Optimal Penetration Guidance Law for High-Speed Vehicles against an Interceptor with Modified Proportional Navigation Guidance

Aiming at the penetration problem of high-speed vehicles against a modified proportional guidance interceptor, three-dimensional mathematical model attack–defense confrontation between vehicle and interceptor is established in this paper. The navigation law included model, control constraints, pitch angle velocity dynamic delay are introduced. Then, performance index optimal established. Under condition considering 180-degree BTT control, analytical solutions speed roll overload obtained according to symmetric Hamilton principle. simulation results show that switching times achieve N − 1, where coefficient interceptor. When maximum [60, 90] degrees per second, effect good. Finally, proposed paper can miss distance more than 5 m when capacity ratio 0.33.