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

Ruth Curtain; Orest Iftime; Hans 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, Orest Iftime^*, Hans Zwart

^*Corresponding author for this work

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

25 Citations (Scopus)

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. (C) 2010 Elsevier Ltd. All rights reserved.

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

Linear systems
Infinite-dimensional systems
LQR control
Spatially invariant systems
Spatially distributed systems
OPTIMAL ERROR REGULATION
MOVING VEHICLES

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A comparison between LQR control for a long string of SISO systems and LQR
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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. (C) 2010 Elsevier Ltd. All rights reserved.",

keywords = "Linear systems, Infinite-dimensional systems, LQR control, Spatially invariant systems, Spatially distributed systems, OPTIMAL ERROR REGULATION, MOVING VEHICLES",

author = "Ruth Curtain and Orest Iftime and Hans Zwart",

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AU - Curtain, Ruth

AU - Iftime, Orest

AU - Zwart, Hans

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. (C) 2010 Elsevier Ltd. All rights reserved.

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. (C) 2010 Elsevier Ltd. All rights reserved.

KW - Linear systems

KW - Infinite-dimensional systems

KW - LQR control

KW - Spatially invariant systems

KW - Spatially distributed systems

KW - OPTIMAL ERROR REGULATION

KW - MOVING VEHICLES

U2 - 10.1016/j.automatica.2010.06.030

DO - 10.1016/j.automatica.2010.06.030

M3 - Article

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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