针对钻地炸弹落角大、质量重、机动能力差的特点,文中采用Gauss伪谱法求解了同时满足路径约束和终端约束条件下的过载最小最优弹道。利用全局插值多项式估计将非线性弹道方程转化为离散的代数约束方程,从而将复杂的非线性最优控制问题转化为非线性规划问题。通过仿真对比得出基于伪谱原理的优化弹道全程过载均匀且最低,较好的实现设计任务,体现了文中的最优弹道设计方法的有效性和应用潜力。

Based on characteristics of large landing angle, heavy quality, and low maneuverability of bunker bomb, Gauss pseudospectral method (GPM) was used for optimal trajectory with minimum overload, satisfying both path constraints and terminal constraints. Global interpolation polynomial was used to transform nonlinear equation into discrete algebraic constraint equation so as to transform complicated nonlinear optimal control problem into nonlinear programming problem (NLP). Our numerical results show that optimal trajectory based on GPM has uniform and minimumoverload and performs better in this task, which reflects effectiveness and application potential of design.