On the Equivalence of Maximum Principle Open-Loop Controllers and Caratheodory Feedback Controllers for Time-Delay Systems

被引：3

作者：

Korvo, H. N. ^{[1
,2
]}

机构：

[1] Univ Minnesota, Dept Elect Engn, Minneapolis, MN 55455 USA

[2] Univ Minnesota, Ctr Control Sci, Minneapolis, MN USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 02期

关键词：

Feedback control; feedback equations; linear-quadratic problems; Riccati equation; time-delay systems;

D O I：

10.1007/BF00932938

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The optimal feedback gain matrix derived from the maximum principle for linear time-delay systems with quadratic cost satisfies an integral equation. On the other hand, if the extended Caratheodory lemma is used to solve the same problem, the optimal feedback gains satisfy a set of partial differential equations. It is shown that the resulting feedback gains are equivalent.

引用

页码：163 / 178

页数：16