The Differential Game Guidance Law Design Based on Two-sided Optimal Control

In order to improve missile guidance ability to attack targets with large maneuverability,a two-sided optimal differential game guidance law was presented in this paper.A novel adjoint method was introduced to solve a two-point boundary value problem which is difficult in mathematics.The formula of the differential game guidance law was deduced in the case of first order time lag of missiles and targets.Compared with the simulation of the ideal proportional navigation and the one-sided optimal guidance law,the differential game guidance law is known to be an optimal solution,which minimizes the cost functional and miss distance.