基于Gauss伪谱法的助推-滑翔飞行器多阶段约束轨迹优化(英文)  

Multiphase Path-Constrained Trajectory Optimization for the Boost-Glide Vehicle Via the Gauss Pseudospectral Method

作　　者：关成启[1] 陈聪[1] 

机构地区：[1]北京机电工程研究所,北京100074

出　　处：《宇航学报》2010年第11期2512-2518,共7页Journal of Astronautics

摘　　要：在同时存在路径约束和边界条件时确定助推-滑翔飞行器的最优运动轨迹是近年来的热点问题。本文讨论了助推-滑翔飞行器的具有最大纵向航程和横向航程的两种最优轨迹。Gauss伪谱法是由Benson和Huntington提出的,在求解复杂的最优控制问题时有较快的收敛速度并能提供高精度的解。文中介绍了该方法并利用其将轨迹优化问题变换为可由NLP求解器进行数值求解的非线性规划问题。文中还介绍了其它相关的技术,例如端点控制的计算方法、处理包含奇异弧段的多阶段问题的处理方法、获得初始猜测值的方法和验证结果的方法等。仿真结果可以说明在给定的热流、过载和动压约束下最优轨迹的若干关键特性。通过优化和仿真计算,同时证明了此方法的实用性和有效性。The trajectory optimization problem for the boost-glide vehicle with both path constraints and two points boundary conditions is a hot spot in recent years.Both trajectories whose downrange and the crossrange of a boost-glide vehicle are maximized and studied in this paper.The Gauss pseudospectral method proposed by Benson and Huntington,which can converge fast and provide highly accurate solutions in solving complicated optimal control problems,is presented and introduced to transcribe the trajectory optimization problems into nonlinear programming problems（NLP） being solved numerically by NLP solver.Several other correlative techniques such as approaches to compute the boundary control,to handle with the multiphase problem containing singular arcs,to obtain the initial guesses and to verify the numerical solution are also described.The results illustrate some key features of the optimal trajectories satisfying the given heat flux,overload and dynamic pressure constraints.The applicability and effectiveness of this approach are demonstrated through the optimization and simulation results.

关 键 词：轨迹优化 最优控制 Gauss伪谱方法 助推-滑翔飞行器 直接变换法 

分 类 号：V448[航空宇航科学与技术—飞行器设计]