基于终端滑模理论的攻击时间控制制导律

为实现导弹的攻击时间控制,基于导弹和目标的相对运动模型,对静止和匀速运动目标条件下的攻击时间控制制导问题开展了研究。根据静止目标条件下的导弹前置角理论计算公式,构造了关于前置角跟踪误差的滑模切换面。基于终端滑模理论,设计了一种无奇点的攻击时间控制制导律。对所设计制导律的收敛性及相关参数的取值范围进行了理论分析,证明了该制导律满足Lyapunov稳定性条件,并且不存在奇点。利用落点预测理论对制导律进行了推广,使所设计制导律能够实现匀速运动目标下的攻击时间控制。在不同条件下进行数值仿真,验证了制导律的有效性。

Impact time control guidance law based on terminal sliding mode theory

To control the impact time for a missile, the problem of impact time control guidance considering the stationary target and the moving target with constant velocity is studied in terms of the engagement geometry. According to a theoretical formula of the missile lead angle aiming at the stationary target, a sliding mode switching surface is constructed via the tracking error of the lead angle. An impact time control guidance law without singularity is designed based on the terminal sliding mode control theory. The convergence and the range of values allowed for the guidance parameter are theoretically analyzed. It is rigorously proved that the proposed guidance law satisfies the Lyapunov stability criterion and has no singularity. By utilizing the method of interception point prediction, this guidance law is extended to adapt to the case with a constant velocity target. The effectiveness of the proposed impact time control guidance law is validated through an amount of numerical simulations under various conditions.