Fixed poles of H 2 optimal control by measurement feedback

Jean-François Camart; Basilio del-Muro-Cuéllar; Michel Malabre

Kybernetika (2002)

  • Volume: 38, Issue: 5, page [631]-642
  • ISSN: 0023-5954

Abstract

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This paper is concerned with the flexibility in the closed loop pole location when solving the H 2 optimal control problem (also called the H 2 optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the H 2 optimal control problem. These “ H 2 optimal fixed poles” are characterized in geometric as well as structural terms. A procedure to design H 2 optimal controllers which simultaneously freely assign all the remaining poles, is also provided.

How to cite

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Camart, Jean-François, del-Muro-Cuéllar, Basilio, and Malabre, Michel. "Fixed poles of $H_2$ optimal control by measurement feedback." Kybernetika 38.5 (2002): [631]-642. <http://eudml.org/doc/33609>.

@article{Camart2002,
abstract = {This paper is concerned with the flexibility in the closed loop pole location when solving the $H_2$ optimal control problem (also called the $H_2$ optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the $H_2$ optimal control problem. These “$H_2$ optimal fixed poles” are characterized in geometric as well as structural terms. A procedure to design $H_2$ optimal controllers which simultaneously freely assign all the remaining poles, is also provided.},
author = {Camart, Jean-François, del-Muro-Cuéllar, Basilio, Malabre, Michel},
journal = {Kybernetika},
keywords = {measurement feedback solution; fixed pole; measurement feedback solution; fixed pole},
language = {eng},
number = {5},
pages = {[631]-642},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fixed poles of $H_2$ optimal control by measurement feedback},
url = {http://eudml.org/doc/33609},
volume = {38},
year = {2002},
}

TY - JOUR
AU - Camart, Jean-François
AU - del-Muro-Cuéllar, Basilio
AU - Malabre, Michel
TI - Fixed poles of $H_2$ optimal control by measurement feedback
JO - Kybernetika
PY - 2002
PB - Institute of Information Theory and Automation AS CR
VL - 38
IS - 5
SP - [631]
EP - 642
AB - This paper is concerned with the flexibility in the closed loop pole location when solving the $H_2$ optimal control problem (also called the $H_2$ optimal disturbance attenuation problem) by proper measurement feedback. It is shown that there exists a precise and unique set of poles which is present in the closed loop system obtained by any measurement feedback solution of the $H_2$ optimal control problem. These “$H_2$ optimal fixed poles” are characterized in geometric as well as structural terms. A procedure to design $H_2$ optimal controllers which simultaneously freely assign all the remaining poles, is also provided.
LA - eng
KW - measurement feedback solution; fixed pole; measurement feedback solution; fixed pole
UR - http://eudml.org/doc/33609
ER -

References

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