RETRACTED: Differential game guidance law for a kinetic kill vehicle and its simulation

Abstract

As the maneuverability of targets has been further increased in recent years, it is highly desirable to improve the performance of an interceptor’s guidance law. The ‘‘hit-to-kill’’ scenarios of a kinetic kill vehicle (KKV) require a centimeter-level miss distance, and control of impact angle can considerably increase the KKV’s lethality. Two forms of linear quadratic differential game (LQDG) guidance laws for the KKV are proposed in this paper. The first can achieve only zero terminal miss distance, and the second can achieve a specified impact angle as well as zero terminal miss distance. The LQDG guidance laws are obtained by solving a two-sided linear quadratic optimization problem. In game theory, the adversaries are considered as two independent controlled objects. A major advantage is that the LQDG guidance laws make no assumption of the target’s future maneuver strategy. Simulation results show that the two guidance laws can meet the requirements of the KKV and that the centimeter-level miss distance does not lead to a large guidance command near the terminal time.