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 journalArticlepeer-review

    122 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 languageEnglish
    Article number5648449
    Pages (from-to)1535-1550
    Number of pages16
    JournalIEEE Transactions on Automatic Control
    Volume56
    Issue number7
    DOIs
    Publication statusPublished - Jul 2011

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