南京航空航天大学学报（英文版）2024，Vol.41Issue(z1)：52-59,8.DOI:10.16356/j.1005-1120.2024.S.007
基于三角正则化和延拓法的高超声速飞行器时间最优控制
Trigonometric Regularization and Continuation Method Based Time-Optimal Control of Hypersonic Vehicles
摘要
Abstract
Aiming at the time-optimal control problem of hypersonic vehicles(HSV)in ascending stage,a trigonometric regularization method(TRM)is introduced based on the indirect method of optimal control.This method avoids analyzing the switching function and distinguishing between singular control and bang-bang control,where the singular control problem is more complicated.While in bang-bang control,the costate variables are unsmooth due to the control jumping,resulting in difficulty in solving the two-point boundary value problem(TPBVP)induced by the indirect method.Aiming at the easy divergence when solving the TPBVP,the continuation method is introduced.This method uses the solution of the simplified problem as the initial value of the iteration.Then through solving a series of TPBVP,it approximates to the solution of the original complex problem.The calculation results show that through the above two methods,the time-optimal control problem of HSV in ascending stage under the complex model can be solved conveniently.关键词
高超声速飞行器/最优控制/三角正则化法/延拓法Key words
hypersonic vehicle(HSV)/optimal control/trigonometric regularization method(TRM)/continuation method分类
航空航天引用本文复制引用
林裕杰,韩艳铧..基于三角正则化和延拓法的高超声速飞行器时间最优控制[J].南京航空航天大学学报（英文版）,2024,41(z1):52-59,8.基金项目
This study was supported by the Na-tional Natural Science Foundation of China(No.52272369). （No.52272369）
