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.