Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target

Cooperative interception of the target with strong maneuverability by multiple missiles with weak maneuverability in the three-dimensional nonlinear model is studied. Firstly, the three-dimensional nonlinear model of cooperative guidance is established. The three-dimensional reachable region is represented composed of lateral acceleration and longitudinal acceleration in the two-dimensional coordinate system. Secondly, the problem of the multiple missile's reachable coverage area is transformed into the problem of cooperative coverage. A cooperative coverage strategy is proposed and an algorithm for quickly calculating the number of required missiles is designed. Then, the guidance law based on the cooperative coverage strategy is proposed, and it is proved that cooperative interception of the target can be achieved under the acceleration limit. Moreover, the relations among the number of missiles, the initial array position of terminal guidance and the coverage area of the target’s large maneuver are analyzed. The dynamic adjustment strategy of guidance parameters is proposed to reduce the guidance error. Finally, simulation results show that multiple missiles with low maneuverability can achieve effective interception of target with strong maneuverability through the proposed cooperative strategy and cooperative guidance method.     

现实真比例导引拦截任意机动目标捕获区域

主动机动突防技术的发展给大气层外动能拦截带来了严重困难。假设目标机动加速度方向垂直于弹目视线、形式任意且有界，分析了用于大气层外拦截制导的现实真比例导引律（RTPN）对该任意机动目标的捕获区域。首先在考虑拦截器存在机动过载饱和限制的情况下，推导了比例导引系数的选择范围，可使RTPN的制导指令加速度在拦截过程中不超过拦截器饱和过载；其次基于不等式分析方法，在不考虑拦截器过载限制时，推导了RTPN对任意机动目标的捕获区域；然后结合拦截器机动过载限制，推导了RTPN对任意机动目标的更加实用的捕获区域；最后通过数值仿真算例，验证了所提出的理论。     

高阶控制导弹线性二次型微分对策制导律

基于微分对策双边优化理论,给出了一种一般形式线性二次型微分对策制导律,该制导律可适用于具有任意阶控制的拦截导弹和目标的系统综合分析.由于该一般形式制导律具有解析解,针对一类具有一阶正当传递函数的拦截导弹进行了制导律的验证和仿真,推导了该情形下的微分对策制导律,并进行了制导增益和对策空间的分析,研究了鞍点解存在的条件.仿...     

Q-learning强化学习协同拦截制导律CSCD

为实现多枚导弹协同拦截机动目标,提升拦截效能,提出了一种Q-learning强化学习协同拦截制导律。首先,基于逃逸域覆盖理论,建立了非线性多弹协同拦截模型。其次,以视线角速率为状态,依据脱靶量构造奖励函数,通过离线训练生成强化学习智能体,并结合传统比例制导控制方法,构建基于强化学习的变导引系数制导律,实时生成实现协同拦截的制导指令。最终,通过数值仿真验证了所提算法的有效性和优越性。     

空空拦射导弹火控系统飞行方案建模与仿真

针对空空拦射导弹火控系统的飞行试验方案建模与仿真,提出了合理的建模假设,建立了一系列关于载机、目标机及导弹在导弹发射前、发射后整个靶试过程中的运动诸元解算模型,分析了飞机运动方程与火控系统攻击需求之间的相对关系,进行了仿真计算,并将仿真计算结果与实际工程试飞应用结果进行了对比,取到了满意的效果.     

空间拦截攻击区和威胁区仿真研究

基于冲量变轨理论,建立了天基动能拦截器通过一次变轨机动拦截目标的轨道机动模型,提出了攻击区和威胁区的概念,并给出了确定攻击区和威胁区的数值搜索算法.通过仿真计算,分别对不同的拦截时间和机动能力约束条件下攻击区和威胁区进行了仿真分析,结果表明,利用本算法能够方便地得到动能拦截器的攻击区和目标的威胁区,为拦截的实现提供必要的决策条件.     

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.     

考虑目标安全性的最优协同拦截制导律研究

针对目标和其发射的拦截弹对来袭攻击弹进行协同拦截问题,设计了一种最优协同拦截制导律。建立描述目标、攻击弹和拦截弹三者相对运动关系的模型,引入零控脱靶量对模型进行降阶处理。考虑拦截弹对攻击弹的拦截精度、拦截末端时目标的安全性以及目标、拦截弹的控制能量问题,基于攻击弹-拦截弹零控脱靶量、攻击弹-拦截弹终端横向相对运动速度零控脱靶量、目标-攻击弹零控脱靶量以及目标和拦截弹的加速度,建立了性能指标函数,同时考虑目标和拦截弹加速度的有限性,基于极小值原理设计了最优协同拦截制导律。仿真结果表明,相比目标和拦截弹独立飞行的情况,采用协同拦截制导律,在考虑了目标安全性的前提下,机动性较弱的拦截弹能够以较平直的弹道成功拦截攻击弹。     

分布式武器目标分配中的实时截止期分配

在分布式武器对目标的协同拦截中,作战任务往往被划分为多个子任务,为了保证任务的实时性,针对分布式武器对目标的协同拦截问题建立实时任务模型,运用分布式实时系统中的截止期分配技术,把全局作战任务的截止期转化为其包含的各子任务的截止期.建立了任务调度模型和仿真模型,对分配有截止期的子任务实施仿真调度,研究了在一定武器数量情况下,不同来袭目标数量和武器节点上本地负载所占不同比例时,各截止期分配方法保障任务实时性和完成率的能力,可为实时条件下的分布式任务协作研究提供参考.