Using switching detection and variational equations for the shooting method

被引：35

作者：

Martinon, Pierre ^{[1
]}

Gergaud, Joseph ^{[1
]}

机构：

[1] CNRS, UMR 5505, IRIT, ENSEEIHT, F-31000 Toulouse, France

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2007年 / 28卷 / 02期

关键词：

shooting method; Jacobian evaluation; switching detection; variational equations;

D O I：

10.1002/oca.794

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study in this paper the resolution by single shooting of an optimal control problem with a bang-bang control involving a large number of commutations. We focus oil the handling of these commutations regarding the precise computation of the shooting function and its Jacobian. We first observe the impact of it switching detection algorithm oil the shooting method results. Then, we study the computation of the Jacobian of the shooting function, by comparing classical finite differences to a formulation using the variational equations. We consider its an application a low thrust orbital transfer with payload maximization. This kind of problem presents a discontinuous optimal control, and involves up to 1800 commutations for the lowest thrust. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：95 / 116

页数：22

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