Empirical virtual sliding target guidance law design: an aerodynamic approach

We present a novel empirical virtual sliding target (VST) guidance law for the midcourse phase of a long range surface-to-air missile that uses the simplicity of the conventional proportional navigation (PN) guidance law while exploiting the aerodynamic characteristics of a missile's flight through the atmosphere to enable the missile to achieve superior performance than that achieved by conventional PN guidance laws. The missile trajectory emulates the trajectory of an optimal control based guidance law formulated on a realistic aerodynamic model of the missile-target engagement. The trajectory of the missile is controlled by controlling the speed of a virtual target that slides towards a predicted intercept point during the midcourse phase. Several sliding schemes, both linear and nonlinear, are proposed and the effect of the variation of the sliding parameters, which control the sliding speed of the virtual target, on the missile performance, are examined through extensive simulations that take into account the atmospheric characteristics as well as limitations on the missile in terms of the energy available and lateral acceleration limits. Launch envelopes for these sliding schemes for approaching and receding targets are also obtained. These results amply demonstrate the superiority of the proposed guidance law over the conventional PN law.     

Three-dimensional cooperative guidance laws against stationary and maneuvering targets

This paper presents the cooperative strategies for salvo attack of multiple missiles based on the classical proportional navigation(PN) algorithm.The three-dimensional(3-D) guidance laws are developed in a quite simple formulation that consists of a PN component for target capture and a coordination component for simultaneous arrival.The centralized algorithms come into effect when the global information of time-to-go estimation is obtained, whereas the decentralized algorithms have better performance when each missile can only collect information from neighbors.Numerical simulations demonstrate that the proposed coordination algorithms are feasible to perform the cooperative engagement of multiple missiles against both stationary and maneuvering targets.The effectiveness of the 3-D guidance laws is also discussed.     

空空导弹高抛弹道作战效能研究

为增加空空导弹的射程,设计了采用奇异摄动中制导律实现导弹迅速爬升并在最优高度上巡航的高抛弹道。建立了四种目标机动模型,通过弹道仿真,将奇异摄动中制导与弹道形成最优中制导进行对比,得到不同初始高度两种制导方式的最远初始攻击距离,分析了初始高度对高抛弹道性能的影响。仿真结果表明,所设计的高抛弹道能有效地增加空空导弹的攻击距离,进而提高导弹的作战效能。     

基于锥形运动的制导火箭速度控制导引律设计

针对制导火箭落点速度的约束要求,提出了一种采用锥形运动控制导弹飞行速度的导引方法。该方法首先设计了满足速度约束的虚拟目标理想运动轨迹,将导弹减速控制问题转化为对虚拟目标的追踪导引问题,通过建立制导火箭与虚拟目标的相对运动模型,分析了弹目相对位置和相对速度的关系,推导了具有速度控制的导引律一般形式,并采用动态逆控制理论设计了锥形运动控制指令和导引参数。通过数字仿真对比了不同落角约束条件下导弹锥形运动的速度控制效果,结果表明该方法设计的导引律能够满足制导火箭速度约束要求,且制导精度高、控制效果好,为导弹锥形运动速度控制技术提供了参考。     

Optimal guidance for acceleration constrained missile andmaneuvering target

Explicit formulas of optimal guidance laws for an acceleration-constrained, arbitrary-order missile and maneuvering target are derived. These formulas are given in terms of the transfer function and acceleration constraint of the missile and the transfer function/shaping filter of the target. Optimal full-state feedback guidance law is synthesized against a target performing a barrel roll maneuver, and compared with the performance of proportional navigation (PN) for minimum and nonminimum phase missile. Simulation of a third-order missile shows the relative gain from using the full-order guidance law     

一种弹目遭遇点预测方法

为充分利用舰空导弹中制导段所获信息并减小导弹中制导段的弹道曲率,给出一种弹目预测遭遇点的解算方法,并据此设计比例导引制导律。在初始发射坐标系中,假设目标由当前位置以当前速度大小沿当前速度方向匀速运动至遭遇点,导弹由当前位置以当前速度大小按照一定的导引规律匀速运动至遭遇点。在该假设条件下,导弹到达遭遇点的总航路大小一方面...     

基于闭路制导的弹道导弹发射诸元的仿真算法

提出了一种基于闭路制导的弹道导弹的发射诸元算法.给定发射点与瞄准点的地理位置,以压低弹道为目标,通过一种迭代方法求解关机点弹道倾角,并基于地球引力级数展开模型提出了一种虚拟目标的快速计算方法,以主动段弹道平面和被动段弹道平面二面角为指标完成了发射方位角的迭代计算,最后通过仿真算例论证了该算法的可行性.     

一种应用于弹道导弹控制的朗伯特导引方法

介绍了一种用于与弹道目标会合的三自由度拦截弹仿真,其导引方法可以使拦截弹与弹道目标的位置和速度相匹配,在会合后能够跟随目标运动。该方法采用朗伯特导引,控制在主动段飞行的导弹,使它的弹道与弹道目标的弹道重合。在与弹道目标会合之前,预先设定了一个短暂的末修段,以使拦截弹的速度与弹道目标的速度相匹配。     

基于脱靶量数据的发射系航迹参数求解方法

针对当前海态巡航飞行试验末段外测无法跟踪测量的实际问题,基于现有脱靶量测量系统,建立了利用某脱靶量测量数据到发射系的转换模型。此模型将脱靶量测量数据统一到发射系航迹中,有利于航迹分析工作。并建立了转换结果的误差估计模型,误差模型充分考虑了脱靶量测量误差、靶船定位误差以及靶船航向角误差。利用仿真数据对转换模型及误差模型进行了计算验证。结果表明,位置误差满足精度要求。该方法对延拓外测处理时段具有积极意义。     

带落角约束的虚拟目标实时轨迹生成算法

针对导弹带落角约束条件打击目标的要求,在纵向平面内,根据导弹和目标的实时运动轨迹,提出了一种虚拟目标实时轨迹生成算法,并且给出了该算法中所需要的目标实时位置信息的估算方法.仿真结果表明,以该算法得出的虚拟目标轨迹作为导弹的跟踪对象,采用变结构导引律能满足落角约束条件,并且能够提供很高的命中精度,从而证明了该算法的正确性和有效性,为带落角约束条件打击目标提供了一种新的思路和途径.     

无动力滑翔弹最优抛射初始条件研究

从研究无动力滑翔弹的可攻击区大小及相应的6-D飞行轨迹角度出发,基于无动力滑翔弹运动学与动力学和中/末制导律的数学模型,通过不同初始投放条件的组合(投放高度、投放速度、投放角度),计算了大量的可攻击区及相应的6-D飞行轨迹,比较了不同组合情况下的可攻击区大小及相应的6-D飞行轨迹,得出了一组无动力滑翔弹最优初始投放条件数据.     

基于Lyapunov稳定性的扩展比例导引律研究

利用虚拟目标概念和三维空间追逃模型,提出了一种基于Lyapunov稳定性的扩展比例导引律。该导引律能同时满足脱靶量要求和末端落角要求,保证了大空域变轨弹道的各段弹道平滑衔接。利用该导引律引导反舰导弹实现了各种形式的大空域变轨弹道。采用大空域变轨弹道有利于提高反舰导弹的机动能力和突防能力。仿真结果证明了所提出的基于Lyapunov稳定性的扩展比例导引律是很有效的。     

Generalized guidance law for homing missiles

The concept of a generalized guidance law is presented, and the closed-form solution for a homing missile pursuing a maneuvering target according to generalized guidance laws is given. It is shown that the guidance laws appearing in the literature are merely special cases of the one proposed by the authors. The derived generalized forms of capture area, missile acceleration, and homing time duration that are derived provide insight into the performance of the guidance laws being considered and lead to the discovery of new ones. The problem of finding a nonlinear optimal guidance law for a homing missile with controlled acceleration, applied so as to capture a maneuvering target with a predetermined trajectory while minimizing a weighted linear combination of time of capture and energy expenditures, is solved in closed form. The derived optimal control law is equal to the LOS (line of sight) rate multiplied by a trigonometric function of the aspect angle. Numerical simulation shows that the resulting guidance law appears to yield a significant advantage over true proportional navigation     

基于标准弹道点的最优制导方法

由于基于需要速度的显式制导方法要确定虚拟目标点,虚拟目标点的确定要对地球扁率和再入阻力的影响进行修正,存在着百米以上的修正误差,为此提出了基于标准弹道点的最优制导方法,即将标准弹道的某点作为目标点进行需要椭圆轨道计算及最优入轨控制。提供了采用弹上迭代制导方法实现最优控制,同时给出了预测关机参数的需要椭圆轨道终端约束校正方法。该制导方法无需进行地球扁率和再入阻力的影响修正,可以减少方法误差,仿真计算证明了这一点。     

一种瞬时圆周加速度制导律设计

为了保证导弹攻击目标的精确性,根据平面弹道的几何特性,设计了一种输出指令为过载的瞬时圆周制导律.描述了瞬时圆周加速度制导律原理,详细推导了制导方程.利用导弹质心和目标质心的位置及速度信息,得出导弹攻击目标的过载制导指令,并进行了弹道仿真.仿真结果表明,所设计的瞬时圆周加速度制导律不仅能够保证导弹准确命中目标,而且弹道平...     

Composite impact vector control based on Apollo descent guidance

A new three-dimensional missile guidance law to control the impact vector against a stationary target is proposed. The composite guidance law has two well-known components: Apollo descent guidance and trajectory shaping guidance. These respectively linear and planar guidance laws are combined to achieve a specified impact direction. The main idea is to define an impact plane and to steer the missile onto this plane using Apollo descent guidance while concurrently performing trajectory shaping wi...     

Dynamic attack zone of air-to-air missile after being launched in random wind field

A new concept is presented for air-to-air missile which is dynamic attack zone after being launched in random wind field. This new concept can be used to obtain the 4-dimensional(4-D)information regarding the dynamic envelope of an air-to-air missile at any flight time aimed at different flight targets considering influences of random wind, in the situation of flight fighters cooperated with missiles fighting against each other. Based on an air-to-air missile model, some typical cases of dynamic attack zone after being launched in random wind field were numerically simulated.Compared with the simulation results of traditional dynamic envelope, the properties of dynamic attack zone after being launched are as follows. The 4-D dynamic attack zone after being launched is inside traditional maximum dynamic envelope, but its forane boundary is usually not inside traditional no-escape dynamic envelope; Traditional dynamic attack zone can just be reliably used at launch time, while dynamic envelope after being launched can be reliably and accurately used during any flight antagonism time. Traditional envelope is a special case of dynamic envelope after being launched when the dynamic envelope is calculated at the launch time; the dynamic envelope after being launched can be influenced by the random wind field.     

基于层次评估理论的弹道导弹末段突防制导律研究

针对弹道导弹末段突防问题,应用层次性能评估体系,对弹道导弹末段典型突防制导律进行对比分析.并通过对弹道导弹制导精度、弹道导弹最大过载、弹道飞行时间和反导导弹脱靶量以及它们的均值、均方差的重要性和需求性分析,合理设置评估体系的指标及其权值,应用随机仿真分析方法,对比仿真经典比例导引、修正比例导引和变结构比例导引三种突防制导律的性能.仿真结果证明,层次评估理论可以用于弹道导弹末段突防制导律的评估及优选.     

弹道导弹自由段飞行中的守恒量及其应用

从精确弹道计算所用的数学模型出发，指出了弹性在自由段飞行中的两个具有明确物理意义的运动守恒量，并给出了用发射坐标系下的运动参数求这些守恒量的简洁计算公式。这两个守恒量可作为一种简单、实用的辅助评估手段用于计算结果可信性分析以及导弹发射诸元的校验。     

反舰导弹对目标选择的一种新方法

超视距反舰导弹(ASM)在搜索阶段选择预定目标时,目前采用的瞄准点选择方法受自控终点的散布误差和目标机动影响较大。为此提出一种利用舰艇编队相互位置关系(MPR)选择预定目标的方法。编队相互位置关系即其余目标相对参考目标的位置,对于一个编队,选择不同的参考目标得到不同的编队相互位置关系。对发射前装订的编队,以预定目标为参考目标获得其编队相互位置关系,在末制导雷达探测到的编队目标中,若以某目标为参考目标时的编队相互位置关系与之最相似,则该目标即为所要选择的预定目标。该方法不受自控终点散布误差和编队目标整体机动的影响。仿真实验表明该方法正确选择预定目标的概率高于瞄准点选择方法。