Command Shaping Optimal Guidance Laws Against High-Speed Incoming Targets

A generalized optimal solution for a first-order system lag is derived. The proposed guidance command exponentially decreases as the time-to-go moves to zero. According to the selection of possible weighting functions, the proposed guidance law can satisfy that the time derivative of the guidance command is zero at the terminal time. This property is useful to enhance the robustness against the time-to-go error. The characteristics and performance of the proposed guidance law are investigated through numerical simulations. The simulation results reveal that the proposed guidance law can more effectively address the challenging problems than other guidance laws. In addition, the presented solution of the optimal guidance law can be further extended to general guidance problems considering the specific guidance command shape and the system lag.