Cubic Range Shaping Guidance for Maneuvering Targets with Impact Time Constraint

In this paper, a cubic range shaping guidance with impact time constraint is proposed for intercepting maneuvering targets. To meet the desired impact time, the range dynamics is employed to track the desired range profiles created via a cubic range shaping approach. The coefficients involved in the range profiles are partially solved with boundary conditions. Then, a robust impact time guidance law is constructed to ensure bounded range tracking errors and estimate the target maneuvers as well using inertial delay control and sliding mode control. The implemented guidance law involves a single parameter that is limited in a compact region, thus making it easy to be tuned. Finally, numerical simulations with various cases are conducted to verify the proposed guidance law.