Impact point prediction guidance of ballistic missile in high maneuver penetration condition

An impact point prediction(IPP) guidance based on supervised learning is proposed to address the problem of precise guidance for the ballistic missile in high maneuver penetration condition.An accurate ballistic trajectory model is applied to generate training samples,and ablation experiments are conducted to determine the mapping relationship between the flight state and the impact point.At the same time,the impact point coordinates are decoupled to improve the prediction accuracy,and the sigmoid activation function is improved to ameliorate the prediction efficiency.Therefore,an IPP neural network model,which solves the contradiction between the accuracy and the speed of the IPP,is established.In view of the performance deviation of the divert control system,the mapping relationship between the guidance parameters and the impact deviation is analysed based on the variational principle.In addition,a fast iterative model of guidance parameters is designed for reference to the Newton iteration method,which solves the nonlinear strong coupling problem of the guidance parameter solution.Monte Carlo simulation results show that the prediction accuracy of the impact point is high,with a 3 σ prediction error of 4.5 m,and the guidance method is robust,with a 3 σ error of 7.5 m.On the STM32F407 singlechip microcomputer,a single IPP takes about 2.374 ms,and a single guidance solution takes about9.936 ms,which has a good real-time performance and a certain engineering application value.

Consecutive tracking for ballistic missile based on bearings-only during boost phase

This paper proposes a modified centralized shifted Rayleigh filter（MCSRF） algorithm for tracking boost phase of ballistic missile（BM） trajectory with a highly nonlinear dynamical model based on bearings-only.This paper contributes three folds.Firstly,the mathematical model of an MCSRF for multiple passive sensors is derived.Then,minimum entropy based onedimensional optimization search to adaptively adjust the probability of the different filters for real time state estimation is deployed.Finally,the unscented transform（UT） is introduced to resolve the asymmetric state estimation problem.Simulation results show that the proposed algorithm can consecutively track the BM precisely during the boost phase.In comparison with the unscented Kalman filter（UKF） algorithm,the proposed algorithm effectively reduces the tracking position and velocity root mean square（RMS） errors,which will make more sense for early precision interception.

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.

Research on ballistic missile laser SIMU error propagation mechanism

It is necessary that the laser inertial system is used to further improve the fire accuracy and quick reaction capability in the ballistic missile strapdown inertial navigation system. According to the guidance controlling method and the output and error model of ballistic missile laser SIMU, the mathematical model of error propagation mechanism is set up and any transfer environmental function of error coefficient that affects the fire accuracy is deduced. Also, the missile longitudinal/lateral impact point is calculated using MATLAB. These establish the technical foundation for further researching the dispersion characteristics of impact point and reducing the laser guidance error.

Multidisciplinary integrated design of long-range ballistic missile using PSO algorithm

In the case of the given design variables and constraint functions, this paper is concerned with the rapid overall parameters design of trajectory, propulsion and aerodynamics for long-range ballistic missiles based on the index of the minimum take-off mass.In contrast to the traditional subsystem independent design, this paper adopts the research idea of the combination of the subsystem independent design and the multisystem integration design.Firstly, the trajectory, propulsion and aerodynamics of the subsystem are separately designed by the engineering design, including the design of the minimum energy trajectory, the computation of propulsion system parameters, and the calculation of aerodynamic coefficient and dynamic derivative of the missile by employing the software of missile DATCOM. Then, the uniform design method is used to simplify the constraint conditions and the design variables through the integration design, and the accurate design of the optimized variables would be accomplished by adopting the uniform particle swarm optimization(PSO) algorithm. Finally, the automation design software is written for the three-stage solid ballistic missile. The take-off mass of 29 850 kg is derived by the subsystem independent design, and 20 constraints are reduced by employing the uniform design on the basis of 29 design variables and 32 constraints, and the take-off mass is dropped by 1 850 kg by applying the combination of the uniform design and PSO. The simulation results demonstrate the effectiveness and feasibility of the proposed hybrid optimization technique.

A split target detection and tracking algorithm for ballistic missile tracking during the re-entry phase

In the re-entry phase of a ballistic missile,decoys can be deployed as a mean to overburden enemy defenses.This results in a single track being split into multiple track-lets.Tracking of these track-lets is a critical task as any miss in the tracking procedure can become a cause of a major threat.The tracking process becomes more complicated in the presence of clutter.The low detection rate is one of the factors that may contribute to increasing the difficulty level in terms of tracking in the cluttered environment.This work introduces a new algorithm for the split event detection and target tracking under the framework of the joint integrated probabilistic data association(JIPDA)algorithm.The proposed algorithm is termed as split event-JIPDA(SE-JIPDA).This work establishes the mathematical foundation for the split target detection and tracking mechanism.The performance analysis is made under different simulation conditions to provide a clear insight into the merits of the proposed algorithm.The performance parameters in these simulations are the root mean square error(RMSE),confirmed true track rate(CTTR)and confirmed split true track rate(CSTTR).

Multi-target tracking algorithm of boost-phase ballistic missile defense

Considering the problem of multiple ballistic missiles tracking of boost-phase ballistic missile defense, a boost-phase tracking algorithm based on multiple hypotheses tracking （MHT） concept is proposed. This paper focuses on the tracking algo- rithm for hypothesis generation, hypothesis probability calculation, hypotheses reduction and pruning and other sectors. From an engineering point of view, a technique called the linear assignment problem （LAP） used in the implementation of M-best feasible hypotheses generation, the number of the hypotheses is relatively small compared with the total number that may exist in each scan, also the N-scan back pruning is used, the algorithm＇s efficiency and practicality have been improved. Monte Carlo simulation results show that the proposed algorithm can track the boost phase of multiple ballistic missiles and it has a good tracking performance compared with joint probability data association （JPDA）.

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.

Robust Graded Sliding Mode Tracking Control for Low Speed Spinning Ballistic Missiles

The nonlinear dynamic model of spinning ballistic missiles is established during the first boosting phase of the missile. Based on the conventional backstepping sliding mode control and the assumption of a two time-scale separation of missile dynamics, a graded sliding mode controller is designed with two sub-sliding surfaces which have invariability to external disturbances and parameter perturbations, and a matrix which comprises three first order low pass filters is introduced to prevent “explosion of terms”. Owing to the upper bounds of the uncertainties are difficult to obtain in advance, adaptive laws are introduced to estimate the values of the uncertainties in real-time. Eventually, the numerical simulation results given to show the proposed controller can ensure the steady flight of missiles.

2023年国外航天领域发展综述

为及时、准确地了解2023年度国外航天领域的发展动向,对国外航天运输领域、弹道导弹领域以及高超声速技术领域的最新发展情况进行了全面梳理,涉及美、俄等各国航天领域的重点型号研发、飞行试验情况以及重大热点事件等,并通过综述分析对2024年国外航天领域的发展进行了展望。

DoDAF的末段反导C^2BM系统需求分析

末段反导指控与作战管理(Command,Control and Battle Manangement,C2BM)系统是末段反导系统的指挥控制中心。在系统分析末段反导系统的组成及末段反导C2BM系统工作过程的基础上,初步探讨了基于DoDAF(De-partment of Defense Architecture Framework)的末段反导C2BM系统需求分析方法和步骤,建立了末段反导C2BM系统的作战视图,对末段反导C2BM系统的体系结构及其信息交互进行了深入分析和可视化建模,保证了对末段反导C2BM系统需求理解的一致性,有效促进了军事人员与分析设计人员间的沟通和交流,为后续的开发夯实坚实的基础。

雷达干扰信号弹道参数变化量分析方法

本文中从模拟弹道导弹突防中末段对抗场景出发,依据弹道导弹的弹道特性以及突防中所产生的干扰信号延时特征,提出了一种雷达干扰信号弹道参数变化量的分析方法。通过提取有效的轨道数据,确定干扰信号的位置,计算干扰信号的轨道,定量地分析干扰信号的弹道参数的变化结果。结果表明,雷达干扰信号的轨迹能形成稳定逼真的弹道,所提出的方法对选择更优的弹道导弹突防策略有指导意义。

地空导弹武器系统抗击TBM时的有效部署区

基于弹道导弹的航迹特点,提出了地空导弹武器系统反TBM有效部署区的概念,建立了数学模型,并且论述了使用有效部署区域图进行战斗部署的方法。

美国弹道导弹防御C2BMC系统发展综述

指挥控制、作战管理和通信（command and control，battle management and communications，c2BMC）系统是美国弹道导弹防御的核心。通过详细分析C2BMC系统的功能、目标和研制进展，找出了其薄弱环节，在此基础上提出了一些对策与思考，对弹道导弹的发展建设具有重要指导意义。

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。

基于空基平台的TBM助推段拦截可行性分析

为了研究对TBM目标进行空基助推段拦截的作战可行性,设计了空基反TBM的拦截作战过程。在此基础上,从拦截时序、拦截作战距离、拦截方式和拦截弹末速度要求、拦截时空综合等4个方面详细分析了空基助推段拦截TBM的可行性,同时建立了拦截可行性分析计算模型;最后,对拦截可行性进行了仿真验证。从而为空基反导武器装备发展和作战使用研究提供了重要的参考依据。

BM弹头雷达一维像干扰初探

根据目前反导雷达使用宽带信号对目标进行一维成像,检测目标几何特征的特点,从弹道导弹(BM)弹头雷达一维像(HRRP)特征出发,参照宽带线性调频雷达成像原理,讨论了对BM弹头HRRP可采取的几种电子干扰措施,包括对BM弹头HRRP的模拟和遮盖,给出了模拟BM弹头HRRP时所需生成的各信号特征,分析了每种遮盖干扰信号的功率利用情况,最后分析了每种干扰措施的优缺点。

始终处于大气层内飞行的TBM被动段弹道预测

对大气层内飞行的TBM弹道进行预测时,需要根据不同的应用要求,在求解精度允许范围内用近似方法对六自由度运动进行简化,获得简便实用的弹道预测方法。在假设获得TBM被动段弹道初始位置和速度参数的基础上,首先构建简便实用的处于大气层内飞行的TBM被动段抛物线弹道模型;然后将雷达测得的TBM被动段弹道初始位置和速度参数作为初始条件,对弹道方程采用精度较高的龙格-库塔法进行求解,相应得出被动段弹道上各点及落点的位置和速度参数,进一步确定出落点位置的地理位置经纬度。在某地空攻防对抗仿真项目中应用表明,弹道模型及其求解方法可应用于实战或较为逼真的仿真系统中。

美国KEI导弹发展研究及性能分析

动能拦截弹(kinetic energy interceptor,KEI)主要用于拦截在助推段、上升段以及中段飞行的中远程和洲际弹道导弹,具有高速、高加速的特点。通过文献资料的研究分析和建模仿真,对KEI导弹的总体参数、气动参数、动力参数进行了反设计和研究,并对KEI导弹的飞行性能和拦截性能进行了仿真,结果表明:KEI导弹能够在约60 s内加速至6 km/s,并对典型目标具备在助推段/上升段拦截弹道导弹的能力,对国内拦截武器的发展和研究具有参考意义。

防空导弹拦截TBM的微分对策分析

从系统动力学出发,基于制导与控制原理,建立了防空导弹拦截末端机动的TBM微分对策模型,并根据极大极小原理,得到了微分对策的最优策略,确定了防空导弹的测向推力矢的最佳方向。