A virtual control concept for state constrained optimal control problems

被引：13
|
作者：
Krumbiegel, K. [1 ]
Roesch, A. [1 ]
机构：
[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICAM, A-4040 Linz, Austria
来源：
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2009年 / 43卷 / 02期
基金：
奥地利科学基金会;
关键词：
Optimal control; Elliptic equation; State constraints; Boundary control; Regularization; Virtual control; EQUATIONS;
D O I：
10.1007/s10589-007-9130-0
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：
A linear elliptic control problem with pointwise state constraints is considered. These constraints are given in the domain. In contrast to this, the control acts only at the boundary. We propose a general concept using virtual control in this paper. The virtual control is introduced in objective, state equation, and constraints. Moreover, additional control constraints for the virtual control are investigated. An error estimate for the regularization error is derived as main result of the paper. The theory is illustrated by numerical tests.
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页码：213 / 233
页数：21
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