Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations

被引：150

作者：

Atwell, JA ^{[1
]}

King, BB ^{[1
]}

机构：

[1] Virginia Tech, Interdisciplinary Ctr Appl Math, Ctr Optimal Design & Control, Blacksburg, VA 24061 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2001年 / 33卷 / 1-3期

关键词：

proper orthogonal decomposition; principal component analysis; Karhunen-Loeve expansion; heat equation; feedback control;

D O I：

10.1016/S0895-7177(00)00225-9

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we present a discussion of the proper orthogonal decomposition (POD) as applied to simulation and feedback control of the one-dimensional heat equation. We provide two examples of input collections to which the POD process is applied. First, we apply POD directly to the finite element basis of linear B-splines. Next, we additionally include time snapshots. We show that although the second case provides better simulations, this POD basis is in-suited for control problems. We provide a discussion of both the linear quadratic regulator (LQR) problem, and the linear quadratic Gaussian (LQG) problem. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：1 / 19

页数：19

共 16 条

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