New results on pseudospectral methods for optimal control

被引：13

作者：

Tang, Xiaojun ^{[1
]}

Liu, Zhenbao ^{[1
]}

Hu, Yu ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China

来源：

AUTOMATICA | 2016年 / 65卷

关键词：

Optimal control; Pseudospectral methods; Equivalence; BARYCENTRIC LAGRANGE INTERPOLATION; SPECTRAL INTERPOLATION; COLLOCATION METHOD; COSTATE ESTIMATION; QUADRATURE NODES; GAUSS-LEGENDRE; WEIGHTS; SUPERCONVERGENCE; COMPUTATION; STABILITY;

D O I：

10.1016/j.automatica.2015.11.035

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, the equivalence between differential and integral pseudospectral methods is justified from the distinctive perspective of Birkhoff interpolation for collocation at the Jacobi-Gauss and flipped Jacobi-Gauss-Radau points. Furthermore, an exact, efficient, and stable approach is presented for computing the associated pseudospectral differentiation integration matrices even at millions of points. These new results will contribute to the deeper understanding of pseudospectral methods and their practical applications in optimal control. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：160 / 163

页数：4

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