Necessary and sufficient conditions for optimal control problems with multiple terminal constraints

被引：0

作者：

Jo, JW ^{[1
]}

Prussing, JE ^{[1
]}

机构：

[1] Univ Illinois, Dept Aeronaut & Astronaut Engn, Talbot Lab 306C, Urbana, IL 61801 USA

来源：

SPACEFLIGHT MECHANICS 1998, VOL 99, PTS 1 AND 2 | 1998年 / 99卷

关键词：

D O I：

暂无

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

In the case of multiple terminal constraints, the procedure for applying second-order necessary and sufficient conditions is slightly more complicated than in the scalar case. The modified procedure is explained and three example problems are analyzed: a minimum-time problem, the shortest path between two points on a sphere, and an application of Hamilton's Principle to a circular orbit in an inverse-square gravitational field. When the circular orbit violates the second-order conditions, a genetic algorithm is used to determine an alternate path of lower cost.

引用

页码：883 / 905

页数：23

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