拦截高速机动目标的捕获区及微分对策导引律

针对高速机动目标拦截场景,研究末制导段捕获区存在条件及微分对策导引律问题。建立弹目相对运动模型并引入控制动力学模型,采用终端投影方法对相对运动模型进行降阶处理;基于微分对策理论推导一种解析形式捕获区,并具体到直/气复合控制导弹对机动目标的拦截中,该捕获区的存在能够保证对任意机动目标进行准确捕获;重新选取性能指标,将目标与直/气复合控制导弹在末端带有碰撞角约束的制导问题转化为零和微分对策问题,并求解出弹目最优拦截策略。仿真分析了几种情形下直/气复合控制导弹对目标实施拦截的捕获区存在域,导引律仿真结果表明微分对策导引律在对高速机动目标进行拦截时具有优良性能。

Capture zones and differential game guidance law for high-speed maneuvering target interception

Aiming at the high-speed maneuvering target interception scenario, the conditions for the existence of the capture zone in the terminal guidance phase and the differential game guidance law were studied. The relative motion model of missile and target was established and the control dynamics model was introduced, and the relative motion model was reduced by terminal projection method. Based on the differential game theory, an analytic capture zone was derived, which can be used in the interception of maneuvering targets by a missile with dual control. The existence of the capture zone can ensure the accurate capture of any maneuvering target. The performance index function was re-selected, and the guidance problem of the target and the dual control missile with the collision angle constraint at the end was transformed into the zero-sum differential game problem, and the optimal interception strategy was solved. The simulation analyzed the existence of the capture zone of the dual control missile intercepting the target in several cases. Simulation results of the guidance law show that the differential game guidance law has better performance when intercepting high-speed maneuvering targets.