一种基于采样追逃博弈的协同导引律设计  

A cooperative guidance law design based on sampled-data-pursuit-evasion game

作　　者：徐曙阳 姚雨晗[2] 李超勇 XU Shuyang;YAO Yuhan;LI Chaoyong(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China;Beijing Institute of Electronic System Engineering,Beijing 100854,China)

机构地区：[1]浙江大学电气工程学院,浙江杭州310027 [2]北京电子工程总体研究所,北京100854

出　　处：《飞行力学》2022年第6期44-50,共7页Flight Dynamics

基　　金：国家自然科学基金资助(62088101);浙江省自然科学基金资助(LR20F030003)。

摘　　要：针对多拦截弹协同拦截机动目标的问题,提出了一种基于采样追逃博弈的协同导引律。首先,分别考虑拦截弹与目标的控制动力学模型,建立弹目线性化相对运动方程,采用终端投影方法对相对运动方程进行降阶处理。然后,基于追逃博弈理论,考虑拦截弹集群与目标之间存在的落角约束,分别建立双方的性能指标函数。最后,基于代数图论,构建拦截弹集群的通信拓扑,考虑系统状态不能实时获得的情况,引入采样纳什理论求解协同导引律。仿真结果表明了基于采样追逃博弈求解得到的协同导引律在实际拦截场景中的有效性。Aiming at the problem of cooperative interception of a maneuvering target by multiple interceptors, a cooperative guidance law based on sampled-data-pursuit-evasion game was proposed. Firstly, the control dynamic models of the interceptors and the target were considered separately, the linearized relative motion equation of the interceptors and target was established, and the terminal projection method was used to reduce the order of the relative motion equation. Then, based on the pursuit-evasion game theory, considering the impact angle constraints between the interceptors and the target, the performance index of both sides was established. Finally, based on the algebraic graph theory, the communication topology of the interceptors was constructed. Considering the situation that the system state cannot be obtained in real time, the sampled-data Nash theory was introduced to obtain the cooperative guidance law. The simulation results verify the effectiveness of the cooperative guidance law based on sampled-data-pursuit-evasion game in actual interception scenarios.

关 键 词：协同导引 碰撞角约束 追逃博弈 采样纳什 

分 类 号：TJ765[兵器科学与技术—武器系统与运用工程]