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Robust Multivariable PI-Controller for Infinite-Dimensional Systems

Tutkimustuotosvertaisarvioitu

Standard

Robust Multivariable PI-Controller for Infinite-Dimensional Systems. / Pohjolainen, Seppo A.

julkaisussa: IEEE Transactions on Automatic Control, Vuosikerta 27, Nro 1, 1982, s. 17-30.

Tutkimustuotosvertaisarvioitu

Harvard

Pohjolainen, SA 1982, 'Robust Multivariable PI-Controller for Infinite-Dimensional Systems', IEEE Transactions on Automatic Control, Vuosikerta. 27, Nro 1, Sivut 17-30. https://doi.org/10.1109/TAC.1982.1102887

APA

Pohjolainen, S. A. (1982). Robust Multivariable PI-Controller for Infinite-Dimensional Systems. IEEE Transactions on Automatic Control, 27(1), 17-30. https://doi.org/10.1109/TAC.1982.1102887

Vancouver

Pohjolainen SA. Robust Multivariable PI-Controller for Infinite-Dimensional Systems. IEEE Transactions on Automatic Control. 1982;27(1):17-30. https://doi.org/10.1109/TAC.1982.1102887

Author

Pohjolainen, Seppo A. / Robust Multivariable PI-Controller for Infinite-Dimensional Systems. Julkaisussa: IEEE Transactions on Automatic Control. 1982 ; Vuosikerta 27, Nro 1. Sivut 17-30.

Bibtex - Lataa

@article{7927f771b064484c81df949bb04f34fd,
title = "Robust Multivariable PI-Controller for Infinite-Dimensional Systems",
abstract = "A robust multivariable controller is introduced for a class of distributed parameter systems. The system to be controlled is given as \dot{x} = Ax + Bu, y = Cx in a Banach space. The purpose of the control, which is based on the measurement y , is to stabilize and regulate the system so that y(t) \rightarrow y_{r}, as t \rightarrow \infty , where yris a constant reference vector. Under the assumptions that operator A generates a holomorphic stable semigroup, B is linear and bounded, C is linear and A -bounded, and the input and output spaces are of the same dimension; a necessary and sufficient condition is found for the existence of a robust multivariable controller. This controller appears to be a multivariable PI-controller. Also, a simple necessary criterion for the existence of a decentralized controller is derived. The tuning of the controller is discussed and it is shown that the I-part of the controller can be tuned on the basis of step responses, without exact knowledge of the system's parameters. The presented theory is then used as an example to control the temperature profile of a bar, with the Dirichlet boundary conditions.",
author = "Pohjolainen, {Seppo A.}",
year = "1982",
doi = "10.1109/TAC.1982.1102887",
language = "English",
volume = "27",
pages = "17--30",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers",
number = "1",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Robust Multivariable PI-Controller for Infinite-Dimensional Systems

AU - Pohjolainen, Seppo A.

PY - 1982

Y1 - 1982

N2 - A robust multivariable controller is introduced for a class of distributed parameter systems. The system to be controlled is given as \dot{x} = Ax + Bu, y = Cx in a Banach space. The purpose of the control, which is based on the measurement y , is to stabilize and regulate the system so that y(t) \rightarrow y_{r}, as t \rightarrow \infty , where yris a constant reference vector. Under the assumptions that operator A generates a holomorphic stable semigroup, B is linear and bounded, C is linear and A -bounded, and the input and output spaces are of the same dimension; a necessary and sufficient condition is found for the existence of a robust multivariable controller. This controller appears to be a multivariable PI-controller. Also, a simple necessary criterion for the existence of a decentralized controller is derived. The tuning of the controller is discussed and it is shown that the I-part of the controller can be tuned on the basis of step responses, without exact knowledge of the system's parameters. The presented theory is then used as an example to control the temperature profile of a bar, with the Dirichlet boundary conditions.

AB - A robust multivariable controller is introduced for a class of distributed parameter systems. The system to be controlled is given as \dot{x} = Ax + Bu, y = Cx in a Banach space. The purpose of the control, which is based on the measurement y , is to stabilize and regulate the system so that y(t) \rightarrow y_{r}, as t \rightarrow \infty , where yris a constant reference vector. Under the assumptions that operator A generates a holomorphic stable semigroup, B is linear and bounded, C is linear and A -bounded, and the input and output spaces are of the same dimension; a necessary and sufficient condition is found for the existence of a robust multivariable controller. This controller appears to be a multivariable PI-controller. Also, a simple necessary criterion for the existence of a decentralized controller is derived. The tuning of the controller is discussed and it is shown that the I-part of the controller can be tuned on the basis of step responses, without exact knowledge of the system's parameters. The presented theory is then used as an example to control the temperature profile of a bar, with the Dirichlet boundary conditions.

U2 - 10.1109/TAC.1982.1102887

DO - 10.1109/TAC.1982.1102887

M3 - Article

VL - 27

SP - 17

EP - 30

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 1

ER -