航天器末端拦截自适应博弈策略  

Adaptive Game Strategy of Spacecraft Terminal Interception

作　　者：王淳宝 叶东[1] 孙兆伟[1] 孙楚琦 WANG Chun-bao;YE Dong;SUN Zhao-wei;SUN Chu-qi(School of Astronautics,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《宇航学报》2020年第3期309-318,共10页Journal of Astronautics

基　　金：国家自然科学基金资助项目(61603115);军委科技委资助项目(17-H863-03-ZT-001-058-01);中国博士后科学基金资助项目(2015M81455)。

摘　　要：针对航天器末端拦截博弈问题,基于微分对策理论研究了各星的博弈策略。根据拦截空间是否具有防御器将博弈态势分为双星博弈和三星博弈。首先考虑拦截器与目标的双星博弈态势,以终端脱靶量为指标设计了相对博弈策略,并提出时间分析方程以提高策略对不同拦截态势的自适应性。然后,考虑具有防御器的三星博弈态势,提出了博弈切换策略将其化为分段双星博弈,并将双边时间方程扩展到三星博弈中,使拦截器在不被防御器反拦截的情况下,实现对目标的快速拦截。最后仿真分析了博弈策略与时间分析方程对航天器拦截博弈问题的有效性。Aiming at the terminal interception game problem of the spacecraft, the strategies of satellites are studied on the basis of the differential game theory. According to whether there is a defender in the intercept space, the game is divided into the two-satellite game or the three-satellite game. Firstly, consider the two-satellite game situation with an interceptor and a target. Then, the relative game strategies are designed with treating the terminal miss as a cost function. And the time analysis equation is proposed to improve the adaptivity of strategies for different intercept situations. Furthermore, consider the three-satellite game with a defender. The game switching strategy is proposed to decouple the game into the segmented two-satellite games. And the bilateral time equation is extended in the three-satellite game, which causes the interceptor to intercept the target rapidly, and not to be intercepted by the defender. Finally, the simulations analyze the effectiveness of the game strategy and the time analysis equation to the intercept game problem of the spacecraft.

关 键 词：末端拦截 微分博弈 CW方程 零控脱靶量 时间分析方程 

分 类 号：V448.23[航空宇航科学与技术—飞行器设计]