A Mathematic Model on Differential Game based Flight-Path Angle Control Guidance Law

Abstract: The increasing maneuverability potential of the target motivates designers to achieve highperformance guidance law. And, control of flight-path angle can increase interceptor (such as kinetic kill vehicle, KKV) lethality in the terminal engagement. The purpose of this manuscript is to achieve a differential game guidance law with a specified flight-path angle as well as zero terminal miss distance. In this manuscript, a pursuit-evasion differential game based guidance law is investigated for interceptors engaging against invasion aircraft, and the miss distance as well as the flight-path angle is treated as the performance index. Unlike previous work on this issue, the proposed guidance law suitable for intercepting high-speed maneuvering target, and, the proposed guidance law need not to know the target’s future maneuver strategy. Numerical simulations are performed to investigate the performance of the proposed law.