Numerical solution of optimal control problems using multiple-interval integral Gegenbauer pseudospectral methods

被引：5
作者：
Tang, Xiaojun [1 ]
机构：
[1] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China
来源：
ACTA ASTRONAUTICA | 2016年 / 121卷
关键词：
Optimal control; Pseudospectral methods; Gegenbauer polynomials; Pseudospectral integration matrices; DIRECT TRAJECTORY OPTIMIZATION; COSTATE ESTIMATION; LEGENDRE; QUADRATURE; FRAMEWORK; ACCURATE;
D O I：
10.1016/j.actaastro.2015.12.028
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
The main purpose of this work is to provide multiple-interval integral Gegenbauer pseudospectral methods for solving optimal control problems. The latest developed single-interval integral Gauss/(flipped Radau) pseudospectral methods can be viewed as special cases of the proposed methods. We present an exact and efficient approach to compute the mesh pseudospeCtral integration matrices for the Gegenbauer-Gauss and flipped Gegenbauer-Gauss-Radau points. Numerical results on benchmark optimal control problems confirm the ability of the proposed methods to obtain highly accurate solutions. (C) 2015 IAA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：63 / 75
页数：13
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