带有末端角度和轨迹路径点约束的MPSC制导律设计

Guidance law of model predictive spread control with waypoints and terminal impact angle constraints

针对多约束制导问题,给出了一种同时满足末端角度约束和飞行轨迹路径点约束的模型预测扩展控制制导方法,该制导方法通过满足飞行轨迹路径点约束实现灵活调节飞行轨迹,可以大大缩短目标防御反应时间。模型预测扩展控制制导方法是基于非线性最优控制理论,给出了控制量表达式以二次形式近似时制导律的设计过程。模型预测扩展控制制导方法只能对末端时刻输出量进行约束,通过对该制导方法进行扩展,使其还可以满足飞行轨迹路径点约束。仿真结果表明,考虑飞行轨迹路径点约束时,导弹经过设定的路径点并以给定的弹道倾角命中目标。

In view of guidance law with multi-constraints, a suboptimal guidance law with both terminal impact angle and waypoints constraints is presented by using the proposed model predictive spread control（MPSC） technique. Waypoints constraint gives the flexibility to shape the trajectory as well as to deny the enemy a long reaction time. The MPSC guidance law is based on nonlinear optimal control theory. The design process of guidance law is given, supposing that the controlled variable adopts quadratic approximation. Some modifications on the MPSC guidance law are given, then it can also satisfy the flight trajectory constraints instead of only satisfying the final output constraints. Simulation results show that the missile can pass through the given waypoints in addition to achieving near zero miss distance with demand flight path angle.