伪谱法及其在飞行器轨迹优化设计领域的应用综述

采用伪谱法进行飞行器轨迹优化设计是近年来的热点研究方向,然而较全面地对各种方法进行综合分析的文献却很少。在对国内外相关文献进行系统研究的基础上,阐述了航空航天领域应用较为广泛的几种伪谱法的基本原理;归纳了伪谱法将连续最优控制问题转化为非线性规划问题的思路和具体步骤;总结了伪谱法在飞行器轨迹优化设计领域的应用情况;对伪谱法及其在飞行器轨迹优化设计领域应用的未来研究方向进行了分析。

Overview of pseudospectral method and its application in trajectory optimum design for flight vehicles

Trajectory optimum design for flight vehicles using pseudo-spectral methods has been a hot research direction in recent years, but studies about the overview of this field are very few. Based on the systematic research of domestic and overseas related literatures, the basic principles of several pseudo-spectral methods which have a wide range of applications in aerospace field were expounded; the thoughts and formulas for transforming continuous optimal control problems into nonlinear programming problems were concluded; the applications of pseudo-spectral method in the trajectory optimum design for flight vehicles were summarized; the development directions of pseudo-spectral method and its application in trajectory optimization design for flight vehicles were discussed.