主动防御飞行器的范数型微分对策制导律

针对具有主动防御能力的飞行器受到攻击导弹的威胁后发射一枚导弹进行防御的制导问题，基于微分对策理论对飞行器和防御弹的制导律进行了设计和分析。首先，对于飞行器、防御弹和攻击弹的侧向控制均有界的情况，基于一种范数型的性能指标推导得出了对策三方的最优制导策略。然后，当攻击弹采用不同制导策略时，对飞行器和防御弹能够对策成功的条件进行了分析，给出了飞行器能够实现逃逸和防御弹能够完成拦截的最小机动条件。最后，进行了非线性仿真，结果表明了所提制导律的有效性，并验证了飞行器若要逃脱攻击弹需满足其最小逃逸机动条件，防御弹若要拦截攻击弹需满足其最小拦截机动条件。 

Norm differential game guidance law for active defense aircraft

For the pursuit-evasion problems between an active defense aircraft which can launch a defending missile from itself and an attacking missile, a guidance law for aircraft and defending missile is derived and analyzed based on the differential game theory. First, Optimal guidance strategies with bounded lateral controls of aircraft, defending missile and attacking missile are derived for the three players by using a norm performance index. Second, the conditions of a successful evasion for the aircraft and a successful interception for the defender are deduced, and the minimal evasion maneuver of the aircraft and the minimal interception maneuver of the defender are obtained. Finally, Nonlinear simulations are carried out to validate the guidance law proposed. It is verified that the aircraft can evade the attacking missile if its maneuver is equal or greater than the minimal evasion maneuver, and the defender can intercept the attacking missile if its maneuver is equal or greater than the minimal interception maneuver.