双导弹拦截角度协同的微分对策制导律

为提高命中高价值目标的概率,基于线性二次型微分对策理论,对两枚导弹协同拦截单个目标的制导律进行了研究。单枚导弹在最小化自身脱靶量的同时,与另一枚导弹实现拦截角度上的协同,从而构成特定的拦截态势,以提高拦截机动目标的性能和末制导尾端对目标的可观测性。所推导的微分对策制导律考虑到了对策三方的控制系统动态,且具有解析解,形式上为零控脱靶量和零控协同拦截角误差的线性组合。基于推导结果完成了微分对策制导律的制导增益和对策空间分析,给出了鞍点解的存在条件,并进行了分析。非线性系统仿真结果表明由于导弹间存在显式的协同关系,拦截目标所需的加速度较低,且在设定的协同拦截角度收敛后,加速度会进一步减小。

Differential game guidance law for double missiles with cooperative intercept angle

To improve the kill probability of high-value targets,the guidance law for intercepting a single target by double missiles is studied based on the linear quadratic differential game theory.Each missile attempts to minimize its expected miss distance while also imposes a cooperation attacking angle relative to the other missiles to construct a specific attacking scenario for improving the agile maneuvering target interception and target observability in the end-game phase.The derived differential game guidance law takes into account of the control system dynamics of the game's three-sides and has closed-form analytic solutions.The solutions are linear combination of zero-effort miss distance and zero-effort cooperative intercept angle error.The guidance gains and differential game space are also analyzed,and the existence condition of the saddle point solution is given.Nonlinear simulations are carried out,and the simulation results show that the acceleration requirements of the missiles are low thanks to the cooperation between the double missiles,and the required accelerations can be further reduced after the designed cooperation attacking angles are converged.