Firing Data Design for the Midcourse Interceptor with Complex Flight Program

A rapid design algorithm is proposed to determine the firing data of a four-stage midcourse interceptor covering height from 400 km to 3000 km, taking flight time, mobile launcher and landing positions of engine debris as constraints. Firstly, the necessity of numerical trajectory is analyzed in the case of complex flight program. Then, a novel design scheme is proposed and divided into two parts, namely, predesign and designing. In predesign phase, the step size of firing data is determined on the sensitivity of trajectory to firing data, resulting from uniform design and first-order difference quotient. Afterwards, the ascent trajectories of interceptor are calculated ergodic to establish state table and boundary table with the division of killing zone. During designing phase, the existence of solution to the mission is analyzed by boundary table and average energy method firstly. Then, initial guesses of firing data can be obtained from online table, which is formed by calculating trajectories ergodic according to boundary table. Finally, these initial guesses can be refined by Levenberg-Marquardt method for more accurate performance. Simulation results verify effectiveness of the proposed design algorithm.