高超声速飞行器低可探测性滑翔弹道优化方法

为进一步提高高超声速飞行器的突防性能,提出高超声速飞行器低可探测性滑翔弹道优化方法。考虑飞行器180°×360°方向的雷达散射截面,针对原数据尖峰多、收敛难的难题,运用高斯滤波法对其进行预处理,既不改变原数据趋势又加以平滑,提高优化问题收敛性能。为使计算所用雷达散射截面数据具备较强的保真性,采用三次样条插值方法调用离散数据计算实时雷达散射截面。完成了高超声速飞行器低可探测性滑翔弹道优化问题的建模,以探测概率为目标函数,运用hp自适应Radau伪谱法优化求解,采用逐步计算策略进一步提高优化效率和收敛性能。与传统最短飞行时间弹道对比表明,该方法有效降低了飞行器被雷达发现的概率。     

Optimal sensor placement for underwater threat detection

The optimization framework for optimal sensor placement for underwater threat detection has been developed. It considers single‐period and multiperiod detection models, each of which includes two components: detection algorithm and optimization problem for sensor placement. The detection algorithms for single‐period and multiperiod models are based on likelihood ratio and sequential testing, respectively. For the both models, the optimization problems use the principle of superadditive coverage, which is closely related to energy‐based and information‐based approaches. An algorithm for quasi‐regular sensor placement approximating solutions to the optimization problems has been developed based on corresponding continuous relaxations and a criterion for its applicability has been obtained. Numerical experiments have demonstrated that the algorithm consistently outperforms existing optimization techniques for optimal sensor placement.© 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于SQP法的助推-滑翔导弹助推段弹道优化研究

轨迹优化是飞行器总体优化设计中的重要组成部分,它贯穿于飞行器的整个设计过程。高超声速助推-滑翔导弹的弹道优化问题涉及攻角、法向过载、最大动压等多种约束条件,是一种复杂的最优控制问题。序列二次规划法（SQP）是解决该类问题行之有效的数值优化方法。本文利用SQP算法对助推-滑翔导弹助推段进行弹道优化,为这一高超声速飞行器的整体结构设计提供了有益的参考。     

基于RCS的三维低可探测性轨迹优化方法

针对基于雷达散射截面(RCS)规避雷达威胁的飞行轨迹优化问题,提出了低可探测性三维轨迹优化的求解方法.通过B样条拟合构建连续可微的RCS数据模型,结合三维飞行动力学模型,建立规避雷达威胁下的飞行运动控制模型.将轨迹优化问题描述成为最优控制问题,其中飞行姿态控制、轨迹约束、边界条件作为约束条件,以降低雷达探测概率和减少飞行时间为目标函数.运用高斯伪谱法( GPM)将连续的最优控制问题转换为离散的非线性规划问题进行求解.仿真结果证明本文方法实现了求解单基地雷达和双基地雷达探测环境中低可探测性三维轨迹优化问题,有效降低了飞行过程中的雷达探测概率和暴露时间.     

飞行器低空突防威胁建模与航迹优化算法

提出了一种飞行器在给定地形和威胁分布的威胁场进行低空突防的航迹优化算法。该方法首先对地形的高程栅格数据进行了图形简化预处理,将各种威胁叠加到地形图上,构成一个包含各种威胁的特定威胁场,再对其建立合理的有向图数学建模,用Dijkstra最短路算法进行航迹优化。航迹优化的过程中考虑了飞行器的过载限制,使优化航迹能够较好地满足飞行器各项性能指标及任务规划的要求,仿真结果显示,该算法简单快速,能很好地进行地形、威胁、障碍物的回避。     

滑翔飞行器多目标弹道优化的进化-配点混合求解策略

针对高超声速滑翔飞行器弹道多目标优化问题,综合考虑计算效率和精度,结合分解进化算法与配点法提出一种混合求解策略。根据滑翔飞行器动力学模型和弹道设计中需要考虑的约束条件,建立飞行器多目标弹道优化模型。利用控制量离散化方法将多目标弹道优化问题转化为带约束的多目标参数优化问题,并采用罚函数法处理约束条件,随后利用分解多目标进化算法进行求解。为了提高弹道优化的精度,将椭球聚合法与配点法相结合,以多目标进化算法得到的Pareto解作为初始解进行迭代求解。通过典型的复杂约束多目标弹道优化的算例表明,所提出的混合求解策略能够获得满足复杂约束要求的Pareto最优解集,实现有效的多目标弹道优化。     

隐身飞机突防建模及低可探测性轨迹规划

针对隐身飞机突防飞行规划,分析了隐身飞机对警戒雷达网突防过程问题特性,建立了雷达探测模型与组网警戒雷达信息融合模型;综合考虑隐身飞机的隐身能力、预警时间和燃料消耗将隐身飞机低可探测性轨迹规划问题形式化为一个复杂多目标非线性连续时间最优控制问题;并提出基于伪谱法的低可探测性轨迹规划方法。仿真实验实现了在组网警戒雷达下隐身飞机的低可探测性突防轨迹规划,证明了方法的可用性和有效性。     

Optimization of steerable sensor network for threat detection

A Markov chain approach to detecting a threat in a given surveillance zone by a network of steerable sensors is presented. The network has a finite number of predetermined states, and transition from one state to another follows a Markov chain. Under the assumption that the threat avoids detection, two game theoretic problems for finding an optimal Markov chain (two surveillance strategies) are formulated: the first maximizes the probability of threat detection for two consecutive detection periods, whereas the second minimizes the average time of detection for the worst‐case threat's trajectory. Both problems are reduced to linear programming, and special techniques are suggested to solve them. For a dynamic environment with moving noise sources, the optimal Markov chain changes at each detection period, and the rate of convergence of the Markov chain to its stationary distribution is analyzed. Both surveillance strategies are tested in numerical experiments and compared one with another. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

基于最优制导模板的神经网络预测制导方法

针对传统预测制导方法中高精度制导与快速实时解算之间的矛盾,提出了一种基于最优制导模板的神经网络预测制导方法。该方法采用基于高置信度飞行器运动模型仿真计算预测弹道落点,利用优化理论进行迭代解算制导变量,以此为基础离线生成样本数据;通过选择合适的多结构模态神经网络,进行基于调度管理的神经网络训练,完成神经网络控制器的设计。针对CAV进行了算例设计,结果表明:该制导方法在线计算量少,制导解算速度快,制导精度高,综合性能远优于传统的预测制导方法。     

无人机电子干扰条件下的路径规划

针对机载预警雷达结合地面雷达对低空突防无人机构成的严重威胁,提出一种基于A*算法的路径规划算法.该算法分析了电子干扰和无人机RCS对雷达探测空间的影响,建立了新的雷达探测空间模型和威胁模型进行路径规划,将A*算法应用于无人机的路径规划过程.在此基础上给出了应用该方法的具体步骤,并进行了MATLAB仿真.仿真结果表明:考虑电子干扰对雷达威胁区域影响的情况下规划的飞行路径飞行器能有效回避威胁,有效提高无人机的低空突防能力.     

混合遗传算法及其在运载火箭最优上升轨道设计中的应用

运载火箭最优上升轨道设计问题是一类终端时刻未定、终端约束苛刻的最优控制问题,经典算法求解这类问题时收敛性差、局部收敛等问题表现得比较突出。针对上述问题,将具有良好全局收敛性的遗传算法应用到运载火箭最优上升段设计问题求解中,为了提高遗传算法的收敛速度和克服早熟问题,结合遗传算法和单纯型算法的优点,设计了两种混合遗传算法。计算结果表明,所设计的混合遗传算法是求解复杂问题的有效全局优化方法,可以成功地解决一类终端时刻可变飞行器最优控制问题。     

Extending the MAD portfolio optimization model to incorporate downside risk aversion

A mathematical model of portfolio optimization is usually represented as a bicriteria optimization problem where a reasonable tradeoff between expected rate of return and risk is sought. In a classical Markowitz model, the risk is measured by a variance, thus resulting in a quadratic programming model. As an alternative, the MAD model was developed by Konno and Yamazaki, where risk is measured by (mean) absolute deviation instead of a variance. The MAD model is computationally attractive, since it is easily transformed into a linear programming problem. An extension to the MAD model proposed in this paper allows us to measure risk using downside deviations, with the ability to penalize larger downside deviations. Hence, it provides for better modeling of risk averse preferences. The resulting m‐MAD model generates efficient solutions with respect to second degree stochastic dominance, while at the same time preserving the simplicity and linearity of the original MAD model. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 185–200, 2001     

战斗机隐蔽接敌轨迹优化方法

针对空战对抗的隐蔽作战需求,对战斗机隐蔽接敌方法进行研究。基于战斗机雷达反射截面积的动态特性建立雷达探测威胁模型;以空战态势参数为状态建立接敌引导模型;以给定目标发现概率为暴露阈值进行威胁约束;以最小化接敌过程中累积被发现概率为性能指标;将战斗机隐蔽接敌问题建模为隐蔽性约束下的最优控制问题。为保证算法的实时性和有效性,引入滚动时域控制策略进行在线优化,并采用高斯伪谱法进行数值求解。仿真实验表明,通过路径约束和性能指标双重约束,能有效增强战斗机接敌的隐蔽性,算法实时性能满足战斗机控制的需求。     

基于改进萤火虫优化算法的BP神经网络目标群威胁判断

以舰艇防空作战目标选择决策和规划需求为背景,针对萤火虫算法求解精度不高且收敛速度较慢的问题,提出可动态调整步长的改进萤火虫优化算法。在改进萤火虫优化算法的基础上,建立基于改进萤火虫优化算法的BP神经网络目标群威胁判断结构模型。通过改进萤火虫算法优化BP神经网络的初始权值和阈值,能够更好地预测测试集。实验结果表明,该方法可快速、准确地实现目标群威胁判断。     

基于气动-弹道一体化模型的飞行器外形优化设计

为提升飞行器气动外形优化设计效果,研究了新型飞行器在大空域、宽速域范围的气动适应性问题,提出一种基于气动-弹道一体化模型的外形优化设计方法。通过考虑气动和弹道的耦合作用,综合利用类型函数/形状函数转换技术、气动工程估算方法和Radau伪谱法,建立飞行器气动-弹道一体化模型。基于该模型,通过明确优化目标和约束条件,给出基于Kriging的气动外形优化方法,实现在多参数约束条件下的飞行器气动外形高效全局优化。以升力体构型飞行器为例,开展气动外形优化设计,结果表明该方法能较好地描述大空域、宽速域的气动和弹道特征,有效提升飞行器气动外形设计精度和水平,可为新型飞行器总体设计提供技术支撑。     

航空时敏制导炸弹增程弹道组合优化设计

为增强航空时敏制导炸弹在中制导段的滑翔能力,将极小值原理与自适应进化粒子群算法相结合,提出了一种适用于航空时敏制导炸弹增程弹道的组合优化设计方法。基于纵向平面内质心运动模型,推导了性能指标泛函及各不等式约束函数。引入Lagrange乘子矢量并建立相应的Hamilton函数实现无约束泛函极值问题的转换,推导出兼顾各优化目标函数的满意优化模型。利用自适应进化粒子群算法对该段增程弹道进行了攻角与弹翼张合档位双设计变量的组合优化。数值仿真算例表明,在满足状态方程约束的条件下,双变量的增程效果比常规单变量控制时显著提高,其优化结果可为制导炸弹弹道规划设计的研究提供一定的理论参考。     

Maximizing project cash availability

Consider a project during the life cycle of which there are cash payouts and in‐flows. To better meet his financial commitments, the project owner would like to meet all deadlines without running out of cash. We show that the cash availability objective is similar to the total weighted flowtime used to measure work‐in‐progress performance in the scheduling and inventory control literatures. In this article we provide several specialized solution methods for the problem of minimizing total weighted flowtime in an arbitrary acyclic project network, subject to activity release times and due dates, where the activity weights may be positive or negative and represent cash in‐ and out‐flows. We describe the structure of an optimal solution and provide several efficient algorithms and their complexity based on mincost and maxflow formulations. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

高超声速伸缩翼变形飞行器轨迹多目标优化

针对高超声速条件下变形技术的应用模式，对具有伸缩翼的组合式飞行器滑翔弹道进行了多目标优化研究。介绍了伸缩翼的变形模式，给出了不同变形状态下的气动特性；建立了三自由度滑翔轨迹动力学模型和伸缩翼前缘热流计算模型；采用MOEA/D多目标优化算法，以变形条件和飞行攻角为设计变量、以最大射程和最小翼前缘总吸热量为目标函数，进行了多目标优化计算。优化结果表明，MOEA/D计算得到了相对均匀分布的Pareto最优解集，将伸缩翼外形与无变形外形相比，飞行器滑翔段射程得到了显著提高，同时伸缩翼前缘总吸热量有明显的降低。     

空中多飞行器飞行轨迹优化数值仿真

针对空中多飞行器在复杂环境中飞行轨迹的多目标最优问题，分析了多飞行器飞行过程中各种可视和不可视约束条件。基于在回避威胁区前提下燃料消耗最少、飞行时间最短的综合性能指标，采用“多方法组合”思路，提出了改进动态规划法和多点边值法组合算法，并进行了仿真验证，大量C＋＋数值飞行仿真结果表明该算法能够在考虑外界复杂环境和飞行器各种约束条件下快速规划出空中多飞行器的最优飞行轨迹，该组合算法具有一定的实用性和创新性。     

Expansion planning for waste‐to‐energy systems using waste forecast prediction sets

We consider an expansion planning problem for Waste‐to‐Energy (WtE) systems facing uncertainty in future waste supplies. The WtE expansion plans are regarded as strategic, long term decisions, while the waste distribution and treatment are medium to short term operational decisions which can adapt to the actual waste collected. We propose a prediction set uncertainty model which integrates a set of waste generation forecasts and is constructed based on user‐specified levels of forecasting errors. Next, we use the prediction sets for WtE expansion scenario analysis. More specifically, for a given WtE expansion plan, the guaranteed net present value (NPV) is evaluated by computing an extreme value forecast trajectory of future waste generation from the prediction set that minimizes the maximum NPV of the WtE project. This problem is essentially a multiple stage min‐max dynamic optimization problem. By exploiting the structure of the WtE problem, we show this is equivalent to a simpler min‐max optimization problem, which can be further transformed into a single mixed‐integer linear program. Furthermore, we extend the model to optimize the guaranteed NPV by searching over the set of all feasible expansion scenarios, and show that this can be solved by an exact cutting plane approach. We also propose a heuristic based on a constant proportion distribution rule for the WtE expansion optimization model, which reduces the problem into a moderate size mixed‐integer program. Finally, our computational studies demonstrate that our proposed expansion model solutions are very stable and competitive in performance compared to scenario tree approaches. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 47–70, 2016