为了解决有控火箭弹弹道优化问题,文中提出一种基于Gauss伪谱法的弹道优化设计方法。首先在纵向飞行平面内建立火箭弹运动模型,将运动过程等效为路径约束,以飞行始末状态为边界约束条件,建立起有控火箭弹弹道优化模型。基于Gauss伪谱法将弹道优化问题转化成一系列非线性规划问题并以序列二次规划法求解。最后以某型火箭弹射程为优化指标进行仿真,经优化后在保持飞行稳定的前提下弹道射程明显增加,表明文中所提出的优化设计方法可有效地对弹道进行优化,并且具有收敛速度快的特点。

To solve trajectory optimization problems of controllable rockets, an optimization design method based on Gauss pseudo spectral method was proposed. The motion model of rockets in flight plane was established, the movement of rockets was taken as path constraints, and then the conditions of flight start and end point were taken as boundary constraints, trajectory optimization model was established. This trajectory optimization problem was transformed into a series of nonlinear programming problems based on the Gauss pseudo spectral method and solved by sequential quadratic programming method. Finally, with range as the optimization index, a certain type of rocket was simulated, the trajectory range significantly increased after optimization while the stability of the flight was maintained, which shows the proposed optimization method can effectively optimize trajectory and has a characteristic of fast convergence speed.