Revisit of Linear-Quadratic Optimal Control

被引：3
|
作者：
Pachter, M. [1 ]
机构：
[1] USAF, Inst Technol, Dept Elect & Comp Engn, AFIT ENG, Wright Patterson AFB, OH 45433 USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 140卷 / 02期
关键词：
Linear quadratic control; Feedback control;
D O I：
10.1007/s10957-008-9449-4
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 classical finite-dimensional linear-quadratic optimal control problem is revisited. A new linear-quadratic control problem with linear state penalty terms but without quadratic state penalty terms, is introduced. An optimal control exists and the closed-form optimal solution is given. It is remarkable that feedback action plays no role and state information does not feature in the optimal control. The optimal cost function, rather than being quadratic, is linear in the initial state.
引用
收藏
页码：301 / 314
页数：14
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