基于Gauss伪谱法的滑翔弹道快速优化

摘要

A Gauss pseudospectral method was presented for rapidly optimizing traj ectory of extended range proj ectile.The flight time was taken as the performance function,and a virtual control variable was introduced and selected as the optimal variable by considering first-order dynamic-lag.The end traj ectory slope angle and velocity were also restrained for the guarantee of attack effect,and finally the traj ectory optimization model was established and transcribed into a discrete nonlinear programming problem(NLP),which was solved by well-developed algorithms, and it was compared with the direct shooting method.The simulation result shows that an optimal traj ectory satisfying all the constraints in a short time can be obtained by the Gauss pseudospectral method,and has a potential capacity for online optimization.%针对远程精确制导炮弹弹道优化问题，给出了一种基于 Gauss 伪谱法的滑翔弹道快速优化方法。以制导炮弹飞行时间为性能指标，考虑一阶动力学滞后，引入虚拟控制量，并将其作为优化变量，为保证攻击效果，对滑翔末端弹道倾角和速度值进行了约束，建立了纵向平面内弹道优化模型。利用 Gauss 伪谱法对状态量和控制量进行了离散，将最优控制问题转换为非线性规划问题，并利用序列二次规划法对其进行了求解，最后将求解结果与传统的直接打靶法进行了对比。结果表明，该方法具有较高的优化效率，能够快速计算出满足各种约束的滑翔弹道，具有在线优化的潜力。