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

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

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
Publication status	Published - 2 Dec 2017

Keywords

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

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

More information

10.1080/00207179.2016.1260162

http://hdl.handle.net/10397/71022

Cite this

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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.",

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

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AU - Cui, Lei

AU - Dong, Zhiyuan

AU - Zhang, Guofeng

AU - Lee, Heung Wing Joseph

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Y1 - 2017/12/2

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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.

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KW - genetic algorithm

KW - H control ∞

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KW - rank-constrained LMI method

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