控通信设备数量较多,模型中的状态空间随设备数量呈指数增长,将会导致数值计算困难.提出了一种基于Krylov子空间技术的可靠性分析方法,将大规模问题投影至小规模子空间中,求得问题的近似解.实验结果证明,Krylov子空间方法的计算速度及精度优于Ross方法和前向Euler法(forward Euler method,FEM).     

The effects of model parameter deviations on the variance of a linearly filtered time series

We consider a general linear filtering operation on an autoregressive moving average (ARMA) time series. The variance of the filter output, which is an important quantity in many applications, is not known with certainty because it depends on the true ARMA parameters. We derive an expression for the sensitivity (i.e., the partial derivative) of the output variance with respect to deviations in the model parameters. The results provide insight into the robustness of many common statistical methods that are based on linear filtering and also yield approximate confidence intervals for the output variance. We discuss applications to time series forecasting, statistical process control, and automatic feedback control of industrial processes. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

The building evacuation problem with shared information

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

建模仿真主计划及其关键技术

综述了建模仿真主计划 (MSMP)的目的和内容 ,着重阐述该计划中的公共技术框架 ,分析该计划对军事领域内建模仿真活动的影响 ,并对其中某些关键技术问题提出了解决思路或方法     

搞好数学建模 促进数学教学

分析我校数学建模工作中的成功经验 ,找出不足 ,探索新路 ,使我校数学教学工作更上一层楼。     

Generating Pareto‐optimal boundary points in multiparty negotiations using constraint proposal method

In this paper a constraint proposal method is developed for computing Pareto‐optimal solutions in multiparty negotiations over continuous issues. Constraint proposal methods have been previously studied in a case where the decision set is unconstrained. Here we extend the method to situations with a constrained decision set. In the method the computation of the Pareto‐optimal solutions is decentralized so that the DMs do not have to know each others' value functions. During the procedure they have to indicate their optimal solutions on different sets of linear constraints. When the optimal solutions coincide, the common optimum is a candidate for a Pareto‐optimal point. The constraint proposal method can be used to generate either one Pareto‐optimal solution dominating the status quo solution or several Pareto‐optimal solutions. In latter case a distributive negotiation among the efficient points can be carried out afterwards. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 210–225, 2001