arrow
返回

Model predictive control using reduced order models: Guaranteed stability for constrained linear systems

delete2014-11-01
delete30
PRE
AI
M
Martin Löhning *
J
Jan Hasenauer
S
Shuyou Yu
F
Frank Allgöwer
DOI:10.1016/j.jprocont.2014.07.006delete
delete原文链接
delete原文求助
delete分享
delete收藏
摘要

摘要

En 中文
The problem of controlling a high-dimensional linear system subject to hard input and state constraints using model predictive control is considered. Applying model predictive control to high-dimensional systems typically leads to a prohibitive computational complexity. Therefore, reduced order models are employed in many applications. This introduces an approximation error which may deteriorate the closed loop behavior and may even lead to instability. We propose a novel model predictive control scheme using a reduced order model for prediction in combination with an error bounding system. We employ the explicit time and input dependent bound on the model order reduction error to achieve design conditions for constraint fulfillment, recursive feasibility and asymptotic stability for the closed loop of the model predictive controller when applied to the high-dimensional system. Moreover, for a special choice of design parameters, we establish local optimality of the proposed model predictive control scheme. The proposed MPC approach is assessed via examples demonstrating that a good trade-off between computational efficiency and conservatism can be achieved while guaranteeing constraint satisfaction and asymptotic stability. (C) 2014 Elsevier Ltd. All rights reserved.
Keyword:
Model predictive control
Large-scale linear system
Model order reduction
Reduction error bound
Stability
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Journal of Process Control 封面图
Journal of Process Control
IF:
3.9
论文数:
3.5K
被引数:
7.3K

机构

U
University of Stuttgart
学者数:
1.1W
论文数: 9.4K
被引数: 1.3W
B
BASF
学者数:
3.3K
论文数: 2.6K
被引数: 6
H
Helmholtz Association
学者数:
13.2W
论文数: 10.7W
被引数: 145
T
Technical University of Munich
学者数:
5.2W
论文数: 3.9W
被引数: 6.2W
学者 查看更多机构
引用论文

引用论文

err分享
err收藏
err分享
err收藏
err分享
err收藏
err分享
err收藏
Dynamical optimization using reduced order models: A method to guarantee performance
err2012-09-01
err13
PREAI
errHasenauer, Jan; Loehning, Martin; Khammash, Mustafa; Allgoewer, Frank
err分享
err收藏
学者 查看更多内容