三体追逃攻防博弈分析与新型拦截制导律研究

研究分析了拦截弹、防卫弹和进攻弹的三体攻防博弈对抗问题。进攻弹相对拦截弹实施最优躲避,拦截弹相对进攻弹实施最优追踪,防卫弹相对于拦截弹实施最优追踪。针对不同作战场景,研究分析了拦截弹赢得三体攻防博弈的特定条件与区域。在特定场景下,拦截弹在命中进攻弹之前会被防卫弹拦截,无法仅通过应用最优追踪制导律完成攻防博弈任务。针对此场景,提出一种新型制导律,在拦截弹与防卫弹作战时间内,拦截弹相对于防卫弹执行躲避机动,同时保证相对于进攻弹的零控脱靶量最小。在对抗完成之后,拦截弹相对于进攻弹实施最优追踪制导,赢得三体攻防博弈。最后,多组仿真验证了本文分析得到的条件与结论,以及新型制导律的有效性。

Analysis for Pursuit and Evasion Conflict of Three Players and Research of Novel Intercepting Guidance Law

An attack and defense game of three players, including an interceptor, a defender, and an attacker is studied in this paper. Attacker performs optimal evasion maneuver with respect to interceptor and interceptor performs optimal pursuit maneuver with respect to attacker, while defender performs optimal pursuit maneuver relative to interceptor. Considering different engagement scenarios, conditions and regions for interceptor to win the conflict of three players are analyzed. In a specific engagement scenario, interceptor will be intercepted by defender before hitting attacker, which causes that interceptor cannot finish mission just using optimal pursuit maneuver with respect to attacker. In view of this scenario, a novel guidance law is proposed in this paper. Using the novel guidance law, interceptor first performs evasion maneuver relative to defender. Meanwhile, the zero-effort-miss distance between attacker and interceptor are guaranteed to be smallest. After the conflict between interceptor and defender, interceptor performs optimal pursuit maneuver with respect to attacker so as to win the pursuit and evasion conflict of three players. Finally, multiple sets of simulation are performed to verify the effectiveness of conditions, conclusions and novel guidance law acquired in this paper.