Reduced order control based on approximate inertial manifolds

被引：7

作者：

Ito, Kazufumi

Kunisch, Karl

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Graz Univ Technol, Inst Math, A-8010 Graz, Austria

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 415卷 / 2-3期

基金：

奥地利科学基金会;

关键词：

reduced order method; approximate inertial manifold; LQR-problern; decomposition of state space; infinite-dimensional system;

D O I：

10.1016/j.laa.2004.10.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A reduced-order method based on approximate inertial manifolds is applied to optimal control problems in infinite-dimensional state spaces. A detailed analysis of the method is given for the linear quadratic regulator problem. The method can also be applied to higher-order control systems with an appropriate decomposition of the state space in terms of slow and fast exponential decay. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：531 / 541

页数：11

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