A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

Ruth Curtain; O.V. Iftime; Heiko J. Zwart

doi:10.1016/j.automatica.2010.06.030

A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

Ruth Curtain, O.V. Iftime, Heiko J. Zwart

Research output: Contribution to journal › Article › Academic › peer-review

24 Citations (Scopus)

7 Downloads (Pure)

Abstract

In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.

Original language	Undefined
Pages (from-to)	1604-1615
Number of pages	12
Journal	Automatica
Volume	46
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2010.06.030
Publication status	Published - Oct 2010

Keywords

EWI-18947
MSC-93C25
Infinite-dimensional systems
Linear systems
IR-75071
Spatially distributed systems
Spatially invariant systems
METIS-276719
LQR control

Access to Document

10.1016/j.automatica.2010.06.030

http://eprints.eemcs.utwente.nl/secure2/18947/01/Automatica_2010_Curtain.pdf

Cite this

@article{fa50dafc4efe45a38a3dde6e4a270fe0,

title = "A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version",

abstract = "In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.",

keywords = "EWI-18947, MSC-93C25, Infinite-dimensional systems, Linear systems, IR-75071, Spatially distributed systems, Spatially invariant systems, METIS-276719, LQR control",

author = "Ruth Curtain and O.V. Iftime and Zwart, {Heiko J.}",

note = "10.1016/j.automatica.2010.06.030 ",

year = "2010",

month = oct,

doi = "10.1016/j.automatica.2010.06.030",

language = "Undefined",

volume = "46",

pages = "1604--1615",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier",

number = "10",

}

TY - JOUR

T1 - A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version

AU - Curtain, Ruth

AU - Iftime, O.V.

AU - Zwart, Heiko J.

N1 - 10.1016/j.automatica.2010.06.030

PY - 2010/10

Y1 - 2010/10

N2 - In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.

AB - In this paper we consider a long string of SISO systems which in the limit becomes a scalar infinite spatially invariant system. We compare the LQR control for long-but-finite strings with the LQR control for the corresponding infinite strings. We give analytical and numerical examples where these are quite different and we investigate the cause. In addition, we obtain sufficient conditions for the LQR solutions to be similar as the length of the string increases.

KW - EWI-18947

KW - MSC-93C25

KW - Infinite-dimensional systems

KW - Linear systems

KW - IR-75071

KW - Spatially distributed systems

KW - Spatially invariant systems

KW - METIS-276719

KW - LQR control

U2 - 10.1016/j.automatica.2010.06.030

DO - 10.1016/j.automatica.2010.06.030

M3 - Article

SN - 0005-1098

VL - 46

SP - 1604

EP - 1615

JO - Automatica

JF - Automatica

IS - 10

ER -