有界控制导弹攻击防御性飞机的制导律

Guidance law of bounded-control missile for attacking an aircraft with defending missile

为提高攻击导弹同时面对目标飞机及其防御导弹情况下的命中概率,基于微分对策理论,对攻击导弹的制导律进行了设计。应对独立控制的多对象博弈问题,微分对策理论具有天然的优势,且相比于最优制导律,微分对策制导律对于目标机动估计误差和机动策略具有更强的鲁棒性。所推导的微分对策制导律进一步考虑了攻击导弹的控制有界性,且适用于攻击导弹、目标飞机和防御导弹具有高阶线性控制系统动态的情形。为验证制导律性能,进行了非线性系统仿真,结果表明该制导律在成功归避防御导弹的同时可实现趋于零脱靶量的目标拦截。攻击导弹为实现规避和攻击的双重任务,仅需要保持相比于防御导弹两倍左右的机动优势。

To improve the kill probability of attacking missile for target aircraft interception while avoiding a defending missile, a guidance law for attacking missile is presented based on differential game theory. The differential game theory has natural advantages for game of multi-body with independent control. As compared to optimal guidance law, the differential game guidance law further takes into account of the bounded control of attacking missile and is adapted to the attacking missile, target aircraft and defending missile with high-order control dynamics. Nonlinear simulations are carried out to verify performance of the guidance law, and the results show that the attacking missile can intercept the target with near zero miss distance while avoiding the defending missile successfully. To fulfill the avoiding and intercepting mission, the attacking missile only needs two times maneuvering performance against the defending missile.