基于升阻比-速度剖面的解析再入制导方法

An analytical reentry guidance method based on the lift-to-drag ratio and velocity profile was proposed to address the challenges of precise flight time control and prohibited area avoidance for the hypersonic glide flight vehicle during the reentry phase. A reduced-order reentry motion model was established; the Chebyshev series was used to approximate its nonlinear integral terms and differential equations; analytical expressions for the glide trajectory were yielded. The analytical relationships among flight time, remaining range, and the lift-to-drag ratio and velocity profile were derived. The optimization problem of lift-to-drag ratio and velocity profile was converted into a segmented parameter optimization problem for the angle-of-attack and velocity profile. An online update mechanism was designed to adjust the lift-to-drag ratio profile in real time and combined with the adaptive lateral guidance law based on the improved artificial potential field method, to satisfy both flight time and prohibited area constraints while satisfying conventional reentry constraints. Simulation results demonstrate that the proposed method can effectively coordinate the terminal arrival time sequence of multiple flight vehicles and reliably avoid multiple prohibited areas.