Launch Envelope Optimization of Virtual Sliding Target Guidance Scheme

This paper presents an optimization of the performance of a recently proposed virtual sliding target (VST) guidance scheme in terms of maximization of its launch envelope for three-dimensional (3-D) engagements. The objective is to obtain the launch envelope of the missile using the VST guidance scheme for different lateral launch angles with respect to the line of sight (LOS) and demonstrate its superiority over kinematics-based guidance laws like proportional navigation (PN). The VST scheme uses PN as its basic guidance scheme and exploits the relation between the atmospheric properties, missile aerodynamic characteristics, and the optimal trajectory of the missile. The missile trajectory is shaped by controlling the instantaneous position and the speed of a virtual target which the missile pursues during the midcourse phase. In the proposed method it is shown that an appropriate value of initial position for the virtual target in 3-D, combined with optimized virtual target parameters, can significantly improve the launch envelope performance. The paper presents the formulation of the optimization problem, obtains the approximate models used to make the optimization problem more tractable, and finally presents the optimized performance of the missile in terms of launch envelope and shows significant improvement over kinematic-based guidance laws. The paper also proposes modification to the basic VST scheme. Some simulations using the full-fledged six degrees-of-freedom (6-DOF) models are also presented to validate the models and technique used.     

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...     

Design of optimal midcourse guidance sliding-mode control for missiles with TVC

This work discusses a nonlinear midcourse missile controller with thrust vector control (TVC) inputs for the interception of a theater ballistic missile, including autopilot system and guidance system. First, a three degree-of-freedom (DOF) optimal midcourse guidance law is designed to minimize the control effort and the distance between the missile and the target. Then, converting the acceleration command from guidance law into attitude command, a quaternion-based sliding-mode attitude controller is proposed to track the attitude command and to cope with the effects from variations of missile's inertia, aerodynamic force, and wind gusts. The exponential stability of the overall system is thoroughly analyzed via Lyapunov stability theory. Extensive simulations are conducted to validate the effectiveness of the proposed guidance law and the associated TVC.     

Quick identification of guidance law for an incoming missile using multiple-model mechanism

A guidance law parameter identification model based on Gated Recurrent Unit (GRU) neural network is established. The scenario of the model is that an incoming missile (called missile) attacks a target aircraft (called aircraft) using Proportional Navigation (PN) guidance law. The parameter identification is viewed as a regression problem in this paper rather than a classification problem, which means the assumption that the parameter is in a finite set of possible results is discarded. To increase the training speed of the neural network and obtain the nonlinear mapping relationship between kinematic information and the guidance law parameter of the incoming missile, an output processing method called Multiple-Model Mechanism (MMM) is proposed. Compared with a conventional GRU neural network, the model established in this paper can deal with data of any length through an encoding layer in front of the input layer. The effectiveness of the proposed Multiple-Model Mechanism and the performance of the guidance law parameter identification model are demonstrated using numerical simulation.     

三维自适应终端滑模协同制导律

针对多枚导弹协同作战的问题,且多枚导弹之间保持有向拓扑通信的条件下,基于终端滑模法设计了视线方向及视线法向的双层协同制导律。其中,视线方向的制导指令能够保证导弹同时完成拦截任务;视线法向上的三维制导律能够保证每枚导弹以期望的视线角攻击目标,从而发挥各枚导弹的最大杀伤力,并且视线角的约束相当于规划了末制导段导弹的弹道问题,在一定程度上避免攻击目标前导弹间发生碰撞。同时,针对所设计的滑模制导律设计了新的自适应律,从而加快了滑模面的收敛速度并且削弱了由符号函数引起的系统抖振现象。基于李雅普诺夫稳定性理论,证明了所设计制导律的正确性,并在最后给出了数学仿真实验,验证了所设计制导律的有效性及优越性。     

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     

中远程空空导弹弹载数据链战技指标研究

分析了中远程复合制导空空导弹中制导过程中弹载数据链的工作原理,并建立了中制导过程中的导弹运动模型、目标机动模型、导弹中制导导引律模型以及中末交接班模型。采用了不同的更新频率对中制导过程进行了仿真,从而得出弹载数据链允许的最低更新频率。     

大气层内模型预测静态规划拦截中制导

在临近空间机动目标拦截中,拦截器的初始动力段对中制导段乃至末端拦截性能具有重要影响。在模型预测静态规划（MPSP）理论基础上提出了一种初、中制导联合规划制导方法,旨在解决多阶段、快速、最优拦截轨迹规划和制导问题。首先,提出了一种改进的模型预测静态规划方法,该方法不仅可以满足终端约束,还可以生成最优初始状态,并在性能指标中考虑状态变量相关函数。其次,基于等效阻力模型建立了包含动力段与非动力段的两段规划模型,通过采用分段离散以及构建关机点变分关系的方法,避免了内点约束的引入,使MPSP算法可直接求解该两段规划问题。最后,结合提出的MPSP算法以及两段规划模型,实现了终端速度最优的拦截轨迹规划,结合目标预测方法,实现了对机动目标的预测拦截。仿真结果表明,本文方法可提高制导精度和终端速度,且能更好满足对机动目标的拦截需求。     

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。     

A Lyapunov-like approach to performance analysis of 3-dimensionalpure PNG laws

The 3-dimensional PPNG (pure proportional navigation guidance) law was proposed about forty years ago, but its performance has been analyzed only on the basis of the linearized trajectory equations, which are valid locally around the collision course. We take into full account the nonlinear dynamic characteristics of pursuit situation in the 3-dimensional space to analyze the performance of the 3-dimensional PPNG law more rigorously. We prove that a missile guided by the 3-dimensional PPNG law can always intercept a target maneuvering randomly in the 3-dimensional space if 1) the target acceleration varies with a known bound, 2) the navigation constant is selected large, and either 3a) the initial heading error is small or 3b) the missile keeps the head toward the target during flight. We also propose a modified PNG law, which seems to exhibit better performance at the final phase of pursuit than the conventional PPNG law. We introduce a Lyapunov-like method that proves to be a very powerful tool in obtaining our results     

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。     

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。     

带落角约束的末端机动Terminal滑模导引律设计

为了提高反舰导弹的突防概率,有效规避敌方舰空导弹的拦截,并且实现反舰导弹按预定方向精确打击目标的战术要求,首先,基于弹目之间的三维相对运动模型,应用Terminal滑模控制理论,设计了一种带有落角约束的变结构导引律;然后,通过叠加虚拟干扰的方法,在原来导引律基础上叠加了一虚拟干扰,此虚拟干扰不影响导引律的渐进稳定性,不...     

复合制导空空导弹截获目标概率研究

中远程空空导弹普遍采用中制导加末制导的复合制导体制,在中末制导交接段,导弹截获目标的概率(TAP)是一个重要的设计指标。建立了一种工程上实用的截获概率计算数学模型,研究了影响截获概率的5种主要误差源及其计算公式,并给出了一条典型弹道的截获概率计算结果。该方法特别适用于研究不同误差源对截获概率的影响,可以在一次弹道计算中得到该条弹道的截获概率。     

Saturated super-twisting sliding mode missile guidance

This paper concentrates on developing a missile terminal guidance law against a highly maneuvering target whose maneuvering acceleration is very close to that of the missile or even exceeds the missile normal acceleration in a finite period of time. A new saturated super-twisting algorithm is proposed and applied to the design of missile guidance law. The proposed algorithm has the advantages of simple structure, easy parameter tuning rules and a full utilization of the limit control input. The designed saturated super-twisting sliding mode guidance law is then employed in a missile guidance system. Simulation and its superior performance against strong maneuvering targets is demonstrated.     

一种基于滑模非奇异的反舰导弹导引律的设计与仿真

提出了一种反舰导弹滑模非奇异导引律。根据反舰导弹弹道的运动学分析方法,建立了弹目相对运动的数学模型。在非奇异理论的基础上,推导出具有带落角约束的滑模非奇异导引律。通过仿真,表明了该导引律能同时满足脱靶和落角的性能指标,具有优良的鲁棒性,脱靶量更小,精度更高。相比传统的比例导引律,具有更强的实用性和有效性。     

助推段防御比例导引法研究

基于助推段防御和比例导引法,分析了拦截弹与目标导弹的相对运动关系并给出了比例导引方程;采用差分法分析了拦截弹与目标导弹的位置关系、构建了数学模型并推导了拦截弹的差分方程;以拦截时间和拦截弹道为研究对象,分析了拦截弹的速度和比例系数对拦截时间和拦截弹道的影响,并对比例导引法的拦截弹道进行了三维仿真。仿真结果表明,助推段防御使用变系数比例导引法,可有效缓解拦截时间与拦截弹机动性之间的矛盾。     

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.     

大气层外拦截弹中段耗尽关机制导律

针对采用燃料耗尽方式关机且具有持续定常推力的大气层外拦截弹设计了中段制导律。假设拦截弹在关机后的无控滑行段中与目标相对距离不大．拦截弹与目标的引力加速度差近似为零，则拦截弹中制导的终端约束条件为视线转率为零。根据终端约束推导了推力定向解析表达式，分析了推力定向计算过程中存在的问题．并做了相应的改进。仿真表明．这种制导律具有计算简单、计算无奇异的特点，且在拦截近程弹道导弹时精度较高且鲁棒性好。     

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。