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; H.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
, H.J. Zwart

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

26 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	English
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

n/a OA procedure
MSC-93C25
Infinite-dimensional systems
Linear systems
Spatially distributed systems
Spatially invariant systems
LQR control

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10.1016/j.automatica.2010.06.030

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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.",

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AU - Curtain, Ruth

AU - Iftime, O.V.

AU - Zwart, H.J.

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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 - n/a OA procedure

KW - MSC-93C25

KW - Infinite-dimensional systems

KW - Linear systems

KW - Spatially distributed systems

KW - Spatially invariant systems

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 -

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

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Keywords

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