博弈机动突防制导控制方法  

Guidance and control method for game maneuver penetration missile

作　　者：陆红 骆帅 查旭 孙明玮 LU Hong;LUO Shuai;ZHA Xu;SUN Mingwei(Beijing Aerospace Technology Institute,Beijing 100074,China;College of Artificial Intelligence,Nankai University,Tianjin 300350,China)

机构地区：[1]北京空天技术研究所,北京100074 [2]南开大学人工智能学院,天津300350

出　　处：《中国惯性技术学报》2023年第12期1262-1272,共11页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(62073177)。

摘　　要：为提升高速导弹突防能力和打击精度,提出了一种高速导弹机动博弈突防策略。运用微分博弈理论对基于脱靶量的性能指标进行最小化设计,得到突防弹和拦截弹的博弈制导律。根据过载-攻角间数学关系,反解出攻角、滚转角指令。针对高速导弹控制系统非线性、强耦合问题,采用反步控制方法对其进行解耦控制,采用一阶指令滤波器求解虚拟控制指令的一阶导数,避免了反步控制方法中“微分项爆炸”问题。仿真结果表明,相比传统制导律突防弹脱靶量仅有米级的情况,采用博弈制导律的突防弹能够实现208 m的突防脱靶量,验证了所提算法的优越性;采用指令滤波反步法控制器的突防弹,能够实现对控制指令信号的良好跟踪,面临同等速度和过载性能导弹的拦截时,突防脱靶量可达156 m,同时具备对固定目标3 m的精确打击能力。To promote the penetration ability and attackingaccuracy of high-speed missile,a guidance and control method for game maneuver penetration missile is proposed.For the tripartite game problem of penetration missile-interception missile-target,differential game theory is used to minimize the performance criterion based on miss distance,and the game guidance law of penetration missile and interception missile is obtained.Based on the equations between overload and the angle of attack,the command of angle of attack and roll angle are solved.In response to the nonlinear and strong coupling problem of the high-speed missile control system,the backstepping control method is used to decouple and control it,and the first order command filter is used to solve the first-order derivative of the virtual command,avoiding the problem of“differential term explosion”in the backstepping control method.The simulation results show that compared with the situation that the penetration miss distance of the traditional guidance law is only meters,the penetration missile using game guidance law can achieve a penetration miss distance of 208 m,verifying the superiority of the proposed algorithm.The penetration missile using the command filtering backstepping controller can achieve a penetration miss distance of 156 m when faced with missile interception of the same speed and overload capacity,while also possessing the ability to strike fixed target with an error of 3 m.

关 键 词：微分博弈 反步法 指令滤波器 攻防对抗 

分 类 号：E927[军事—军事装备学]