Abstract:

For hypersonic gliding problem, a gliding guidance approach based on energy and analytical predictor corrector is proposed. In this approach, the gliding guidance is divided into two parts: longitudinal guidance and lateral guidance. In the longitudinal guidance, analytical mathematical formulas of range-to-go and energy, bank angle are established based on quasi-equilibrium gliding condition to analytically predict range-to-go, and then the bank angle magnitude is calculated online through the correct algorithm to satisfy the range-to-go and energy request. An angle of attack adjustment algorithm based on altitude is proposed to achieve quasi-equilibrium gliding and make sure that the terminal altitude and velocity constraints are met. In the lateral guidance, a lateral threshold based on cross range and range-to-go is proposed to determine the sign of bank angle command and control terminal heading error. Compared with the traditional numerical predictor corrector guidance method, the calculation cost of the proposed approach is significantly reduced, and the guidance precision and adaptation are good.