Improved differential geometric guidance commands for endoatmospheric interception of high-speed targets

Pure proportional navigation (PPN) is suitable for endoatmospheric interceptions, for its commanded acceleration is perpendicular to interceptor velocity. However, if the target is much faster than the interceptor, the homing performance of PPN will be degraded badly. True proportional navigation (TPN) does not have this problem, but its commanded acceleration is perpendicular to the line of sight (LOS), which is not suitable for endoatmospheric interceptions. The commanded acceleration of differential geometric guidance commands (DGGC) is perpendicular to the interceptor velocity, while the homing performance approximates the LOS referenced guidance laws (PPN series). Therefore, DGGC is suitable for endoatmospheric interception of high-speed targets. However, target maneuver information is essential for the construction of DGGC, and the guidance commands are complex and may be without robustness. Through the deep analysis of three-dimensional engagement, a new construction method of DGGC is proposed in this paper. The target maneuver information is not needed any more, and the robustness of DGGC is guaranteed, which makes the application of DGGC possible.

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