Mixed LQG and H∞ coherent feedback control for linear quantum systems. Issue 12 (2nd December 2017)

• Record Type: Journal Article
• Authors: Cui, Lei; Dong, Zhiyuan; Zhang, Guofeng; Lee, Heung Wing Joseph
• Is Part Of: International journal of control. Volume 90:Issue 12(2017)
• Page Start: 2575
• Page End: 2588
• Publication Date: 2017-12-02
• Subjects: Coherent feedback control -- LQG control -- H∞ control -- genetic algorithm -- rank-constrained LMI method; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2016.1260162
• Languages: English
• ISSNs: 0020-7179

Abstract

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.