Online task planning method of anti-ship missile based on rolling optimization

Based on the wave attack task planning method in static complex environment and the rolling optimization framework, an online task planning method in dynamic complex environment based on rolling optimization is proposed. In the process of online task planning in dynamic complex environment,online task planning is based on event triggering including target information update event, new target addition event, target failure event, weapon failure event, etc., and the methods include defense area reanalysis, parameter space update, and mission re-planning. Simulation is conducted for different events and the result shows that the index value of the attack scenario after re-planning is better than that before re-planning and according to the probability distribution of statistical simulation method, the index value distribution after re-planning is obviously in the region of high index value, and the index value gap before and after re-planning is related to the degree of posture change.

Boost-Phase ballistic missile trajectory estimation with ground based radar

A conditional boost-phase trajectory estimation method based on ballistic missile （BM） information database and classification is developed to estimate and predict boos-phase BM trajectory. The main uncertain factors to describe BM dynamics equation are reduced to the control law of trajectory pitch angle in boost-phase. After the BM mass at the beginning of estimation, the BM attack angle and the modification of engine thrust denoting BM acceleration are modeled reasonably, the boost-phase BM trajectory estimation with ground based radar is well realized. The validity of this estimation method is testified by computer simulation with a typical example.

Trajectory design and simulation in injection phase for hyper-velocity kinetic energy missile

A movement law of laser beam facula is designed for the injection trajectory of hyper-ve- locity kinetic energy missile to eliminate the influence of motor exhaust smoke on laser signal trans mission. Taking guidance loop of hyper velocity kinetic energy missile as plant, a closed loop control system with desired step response characteristics is constructed and the movement law of laser beam facula for the missile injection trajectory is designed based on the output signal of the closed loop controller under a step input. Six degree of freedom trajectory simulations show that by the guidance of the laser beam facula moving with designed law, the missile can finish transition from the initial trajectory to a stable tracking trajectory without overshoot within the required time.

Study on Anti-ship Missile Saturation Attack Model

Based on the analysis for the interception process of ship-to-air missile system to the anti-ship missile stream, the antagonism of ship-to-air missile and anti-ship missile stream was modeled by Monte Carlo method. This model containing the probability of acquiring anti-ship missile, threat estimation, firepower distribution, interception, effectiveness evaluation and firepower turning, can dynamically simulate the antagonism process of anti-ship missile attack stream and anti-air missile weapon system. The anti-ship missile's saturation attack stream for different ship-to-air missile systems can be calculated quantitatively. The simulated results reveal the relations among the anti-ship missile saturation attack and the attack intensity of anti-ship missile, interception mode and the main parameters of anti-air missile weapon system. It provides a theoretical basis for the effective operation of anti-ship missile.

Damage effectiveness assessment method for anti-ship missiles based on double hierarchy linguistic term sets and evidence theory

The research on the damage effectiveness assessment of anti-ship missiles involves system science and weapon science, and has essential strategic research significance. With comprehensive analysis of the specific process of the damage assessment process of anti-missile against ships, a synthetic damage effectiveness assessment process is proposed based on the double hierarchy linguistic term set and the evidence theory. In order to improve the accuracy of the expert ’s assessment information, double hierarchy linguistic terms are used to describe the assessment opinions of experts. In order to avoid the loss of experts ’ original information caused by information fusion rules, the evidence theory is used to fuse the assessment information of various experts on each case. Good stability of the assessment process can be reflected through sensitivity analysis, and the fluctuation of a certain parameter does not have an excessive influence on the assessment results. The assessment process is accurate enough to be reflected through comparative analysis and it has a good advantage in damage effectiveness assessment.

Trajectory Optimization Design for Morphing Wing Missile

This paper presents a new particle swarm optimization( PSO) algorithm to optimize the trajectory of morphing-wing missile so as to achieve the enlargement of the maximum range. Equations of motion for the twodimensional dynamics are derived by treating the missile as an ideal controllable mass point. An investigation of aerodynamic characteristics of morphing-wing missile with varying geometries is performed. After deducing the optimizing trajectory model for maximizing range,a type of discrete method is put forward for taking optimization control problem into nonlinear dynamic programming problem. The optimal trajectory is solved by using PSO algorithm and penalty function method. The simulation results suggest that morphing-wing missile has the larger range than the fixed-shape missile when launched at supersonic speed,while morphing-wing missile has no obvious range increment than the fixed-shape missile at subsonic speed.

Firepower distribution method of anti-ship missile based on coupled path planning

Anti-ship missile coordinated attack mission planning is a complex multi-objective optimization problem with multiple combinations of platforms, strong decision-making constraints,and tightly coupled links. To avoid the coupling disorder between path planning and firepower distribution and improve the efficiency of coordinated attack mission planning, a firepower distribution model under the conditions of path planning is established from the perspective of decoupling optimization and the algorithm is implemented. First, we establish reference coordinate system of firepower distribution to clarify the reference direction of firepower distribution and divide the area of firepower distribution;then, we construct an index table of membership of firepower distribution to obtain alternative firepower distribution plans;finally, the fitness function of firepower distribution is established based on damage income, missile loss,ratio of efficiency and cost of firepower distribution, and the mean square deviation of the number of missiles used, and the alternatives are sorted to obtain the optimal firepower distribution plan. According to two simulation experiments, the method in this paper can effectively solve the many-to-many firepower distribution problem of coupled path planning. Under the premise of ensuring that no path crossing occurs, the optimal global solution can be obtained, and the operability and timeliness are good.

Research on terminal maneuver strategy of anti-ship missiles

To design the terminal maneuver strategy of an anti-ship missile,first,the analytical solution of miss distance when an anti-ship missile has planar weaving maneuver and three-dimension spiral maneuver is presented,in which not only the amplitude and frequency are considered but also the initial phase is taken into account.Next,based on the analytical solution of miss distance,the effects on the miss distance of the amplitude,frequency,initial phase of the anti-ship missile＇s maneuver acceleration and the order of flight control system of the air-ship missile are analyzed.Finally,the optimum weaving maneuver and spiral maneuver which make the miss distance be the largest under some conditions are designed,which is of important meaning for increasing the survival probability of the anti-ship missile.

Improvement of Intercept Probability Algorithm for Anti-ship Missile Based on Search Theory

Traditional intercept probability model has some drawbacks and can not meet the demands of command and control system. Aiming at this problem, a new calculation method based on search theory, terminal control area distribution function of anti-ship missile, target distribution function and missile's radar scan feature is proposed. Under the condition of common target distribution, an intercept probability model for present point attacking is determined. The simulation verifies its effectiveness and establishes the selecting model for aiming point when enemy ships evade in high speed.

Conceptual Design Architecture Modeling and Simulation for Boost Phase Ballistic Missile Defense

The design review, simulation and validation of a Conceptual Design Architecture (CDA) for Ballistic Missile Defense (BMD) are presented. An intercept system that contains a Ground Based Interceptor (GBI) and its guidance sensors (both radar and infrared) are simulated. 3D model using MATLAB is developed for a multistage target with ascent phase acceleration profile that depends on total mass, propellant mass and the specific impulse in the gravity field. The radar cross section (RCS) and infrared radiation (IR) of the target structure is estimated as a function of the flight profile. The Kill Vehicle (KV) design is examined as a function of the KV mass, acceleration capability, aimpoint offset and impact energy to destroy the target. The aim of the CDA is to: detect the launch of a threat ballistic missile, determine whether the detected object is a threat,define the characteristics of the threat ballistic missile, develop a firing solution to negate the threat ballistic missile, engage the threat ballistic missile, and assess the effectiveness for ballistic missile intercept. The architecture is modeled in Matlab.

EFP Warhead Missile Fuze Analysis and Simulation

The explosive formed penetrator （EFP） warhead missile projects the blast fragments in one direction normal to the missile longitudinal axis. Through analyzing on the two restrictions of EFP warhead explosion： trajectory restriction and attitude requirement, the concept of fuze time-delay tolerance is presented to be the measurement of the time of the EFP warhead explosion. The calculation models of fuze time-delay tolerance under two restrictions are provided. Some crucial parameters playing important roles in calculation under attitude requirements are simulated. The simulation results show that the engagement plane angle, roll rate and warhead attack standoff influence the tolerance dramatically.

双层三阶多项式拟合的弹道导弹发射点估计方法

发射点估计是炮位侦察校射雷达的重要任务之一。在仅利用雷达测量数据的情况下,先通过三阶函数拟合弹道导弹主动段时间-高度曲线估计导弹的绝对发射时刻,从而求得各个弹道轨迹点相对于绝对发射时刻的相对发射时间,然后再次利用三阶函数拟合主动段相对时间-水平位移,进而得到弹道导弹发射点估计结果。通过弹道导弹运动模型仿真具有一二级助推的弹道数据,并增加雷达观测误差,分析验证了所提方法的有效性和精确性。经测试,所提方法求解过程简单,对主动段弹道拟合准确,发射点估计精度达到0.6%以内,定位误差较传统方法降低了50%以上。

反高超声速导弹网格化拦截战法初步研究

高超声速导弹已成为大国博弈的尖端武器,对现有导弹防御系统造成了严重冲击。为应对高超声速导弹威胁,提出了一种分布式网格化拦截战法,有助于实现从分层防御到分布式防御的创新发展。该战法具有分布式作战、弹性作战的优势,满足反导作战的快速反应需求,容易在较大防御纵深上实现即时最优的拦截作战任务规划。给出了网格化部署模型和基于短期轨迹预报的拦截规划流程。在反高超声速导弹的想定场景下,对该战法进行了初步演示,并总结了战法原则。在天基组网探测支援下,该战法利用目标轨迹的短期预报,可有效应对高超声速目标的强机动威胁。

Optimal trajectory and heat load analysis of different shape lifting reentry vehicles for medium range application

The objective of the paper is to compute the optimal burn-out conditions and control requirements that would result in maximum down-range/cross-range performance of a waverider type hypersonic boost-glide(HBG) vehicle within the medium and intermediate ranges,and compare its performance with the performances of wing-body and lifting-body vehicles vis-a-vis the g-load and the integrated heat load experienced by vehicles for the medium-sized launch vehicle under study.Trajectory optimization studies were carried out by considering the heat rate and dynamic pressure constraints.The trajectory optimization problem is modeled as a nonlinear,multiphase,constraint optimal control problem and is solved using a hp-adaptive pseudospectral method.Detail modeling aspects of mass,aerodynamics and aerothermodynamics for the launch and glide vehicles have been discussed.It was found that the optimal burn-out angles for waverider and wing-body configurations are approximately 5° and 14.8°,respectively,for maximum down-range performance under the constraint heat rate environment.The down-range and cross-range performance of HBG waverider configuration is nearly 1.3 and 2 times that of wing-body configuration respectively.The integrated heat load experienced by the HBG waverider was found to be approximately an order of magnitude higher than that of a lifting-body configuration and 5 times that of a wing-body configuration.The footprints and corresponding heat loads and control requirements for the three types of glide vehicles are discussed for the medium range launch vehicle under consideration.

基于LSTM与1DCNN的导弹轨迹预测方法

针对弹道导弹等超远程攻击目标的轨迹难以预测的问题,提出一种基于长短期记忆(long short-term memory,LSTM)网络与一维卷积神经网络(1-dimensional convolutional neural network,1DCNN)的目标轨迹预测方法。首先,建立三自由度导弹运动模型,依据再入类型设计3种目标轨迹数据,构建机动数据库,解决轨迹数据的来源问题。其次,采用重复分割与滑动窗口的方法对轨迹数据进行预处理。然后,基于LSTM与1DCNN设计了一种目标类型分类网络,对目标进行初步分类。最后,基于1DCNN设计轨迹预测网络,对目标轨迹进行预测。仿真结果表明,提出的轨迹预测网络能够完成轨迹预测任务,预测误差在合理范围内。

A distributed cooperative guidance law for salvo attack of multiple anti-ship missiles

The consensus problem of impact time is addressed for multiple anti-ship missiles. A new distributed cooperative guidance law with the form of biased proportional navigation guidance （BPNG） is presented. The proposed guidance law employs the available measurements of relative impact time error as the feedback information to achieve the consensus of impact time among mis- siles and, by exploiting the special structure of the biased cooperative control term, it can handle the seeker＇s field-of-view （FOV） constraint. The proposed scheme ensures convergence to consensus of impact time under either fixed or switching sensing/communication network, and the topological requirements are less restrictive than those in the existing results. Numerical examples are provided to illustrate the effectiveness of the proposed guidance law.

弹道导弹及其诱饵的运动特性研究

为了研究弹道导弹及其诱饵的运动规律,分3步设计了弹道导弹主动段飞行程序。根据弹道导弹在不同运动阶段的受力情况,充分考虑大气阻力、摄动力等因素,在地心惯性坐标系下构建了包含弹道导弹主动段、自由飞行段、再入段的全弹道运动模型,并对弹道导弹的诱饵释放过程进行建模,建立了弹道导弹弹头及诱饵的运动方程组。利用该模型对携带4枚诱饵、两级火箭助推的弹道导弹进行了仿真,并分析了飞行过程中弹道导弹弹头和诱饵飞行高度、速度、倾角、加速度等随时间的变化规律。仿真结果表明,该模型能够全面准确地反映弹道导弹在几个不同运动阶段的运动特征。

基于深度强化学习的跳跃式导弹轨迹优化算法

导弹的跳跃飞行过程可建模为时变非线性微分方程组,该方程组难以得到解析解,给导弹的轨迹优化带来很大的困难。针对该问题,提出一种基于双深度Q网络的带网络优选(NEO)策略的深度强化学习(NEO-DDQN)算法,所提算法以跳跃导弹航程最大化为优化目标,在热流密度、动压、过载及末速度等约束下,求解跳跃导弹的轨迹优化问题。设计问题的动作空间、状态空间和奖励函数;确定算法关键参数学习率的取值及合适的贪心策略,并提出NEO策略,得到所提NEO-DDQN算法;开展与最优恒定攻角(OCAOA)方案、遗传算法(GA)的对比实验。结果表明:NEO策略有效提升了算法的求解稳定性且将航程提升了2.52%;与OCAOA方案、GA相比,所提算法使跳跃导弹航程分别提高了2.61%和1.33%;所提算法还避免了直接求解复杂非线性微分方程,为轨迹优化问题提供了一种新型的基于学习的算法。

高超声速滑翔目标拦截弹方案设计与弹道规划

针对高超声速滑翔目标的拦截问题,分析了拦截窗口、拦截方式以及毁伤方式等拦截问题,并提出了拦截弹总体方案及弹道规划需求;开展了拦截弹总体方案设计,设计了一种两级助推的拦截弹方案,确定了推进系统、操纵系统的总体基本参数,并完成了拦截弹气动外形设计与质心定位;构建了拦截弹弹道规划的分析方法和工具,根据设计约束开展了针对HTV-2高超声速滑翔目标的拦截弹道规划研究,采用粒子群算法对弹道进行了求解。结果表明:采用空基拦截的方式可达到预期的最大拦截速度,满足拦截弹拦截滑翔武器的速度约束指标;此外开展了该拦截弹拦截概率评估,确定了针对高超声速滑翔目标可采用分层防御的方式从多个拦截站依次拦截。