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.
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页码：531 / 541
页数：11
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