考虑弹体动态特性的非奇异有限时间制导律

为满足导弹拦截机动目标时交会角约束和有限时间收敛的需求,建立了考虑弹体一阶动态特性的制导模型。把目标加速度视为有界外界干扰,同时结合非线性反步设计法中的动态面法,设计一种考虑弹体动态延迟的非奇异滑模制导律,并且证明了基于Lyapunov稳定性理论制导系统状态可渐进收敛到零。在所设计的制导律下,对单侧机动的低空高速目标进行仿真。仿真结果表明所设计的非奇异制导律可以有效降低弹体动态延迟带来的影响,而且具有较低的脱靶量与交会角误差;与考虑弹体动态特性和交会角约束的最优导引律相比,其具有更高的制导精度。     

基于实际飞行数据插值的INS/GNSS组合导航仿真轨迹发生器

针对INS/GNSS组合导航仿真中,捷联惯导系统陀螺、加速度计信号高精度模拟问题,提出了基于实际飞行数据插值的动态轨迹解析生成仿真算法。对转换到地心惯性坐标系中的载体姿态、位置和重力场数据进行关于时间的样条函数插值,得到载体坐标系下陀螺角速率、角增量以及加速度计比力积分增量的高精度分段解析表达式。使生成的陀螺、加速度计信号符合载体运动学和动力学特性,反映杆臂效应影响,同时与经事后处理的实测GNSS伪距、伪距率等数据特征保持一致。提出了四元数约束插值算法,可满足四元数解析插值时范数为1的约束限制条件。基于某实际无人机飞行数据,验证了所提出算法的有效性,完全满足组合导航动态仿真精度要求。该算法也适用于其他高精度高动态导航系统和刚体运动控制仿真中的角运动、线运动传感器信号模拟。     

采用扩展有限元法的线式爆炸分离装置裂纹扩展分析

为了提高线式爆炸分离装置的安全性,本研究基于扩展有限元法,通过创建二维和三维动态裂纹扩展模型,探索了线式爆炸分离装置在爆轰波作用过程中的动态裂纹扩展和止裂机理。研究表明,分离壳体的裂纹扩展路径独立于裂纹初始角度;不考虑载荷时序时,二维和三维动态裂纹扩展的主方向分别沿着分离壳体的径向和环向;考虑载荷时序时,受不同区域应力波的联合作用,三维裂纹沿环向扩展的同时会沿着轴向扩展,但裂纹的扩展均不会影响到止裂槽以外的结构。所提方法和相应结论可为线式爆炸分离装置设计提供参考。     

高重频双波长复合干扰激光器设计

为解决基频光高重频与倍频光高平均功率之间的矛盾,设计了一台干扰用高重频双波长复合输出激光器。静态仿真了泵浦源效率、激光晶体受热和受力分布、激光高斯模式特征,得到了该激光器的复合输出特性。动态仿真调Q频率、倍频晶体长度对复合输出的影响以及分析倍频晶体热效应,发现在泵浦功率和谐振腔结构不变的前提下,需先满足基频光高重频工作,再优化倍频晶体长度和控制倍频晶体温度可提高倍频光的输出功率。按上述仿真结论开展的验证实验结果表明:当磷酸氧钛钾晶体长度为12 mm、输出镜透过率为10%、重复频率为50 k Hz时,设计的激光器基频光平均功率为18. 98 W,倍频光平均功率为2. 22 W,与仿真结论一致。     

Dynamic pricing and replenishment: Optimality,bounds, and asymptotics

In many applications, managers face the problem of replenishing and selling products during a finite time horizon. We investigate the problem of making dynamic and joint decisions on product replenishment and selling in order to improve profit. We consider a backlog scenario in which penalty cost (resulting from fulfillment delay) and accommodation cost (resulting from shortage at the end of the selling horizon) are incurred. Based on continuous‐time and discrete‐state dynamic programming, we study the optimal joint decisions and characterize their structural properties. We establish an upper bound for the optimal expected profit and develop a fluid policy by resorting to the deterministic version of the problem (ie, the fluid problem). The fluid policy is shown to be asymptotically optimal for the original stochastic problem when the problem size is sufficiently large. The static nature of the fluid policy and its lack of flexibility in matching supply with demand motivate us to develop a “target‐inventory” heuristic, which is shown, numerically, to be a significant improvement over the fluid policy. Scenarios with discrete feasible sets and lost‐sales are also discussed in this article.     

履带车辆动力性仿真研究

为仿真履带车辆动力性,建立了动力性评价指标的仿真模型,并以某型车为实例,应用Matlab语言编程计算得出理论值,通过与试验值比较验证了模型的有效性和准确性。     

基于仿真推演的导弹作战实验框架分析与设计

针对导弹武器论证设计高成本、高复杂度的问题,本文梳理了导弹作战实验设计服务的多种功能需求,阐述了导弹作战实验设计的数理方法;为构建具有较好柔性的导弹作战实验仿真框架,针对导弹系统多个性能指标,辨析了各类导弹作战实验仿真变量;针对作战实验中的环境和装备特性,梳理了导弹作战实验模型体系,提出了仿真新模型开发框架;结合导弹作战实验案例,构建了实验设计优化方法,提出了作战实验检验设计方案;从运行实验出发,阐述了设定作战想定、建立控制机制、开展结果分析等仿真环节的具体设计。通过这些工作,形成了一种支撑导弹作战实验的柔性仿真框架,为进一步开展基于仿真推演的导弹作战实验提供参考。     

Balancing a one‐way corridor capacity and safety‐oriented reliability: A stochastic optimization approach for metro train timetabling

In urban rail transit systems of large cities, the headway and following distance of successive trains have been compressed as much as possible to enhance the corridor capacity to satisfy extremely high passenger demand during peak hours. To prevent train collisions and ensure the safety of trains, a safe following distance of trains must be maintained. However, this requirement is subject to a series of complex factors, such as the uncertain train braking performance, train communication delay, and driver reaction time. In this paper, we propose a unified mathematical framework to analyze the safety‐oriented reliability of metro train timetables with different corridor capacities, that is, the train traffic density, and determine the most reliable train timetable for metro lines in an uncertain environment. By employing a space‐time network representation in the formulations, the reliability‐based train timetabling problem is formulated as a nonlinear stochastic programming model, in which we use 0‐1 variables to denote the time‐dependent velocity and position of all involved trains. Several reformulation techniques are developed to obtain an equivalent mixed integer programming model with quadratic constraints (MIQCP) that can be solved to optimality by some commercial solvers. To improve the computational efficiency of the MIQCP model, we develop a dual decomposition solution framework that decomposes the primal problem into several sets of subproblems by dualizing the coupling constraints across different samples. An exact dynamic programming combined with search space reduction strategies is also developed to solve the exact optimal solutions of these subproblems. Two sets of numerical experiments, which involve a relatively small‐scale case and a real‐world instance based on the operation data of the Beijing subway Changping Line are implemented to verify the effectiveness of the proposed approaches.     

考虑落角约束与驾驶仪特性的自适应RBF空间末制导律

为使大口径舰炮制导炮弹在打击近岸机动目标的末制导段满足落角约束,现考虑自动驾驶仪动态特性,基于自适应RBF逼近网络与动态面滑模提出一种空间末制导律。构建空间弹目相对运动模型,通过带改进微分跟踪器的扩张状态观测器估计目标加速度。为零化视线角跟踪误差与视线角速率,采用自适应指数趋近律设计非奇异终端滑模动态面,并运用自适应RBF逼近网络削弱控制指令抖振。通过Lyapunov第二法证明了全系统中视线角跟踪误差与视线角速率均最终一致有界。仿真实验表明：该末制导律使制导炮弹在空间中打击具有不同机动形式的近岸目标时,均具备良好的末制导性能。     

动态矩阵控制在固体氧化物燃料电池中的应用

提出将动态矩阵控制(DMC)算法用于固体氧化物燃料电池(SOFC)的控制。为此,在分析SOFC动态机理模型的基础上,建立了其阶跃响应模型。控制目标是使SOFC的输出电压始终保持在一定范围内,并收敛到恒定的数值。在实际应用中,这样的算法应能提高SOFC输出功率的跟踪性能。仿真结果验证了这种方法的有效性。