Abstract: Boosted gliders have the advantages of high flight speed, strong breakthrough interception capability, and wide strike range, making them a focus of research for all military countries around the world. Flight mechanics and control trajectory optimization are key technologies for assisting gliding aircraft. This article calculates the re-entry of trajectories using Pontryagin's maximum value theorem, Lagrange multiplier method, and sequential quadratic programming algorithm. The trajectory calculation is processed in parallel to improve the calculation speed and accuracy, and the parallel calculation of multiple shooting methods is achieved. The algorithm uses trapezoidal discretization, establishes Lagrange multiplier functions, and calculates partial derivatives to find the optimal solution for nonlinear programming using the SQP algorithm. This article compared the calculations using Gaussian pseudospectral method and found that setting the same parameters resulted in MATLAB shutting down. The optimized parallel computing based on Lagrange multipliers achieved an acceleration ratio of 1.0599 times, reducing the computation time by approximately 8 seconds. This article also conducted experiments on zero angle of attack reentry using parallel computing, and obtained an acceleration ratio of 2.2437, solving multiple trajectory acceleration calculation problems.This article implements a parallel approach to the Runge Kutta formula and applies it to achieve significant acceleration effects during zero angle reentry.
李思瑶. 一种加约束的零攻角飞行器再入与龙格库塔并行计算算法[J]. 吉林化工学院学报, 2025, 42(9): 67-74.
LI Si-yao. A parallel computation algorithm combining constrained zero-angle-of-attack vehicle reentry and Runge-Kutta method. Journal of Jilin Institute of Chemical Technology, 2025, 42(9): 67-74.
