Direct and indirect couplings in coherent feedback control of linear quantum systems

Guofeng Zhang; Matthew R. James

doi:10.1109/TAC.2010.2096010

Direct and indirect couplings in coherent feedback control of linear quantum systems

Guofeng Zhang^*, Matthew R. James

^*Corresponding author for this work

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

126 Citations (Scopus)

Abstract

The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems. A general physical model for a nominal linear quantum system coupled directly and indirectly to external systems is presented. Fundamental properties of stability, dissipation, passivity, and gain for this class of linear quantum models are presented and characterized using complex Lyapunov equations and linear matrix inequalities (LMIs). Coherent H^∞ and LQG synthesis methods are extended to accommodate direct couplings using multistep optimization. Examples are given to illustrate the results.

Original language	English
Article number	5648449
Pages (from-to)	1535-1550
Number of pages	16
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2010.2096010
Publication status	Published - Jul 2011

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10.1109/TAC.2010.2096010

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abstract = "The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems. A general physical model for a nominal linear quantum system coupled directly and indirectly to external systems is presented. Fundamental properties of stability, dissipation, passivity, and gain for this class of linear quantum models are presented and characterized using complex Lyapunov equations and linear matrix inequalities (LMIs). Coherent H∞ and LQG synthesis methods are extended to accommodate direct couplings using multistep optimization. Examples are given to illustrate the results.",

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AB - The purpose of this paper is to study and design direct and indirect couplings for use in coherent feedback control of a class of linear quantum stochastic systems. A general physical model for a nominal linear quantum system coupled directly and indirectly to external systems is presented. Fundamental properties of stability, dissipation, passivity, and gain for this class of linear quantum models are presented and characterized using complex Lyapunov equations and linear matrix inequalities (LMIs). Coherent H∞ and LQG synthesis methods are extended to accommodate direct couplings using multistep optimization. Examples are given to illustrate the results.

KW - Coherent feedback

KW - H control

KW - LQG control

KW - dissipation

KW - gain

KW - passivity

KW - quantum feedback control

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JF - IEEE Transactions on Automatic Control

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Direct and indirect couplings in coherent feedback control of linear quantum systems

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