Robust Predictor-Corrector Terminal Trajectory Shaping Guidance Algorithm Design

The design of a robust predictor-corrector trajectory shaping guidance (PCTSG) system with a desired body attitude angle at impact is proposed. The novel guidance goals are 1) to minimize the final miss distance between target and interceptor, 2) to ensure that the missile approaches target at certain strike angles to improve lethality, 3) to require the vehicle to use minimum energy to hit the target, and 4) to achieve high robustness vis-a-vis severe parameter dispersion effects resulting from aerodynamic coefficient errors. Numerical tests show that this proposed guidance scheme exhibits high performance and high robustness against the stationary target. Compared to the optimal trajectory shaping law through simulation, the results demonstrate that this PCTSG algorithm performs more advanced, due to two factors: 1) the attack time from launch to hitting the target decreases, 2) the required acceleration command is almost linear and much less.