以已推导所得的导弹-目标相对运动三维非线性模型作为研究对象,为获得快速收敛的跟踪效果,引入有限时间控制理论,设计具有有限时间收敛效果的非线性导引律。从理论角度论证了导弹在有限时间内成功拦截非机动目标的可行性,并估算了有效拦截时间的范围。计算机仿真结果表明,所设计导引律能够使整个导弹-目标相对运动系统稳定,控制导弹在有限时间内击中目标,实现零脱靶量打击,提高了导弹的拦截性能。

In order to get a fast-convergent tracking effect,a new guidance law design method through finite time control was proposed,which was based on a 3-D model of relative movement between the missile and target. The feasibility of interception in finite time and the upper limit of the convergence time were investigated. Simulating results showed that the proposed guidance law can stably control the relative motion system of the missile and target,and the missile was controlled to intercept the target in limited time with zero miss-distance.