Mixed LQG and H∞ coherent feedback control for linear quantum systems

Lei Cui; Zhiyuan Dong; Guofeng Zhang; Heung Wing Joseph Lee

doi:10.1080/00207179.2016.1260162

Mixed LQG and H_∞ coherent feedback control for linear quantum systems

Lei Cui
, Zhiyuan Dong
, Guofeng Zhang^*
, Heung Wing Joseph Lee

^*Corresponding author for this work

Hong Kong Polytechnic University

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

7 Scopus citations

Abstract

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and H_∞ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as ‘coherent feedback controller’. A lower bound of the LQG control is proved. Then two different methods, rank-constrained linear matrix inequality method and genetic algorithm are for controller design. A passive system (cavity) and a non-passive one (degenerate parametric amplifier) demonstrate the effectiveness of these two proposed algorithms.

Original language	English
Pages (from-to)	2575-2588
Number of pages	14
Journal	International Journal of Control
Volume	90
Issue number	12
DOIs	https://doi.org/10.1080/00207179.2016.1260162
State	Published - 2 Dec 2017
Externally published	Yes

Keywords

Coherent feedback control
H control
LQG control
genetic algorithm
rank-constrained LMI method

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10.1080/00207179.2016.1260162

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title = "Mixed LQG and H∞ coherent feedback control for linear quantum systems",

abstract = "The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and H∞ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as {\textquoteleft}coherent feedback controller{\textquoteright}. A lower bound of the LQG control is proved. Then two different methods, rank-constrained linear matrix inequality method and genetic algorithm are for controller design. A passive system (cavity) and a non-passive one (degenerate parametric amplifier) demonstrate the effectiveness of these two proposed algorithms.",

keywords = "Coherent feedback control, H control, LQG control, genetic algorithm, rank-constrained LMI method",

author = "Lei Cui and Zhiyuan Dong and Guofeng Zhang and Lee, \{Heung Wing Joseph\}",

note = "Publisher Copyright: {\textcopyright} 2016 Informa UK Limited, trading as Taylor \& Francis Group.",

year = "2017",

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doi = "10.1080/00207179.2016.1260162",

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AU - Cui, Lei

AU - Dong, Zhiyuan

AU - Zhang, Guofeng

AU - Lee, Heung Wing Joseph

PY - 2017/12/2

Y1 - 2017/12/2

N2 - The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and H∞ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as ‘coherent feedback controller’. A lower bound of the LQG control is proved. Then two different methods, rank-constrained linear matrix inequality method and genetic algorithm are for controller design. A passive system (cavity) and a non-passive one (degenerate parametric amplifier) demonstrate the effectiveness of these two proposed algorithms.

AB - The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and H∞ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as ‘coherent feedback controller’. A lower bound of the LQG control is proved. Then two different methods, rank-constrained linear matrix inequality method and genetic algorithm are for controller design. A passive system (cavity) and a non-passive one (degenerate parametric amplifier) demonstrate the effectiveness of these two proposed algorithms.

KW - Coherent feedback control

KW - H control

KW - LQG control

KW - genetic algorithm

KW - rank-constrained LMI method

UR - https://www.scopus.com/pages/publications/85000643974

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DO - 10.1080/00207179.2016.1260162

M3 - 文章

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VL - 90

SP - 2575

EP - 2588

JO - International Journal of Control

JF - International Journal of Control

IS - 12

ER -

Mixed LQG and H_∞ coherent feedback control for linear quantum systems

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Keywords

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