具有终端位置和角度约束的广义弹道成型制导律

针对导弹终端位置和角度约束制导问题,提出了基于剩余飞行时间控制权函数,采用Schwartz不等式推导了最优制导律,并在小角假设基础上将其表述为便于工程实现的广义弹道成型制导律.分别利用Schwartz不等式和伴随函数法研究了无动力学滞后系统的量纲一制导指令和一阶动力学滞后系统的量纲一位置与角度脱靶量特性.最后,给出了包含可用过载限制的制导阶次设计方法.结果表明,该最优制导律不但能同时满足终端位置和角度需求,而且通过设计合理的制导阶次可减小末端需用过载,间接控制终端攻角.

Generalized Trajectory Shaping Guidance Law with Both Impact Position and Angle Constrains

To study the terminal guidance problem with both impact position and angle constrains, a novel control weighted function based on of time-to-go was proposed. Generalized optimal guidance law was deduced by the Schwartz inequality, and generalized trajectory shaping guidance law was obtained based on small angle assumption in order to be well used in engineering. Then, the non-dimensional guidance command, miss distance and impact angle error of the guidance law were investigated using Schwartz inequality and adjoint function. Finally, the method of designing the guidance-order with limit of available overload was given. Simulations demonstrate that the generalized guidance law not only is satisfied with the requests of impact position and angle constrains, but also can make the guidance command at impact return to zero, so that, the impact angle of attack can be controlled indirectly by choosing an appropriate guidance-order.