Capturability of the Pulsed Guidance Law Based on Differential Game Theory

The capturability analysis of the pulsed guidance law using differential game theory is presented in this paper. The engagement of an interceptor with pulsed guidance constraint and a maneuvering target with bounded acceleration is considered. The differential game guidance laws for both the interceptor and the target are proposed. Then the engagement is converted into four different cases according to the guidance law parameters, and the capture boundary conditions for these four cases are given as functions of the guidance law parameters and the system parameters, including acceleration constraints, the acceptable miss distance and initial values of the engagement. Afterwards, the capture zone is given according to the boundary conditions and is decided by the guidance law parameters and the system parameters. Finally, various specific examples show that the interception can be guaranteed with lower acceleration constraint ratio and higher guidance law parameter ratio.