Fast Perturbation-Compensation-Oriented Trajectory Planning Correction Strategy

Abstract

An efficient trajectory planning correction strategy and its corresponding algorithm for the glide trajectory of a hypersonic glide vehicle are initially proposed to compensate the deviations due to perturbations which can be determined beforehand. The proposed strategy evolves the traditional acceleration-based trajectory planning into a high-fidelity one with perturbation compensations by correcting the parameters of C1 and C2 , which are named planning data and can modify the drag profile. To derive the mathematic representation of the terminal state deviations induced by perturbations, the ballistic perturbation theory is employed to develop the error propagation model for the glide trajectory. The semi-analytic mathematic relation of the planning data correction quantities and the terminal state deviations are deduced in a “transposed-pole†coordinate system. Taking the gravity anomaly along a glide trajectory which is computed by the 1080-order Spherical Harmonics as the single perturbation factor the performance of the proposed method is validated and verified. The simulation results indicate that the corrected planning outperforms the traditional one, with a reduced terminal positional deviation of about 1km and a nearly twentyfold enhanced terminal precision. The proposed strategy can correct the deviations of any glide trajectories due to arbitrary single/multiple predetermined perturbations efficiently and effectively. The semi-analytic representation of the correction quantities with respective to the perturbations allow it to reveal the error propagation mechanism and thus restrain the perturbation deviations.