A Predictor–corrector Entry Guidance Method Using Gaussian Integration

To solve the reentry guidance problem of lift vehicle, a predictor–corrector entry guidance method using Gaussian integration is proposed. First, a simplified dynamic differential model is established. Second, when the angle-of-attack command for the guidance control variable is fixed as a function of velocity, the range corresponding to the bank angle profile is predicted by Gauss integral, instead of numerical integration, and the bank of angle command for another guidance control variable matched with the range to go can be solved by the Newton–Raphson iteration. In order to prevent altitude jump, the feedback of altitude change rate is added to the command profile of the bank angle. Finally, lateral guidance is realized by limiting the heading angle error in the corridor, and the simulation is carried out for the given condition. The results show that the method performs well: the calculation time of the proposed method to complete a predictor–corrector calculation is less than 20ms, and the method has a high accuracy for terminal altitude, terminal velocity, and terminal position.