Combined homotopy and neighboring extremal optimal control

被引：4
|
作者：
Gupta, Rohit [1 ]
Bloch, Anthony M. [2 ]
Kolmanovsky, Ilya V. [1 ]
机构：
[1] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2017年 / 38卷 / 03期
基金：
美国国家科学基金会;
关键词：
iterative/numerical methods; optimal control; CONJUGATE-POINTS; LIPSCHITZIAN STABILITY;
D O I：
10.1002/oca.2253
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents a new approach to trajectory optimization for nonlinear systems. The method exploits homotopy between a linear system and a nonlinear system and neighboring extremal optimal control, in combination with few iterations of a convergent optimizer at each step, to iteratively update the trajectory as the homotopy parameter changes. To illustrate the proposed method, a numerical example of a three-dimensional orbit transfer problem for a spacecraft is presented. Copyright (C) 2016 John Wiley & Sons, Ltd.
引用
收藏
页码：459 / 469
页数：11
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