Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition

被引：299

作者：

Kunisch, K ^{[1
]}

Volkwein, S ^{[1
]}

机构：

[1] Karl Franzens Univ Graz, Math Inst, Graz, Austria

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 102卷 / 02期

关键词：

open-loop optimal control; closed-loop optimal control; Burgers equation; proper orthogonal decomposition;

D O I：

10.1023/A:1021732508059

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：

Proper orthogonal decomposition (POD) is a method to derive reduced-order models for dynamical systems. In this paper, POD is utilized to solve open-loop and closed-loop optimal control problems for the Burgers equation. The relative simplicity of the equation allows comparison of POD-based algorithms with numerical results obtained from finite-element discretization of the optimality system. For closed-loop control, suboptimal state feedback strategies are presented.

引用

页码：345 / 371

页数：27

共 18 条

[1] PRESERVING SYMMETRIES IN THE PROPER ORTHOGONAL DECOMPOSITION [J].