Mixed LQG and Hcoherent feedback control for linear quantum systems

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)2575-2588
Number of pages14
JournalInternational Journal of Control
Issue number12
Publication statusPublished - 2 Dec 2017


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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