Linear Quadratic Differential Game Strategies with Two-pursuit Versus Single-evader

In order to intercept the future targets that are characterized by high maneuverability, multiple interceptors may be launched and aimed at single target. The scenario of two missiles P and Q intercepting a single target is modeled as a two-pursuit single-evader non-zero-sum linear quadratic differential game. The intercept space is decomposed into three subspaces which are mutually disjoint and their union covers the entire intercept space. The effect of adding the second interceptor arises in the intercept space of both P and Q (PQ-intercept space). A guidance law is derived from the Nash equilibrium strategy set (NESS) of the game. Simulation studies are focused on the PQ-intercept space. It is indicated that 1) increasing the target’s maneuverability will enlarge PQ-intercept space; 2) the handover conditions will be released if the initial zero-effort-miss (ZEM) of both interceptors has opposite sign; 3) overvaluation of the target’s maneuverability by choosing a small weight coefficient will generate robust performance with respect to the target maneuvering command switch time and decrease the fuel requirement; and 4) cooperation between interceptors increases the interception probability.     

针对大气层外目标的双弹协同拦截中制导律设计

论文以大气层外弹道导弹目标为研究对象,考虑拦截弹中段发动机推力固定耗尽关机方式,针对多拦截弹拦截目标问题,提出一种基于零控脱靶量的双弹协同拦截中制导律。在基于零控脱靶量的中制导律的基拙上,以两枚拦截弹的预期拦截点作为协调变量,在两枚拦截弹在零控脱靶量满足末段制导要求情况下,调整两弹的预期拦截点使其一致。分析满足协同拦截的两枚拦截弹的中段初始条件,设计了相应的应对策略。该制导律具有通信负担低,鲁棒性较强的特点。仿真算例表明,所设计的双弹协同中制导律可以有效协调两枚拦截弹实现协同拦截。     

基于非线性模型的大气层内拦截弹微分对策制导律

针对新型战术弹道导弹(TBM)和智能巡航导弹等具有高机动性的拦截目标,应用控制受限的非线性对策模型,提出非线性微分对策制导律,并分析了零脱靶量拦截所容许的初始航向误差.目标和拦截弹间的相对运动是非线性的,采用传统线性化模型建立的拦截制导律会因为线性化而带来误差.提出的制导律是在保持拦截弹和目标的非线性运动学关系的基础上...     

Optimal divisible job load sharing for bus networks

Optimal load allocation for load sharing a divisible job over N processors interconnected in bus-oriented network is considered. The processors are equipped with front-end processors. It is analytically proved, for the first time, that a minimal solution time is achieved when the computation by each processor finishes at the same time. Closed form solutions for the minimum finish time and the optimal data allocation for each processor are also obtained     

Multi-UAV reconnaissance task allocation for heterogeneous targets using an opposition-based genetic algorithm with double-chromosome encoding

This paper presents a novel multiple Unmanned Aerial Vehicles (UAVs) reconnaissance task allocation model for heterogeneous targets and an effective genetic algorithm to optimize UAVs’ task sequence. Heterogeneous targets are classified into point targets, line targets and area targets according to features of target geometry and sensor’s field of view. Each UAV is regarded as a Dubins vehicle to consider the kinematic constraints. And the objective of task allocation is to minimize the task execution time and UAVs’ total consumptions. Then, multi-UAV reconnaissance task allocation is formulated as an extended Multiple Dubins Travelling Salesmen Problem (MDTSP), where visit paths to the heterogeneous targets must meet specific constraints due to the targets’ feature. As a complex combinatorial optimization problem, the dimensions of MDTSP are further increased due to the heterogeneity of targets. To efficiently solve this computationally expensive problem, the Opposition-based Genetic Algorithm using Double-chromosomes Encoding and Multiple Mutation Operators (OGA-DEMMO) is developed to improve the population variety for enhancing the global exploration capability. The simulation results demonstrate that OGA-DEMMO outperforms the ordinary genetic algorithm, ant colony optimization and random search in terms of optimality of the allocation results, especially for large scale reconnaissance task allocation problems.     

考虑协同航路规划的多无人机任务分配

针对多无人机任务分配与协同航路规划问题，以分布式合同网拍卖算法为基础，构建无人机集群任务拍卖架构与拍卖收益函数，结合模拟退火算法协调任务执行次序，采用A^*算法完成两任务点间航程预估，在任务分配阶段同步完成多无人机间协同航路的初规划，确定最佳任务执行次序，实现任务分配与协同航路规划的紧耦合。仿真结果表明，在考虑禁飞区、障碍威胁情况下，该算法能够有效完成多架无人机不同类型任务的分配，且目标分配、执行次序合理，总执行代价小，各机间负载均衡；在任务分配阶段考虑协同航路规划具有明显的效果，能够有效提高任务分配的合理性。     

基于蛇行变轨的反舰导弹末制导律研究

提出了一种超声速反舰导弹针对海面机动目标的主动蛇行变轨导引设计方案。首先建立了反舰导弹、拦截弹和舰艇在航向平面的运动几何关系模型,然后基于Terminal滑模控制的思想进行了制导律设计,采用约束视线角和视线角速度的方法使反舰导弹在打击舰艇的过程中实现蛇行变轨,以能够规避敌方拦截导弹。仿真结果表明,该制导律具有期望的性能要求。     

Optimal time-varying load sharing for divisible loads

A load sharing problem involving the optimal load allocation of divisible loads in a distributed computing system consisting of N processors interconnected through a bus-oriented network is investigated. For a divisible lend, the workload is infinitely divisible so that each fraction of the workload can be distributed and independently computed on each processor. For the first time in divisible load theory, an analysis is provided in the case when the processor speed and the channel speed are time varying due to background jobs submitted to the distributed system with nonnegligible communication delays. A numerical method to calculate the average of the time-varying processor speed and the channel speed and an algorithm to find the optimal allocation of the workload to minimize the total processing finish time are proposed via a deterministic analysis. A stochastic analysis which makes use of Markovian queueing theory is introduced for the case when arrival and departure times of the background jobs are not known     

基于多目标算法的空中作战任务规划框架研究

空中作战任务规划是一项复杂的任务,随着空中作战飞行器的种类、数量及其之间交互性的增加,任务规划也变得越来越复杂。任务规划人员必须在有限的时间内制定出最优的任务分配策略。决策支持工具可以辅助任务规划人员找到最优的规划方案。介绍了设计多目标进化算法以及在空中作战任务规划领域的框架和工作流程,具体的任务包括空中打击动态目标的定位问题和情报监视侦察（ISR）任务规划。总结了这些研究的经验教训,探讨了未来可能的发展方向。     

基于二维资源管理的多功能雷达任务调度算法

动态孔径分割技术为相控阵雷达针对不同任务灵活分配孔径资源提供了可能,而传统的资源调度方法仅基于单一孔径条件研究了时间资源的优化分配问题。针对雷达搜索、跟踪与成像任务的自适应调度问题,提出了一种基于时间-孔径二维资源管理的雷达资源调度算法。该算法建立了雷达孔径分割条件下的二维资源调度模型,确立了能量资源约束条件;利用基于压缩感知的稀疏孔径逆合成孔径雷达（ISAR）成像技术,使雷达在完成目标搜索和跟踪任务的同时实现对目标的成像;定义了调度算法性能的评价指标。在仿真实验中将该算法与另外2种算法进行对比,验证了所提算法在高度成功率、二维资源利用率与任务并行度这3种性能指标上具有优越性。     

冗余飞轮构型下力矩分配策略设计与分析

 主要研究了航天器姿控系统中冗余飞轮构型的力矩分配问题。在阐明该问题的基础上,首先给出了能量最优的力矩分配策略,并考虑飞轮力矩约束对其进行了限幅处理;接着基于静态最优化理论和飞轮系统性质,对四飞轮和多飞轮情况分别设计了相应的力矩最优分配策略,由于可有效地输出飞轮系的最大力矩,其有重要的工程应用价值;最后研究并对比了几种典型构型下两种分配策略所能输出的力矩包络,表明了所设计方法的有效性。     

多临近空间拦截器编队拦截自主协同制导控制技术研究

分析了目前高超声速飞行器的发展现状和发展趋势,指出高超武器已经给现有的防空反导武器系统带来极大威胁和挑战。针对高超声速飞行器的拦截问题,分析梳理了相关的技术难点。为保证拦截成功,采用多枚拦截器编队拦截高超声速目标是目前高效可行的技术途径,而多临近空间拦截器自主协同制导控制技术则是关键技术。针对多临近空间拦截器编队攻击自主协同制导控制技术,分别从建模、决策规划、感知、制导、控制以及评估6个方面提出需要解决的关键技术问题。最后对多临近空间拦截器编队拦截自主协同制导控制技术进行了总结与展望。     

气动舵/侧向脉冲推力复合控制导弹最优控制及输出反馈问题研究(英文)

针对气动舵/侧向脉冲推力复合控制导弹,设计了复合控制自动驾驶仪,其包含最优控制器和控制分配两部分。应用最优/经典综合控制法设计的最优控制器用于求解虚拟控制量;控制分配模块将虚拟力矩分配到冗余的作动器上。该复合控制器结构简单,跟踪性能好,具有鲁棒性,并能考虑对作动器的实际约束。基于该复合控制自动驾驶仪,发现采用总加速度为反馈时系统的稳定性和跟踪快速性之间的矛盾严重。为解决这一问题,剔除总加速度中的瞬时影响因素,采用攻角产生的加速度作为反馈,仿真结果表明攻角产生的加速度作为反馈时系统具有更好的快速性。最后针对如何得到合理的加速度反馈进行了简要的讨论,结果表明将总加速度通过低通滤波器后再作为反馈,也可以获得良好的跟踪性能。     

影子工资理论的发展与应用

影子工资是为实现一定的经济发展目标而人为确定的,比名义工资或实际工资更能准确地反映劳动力资源的真实价值,并能促进其合理流动与利用的经济价格。它不仅能合理地反映劳动力价值,而且还能反映社会消耗、劳动力市场的供求关系和劳动力资源的稀缺或过剩程度,有利于资源的优化配置。影子工资理论的发展经历了线性规划对偶法、市场均衡价格理论及其拓展、按贸易货物口岸价调节的国际市场价格理论等阶段。国际通用的影子工资测算方法有UNIDO法、L-M法、S-V-T法和阿拉伯法,等等。     

Reachable set modeling and engagement analysis of exoatmospheric interceptor

A novel reachable set(RS) model is developed within a framework of exoatmospheric interceptor engagement analysis. The boost phase steering scheme and trajectory distortion mechanism of the interceptor are firstly explored. A mathematical model of the distorted RS is then formulated through a dimension–reduction analysis. By treating the outer boundary of the RS on sphere surface as a spherical convex hull, two relevant theorems are proposed and the RS envelope is depicted by the computational geometry theory. Based on RS model, the algorithms of intercept window analysis and launch parameters determination are proposed, and numerical simulations are carried out for interceptors with different energy or launch points. Results show that the proposed method can avoid intensive on-line computation and provide an accurate and effective approach for interceptor engagement analysis. The suggested RS model also serves as a ready reference to other related problems such as interceptor effectiveness evaluation and platform disposition.     

Multiaspect classification of airborne targets via physics-basedHMMs and matching pursuits

Wideband electromagnetic fields scattered from N distinct target-sensor orientations are employed for classification of airborne targets. Each of the scattered waveforms is parsed via physics-based matching pursuits, yielding N feature vectors. The feature vectors are submitted to a hidden Markov model (HMM), each state of which is characterized by a set of target-sensor orientations over which the associated feature vectors are relatively stationary. The N feature vectors extracted from the multiaspect scattering data implicitly sample N states of the target (some states may be sampled more than once), with the state sequence modeled statistically as a Markov process, resulting in an HMM due to the “hidden” or unknown target orientation. In the work presented here, the state-dependent probability of observing a given feature vector is modeled via physics-motivated linear distributions, in lieu of the traditional Gaussian mixtures applied in classical HMMs. Further, we develop a scheme that yields autonomous definitions for the aspect-dependent HMM states. The paradigm is applied to synthetic scattering data for two simple targets     

Searching tracks

Search theory is the discipline that studies the problem of how best to search for an object when the amount of searching efforts is limited and only probabilities of the possible position of the object are given. Then, the problem is to find the optimal distribution of this total effort that maximizes the probability of detection. Although the general formalism of search theory will be used subsequently, we consider now a radically different problem. The problem is to detect target tracks. In the "classical" search theory, the target is said detected if a detection occurs during any time of the time frame. Here, on the contrary, the target track will be said to be detected if elementary detections occur at various times. That means that there is a test for acceptance (or detection) of a target track and that the problem is to optimize the allocation of the search effort for track detection. So, specific optimization problems are solved by means of the primal-dual formalism, in an original setup. Other aspects concern Markovian targets and two-sided search for which simple and efficient algorithms are derived.     

资源分配的混合式决策支持系统

本文研究静态资源分配问题。首先利用统计报表的硬数据和代表经理人员经验的软数据来建立资源分配问题的数学模型,然后用有约束非线性优化的方法作出最优资源分配的决策。     

Tracking of Spawning Targets with Multiple Finite Resolution Sensors

In this paper the problem of tracking multiple spawning targets with multiple finite-resolution sensors is considered and a new algorithm for measurement-to-track association with possibly unresolved measurements is presented. The goal is to initialize new tracks of spawned targets before they are resolved from the mother platform so that one has the ability to carry out early discrimination when they become resolved. The multiple scan data association problem is first formulated as a multidimensional assignment problem with explicit new constraints for the unresolved measurements. Then the top M hypotheses tracking (TMHT) is presented where the state estimates and their covariances are modified based on the M best hypotheses through the assignment solutions. A modification to the assignment problem is developed that leads to a linear programming (LP) where the optimal solution can be a noninteger in [0,1]. The fractional optimal solution is interpreted as (pseudo) probabilities over the N - 1 frame sliding window. The best hard (binary) decision assignment solution and the M best via TMHT are compared with the soft decision solution for 2-D tracking scenarios with various sensor configurations. Based on the simulation results, the soft assignment approach has better track maintenance capability than the single best hard assignment and a performance nearly as good as the TMHT. Its computational load is slightly higher than the single best hard assignment but much lighter than TMHT.     

多螺旋桨太阳能无人机横航向操稳特性研究

首先分析了大型高空长航时太阳能无人机由于超大展弦比和高效多螺旋桨带来的航向阻尼增量和航向操纵导数,接着分析了由此带来的横航向动态特性变化,并结合多螺旋桨的操纵特性,提出了多桨航向控制方法,最后进行了仿真验证.结果表明,分布式多桨布局对提高该类无人机的横航向稳定性有较大作用,以多桨的转速变化量最小为目标的最优化航向控制分配方法对超长航时飞行很有利.