导弹摆脱距离可控的最优突防制导律

Optimal Penetration Guidance Law with Controllable Missile Escape Distance

针对三维空间内导弹末制导段机动突防问题,基于最优控制原理,提出一种攻击弹与防御弹的弹间最小距离(摆脱距离)可控的突防制导律。建立了攻击弹、目标、防御弹三者之间的相对运动方程组。假设防御弹采用比例导引律,引入零控脱靶量,同时考虑摆脱距离可控和攻击弹的控制能量最小问题,推导了最优突防控制模型,并基于最优控制理论进行求解。基于BP神经网络建立了反应当前战场攻防双方状态、制导律关键参数与最终摆脱距离非线性关系的代理模型,给出了突防制导律中关键参数的设定方法。仿真结果表明,采用本文的方法,可在控制能量尽量省的前提下实现三维空间内对攻击弹突防过程中摆脱距离的控制。

Aiming at the problem of maneuver penetration in the terminal guidance section of the attack missile in three-dimensional space,a penetration guidance law with controllable the minimum distance between the attacker and the defender(escape distance)is proposed based on the optimal control theory.A system of relative equations of motion between an attacker,a target,and a defender is established.Assuming that the defender adopts the proportional guidance law,introducing the zero-effort-miss distance,and considering the problem of controllable escape distance and minimum control energy of the attacker,the optimal penetration control model is derived and solved based on the optimal control theory.Based on the BP neural network,an agent model reflecting the nonlinear relationship between the states of the offensive and defensive sides of the current battlefield,the key parameter of the guidance law and the escape distance is established,and the setting method of the key parameter in the penetration guidance law is given.The simulation results show that by using the method of this paper,the control of the escape distance during the penetration of the attacker can be achieved in three-dimensional space under the premise of saving as much energy as possible.