A predefined time guidance law with impact angle control is proposed for intercepting the stationary target. With such a guidance law, the convergence time of the impact angle error for the missile is independent of the initial conditions, and it can be selected at the will of the designer. First, a heading error shaping method based on the Lyapunov asymptotic stability theory will be introduced, which ensures the missile hits the target. Then, a bias term will be designed and introduced into this method, which can make sure the impact angle error converges to zero in the predefined time. The Lyapunov stability analysis is discussed in detail for the resulting predefined-time convergent guidance system. Finally, simulation examples are carried out to illustrate the effectiveness of the proposed guidance law.

中文翻译：

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基于预定义时间收敛理论的新型冲击角控制制导律设计


提出了一种带有撞击角控制的预定义时间制导律来拦截静止目标。采用这样的制导律，导弹撞击角误差的收敛时间与初始条件无关，可以由设计者任意选择。首先，介绍一种基于李亚普诺夫渐近稳定理论的航向误差整形方法，确保导弹击中目标。然后，设计一个偏置项并将其引入该方法中，以确保碰撞角度误差在预定时间内收敛到零。针对由此产生的预定义时间收敛制导系统，详细讨论了李亚普诺夫稳定性分析。最后通过仿真算例说明了所提出制导律的有效性。