Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition

被引：0

作者：

K. Kunisch

S. Volkwein

机构：

[1] Karl-Franzens-Universität Graz,Institut für Mathematik

[2] Karl-Franzens-Universität Graz,Institut für Mathematik

来源：

Journal of Optimization Theory and Applications | 1999年 / 102卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：26

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