Coherent LQG control for a class of linear complex quantum systems

Aline I. Maalouf; Ian R. Petersen

doi:10.23919/ecc.2009.7074743

Coherent LQG control for a class of linear complex quantum systems

Aline I. Maalouf, Ian R. Petersen

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

8 Citations (Scopus)

Abstract

This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2271-2276
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7074743
Publication status	Published - 26 Mar 2014
Externally published	Yes
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

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10.23919/ecc.2009.7074743

Cite this

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title = "Coherent LQG control for a class of linear complex quantum systems",

abstract = "This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.",

keywords = "LMI, LQG control, Lossless bounded real LQG controller, Quantum controller realization, Quantum feedback control, Quantum optics",

author = "Maalouf, \{Aline I.\} and Petersen, \{Ian R.\}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074743",

language = "English",

series = "2009 European Control Conference, ECC 2009",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "2271--2276",

booktitle = "2009 European Control Conference, ECC 2009",

address = "United States",

url = "http://ieeexplore.ieee.org/document/7074402/, http://ieeexplore.ieee.org/document/7074461/",

}

Maalouf, AI & Petersen, IR 2014, Coherent LQG control for a class of linear complex quantum systems. in 2009 European Control Conference, ECC 2009., 7074743, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 2271-2276, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074743

Coherent LQG control for a class of linear complex quantum systems. / Maalouf, Aline I.; Petersen, Ian R.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 2271-2276 7074743 (2009 European Control Conference, ECC 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

TY - GEN

T1 - Coherent LQG control for a class of linear complex quantum systems

AU - Maalouf, Aline I.

AU - Petersen, Ian R.

N1 - Conference code: 10th

PY - 2014/3/26

Y1 - 2014/3/26

N2 - This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.

AB - This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.

KW - LMI

KW - LQG control

KW - Lossless bounded real LQG controller

KW - Quantum controller realization

KW - Quantum feedback control

KW - Quantum optics

UR - https://www.scopus.com/pages/publications/84955171772

U2 - 10.23919/ecc.2009.7074743

DO - 10.23919/ecc.2009.7074743

M3 - Conference Paper

T3 - 2009 European Control Conference, ECC 2009

SP - 2271

EP - 2276

BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th European Control Conference: ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

Coherent LQG control for a class of linear complex quantum systems

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