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Title: Mixed LQG and H∞ coherent feedback control for linear quantum systems
Authors: Cui, L 
Dong, Z 
Zhang, G 
Lee, HWJ 
Keywords: Coherent feedback control
Genetic algorithm
H∞ control
LQG control
Rank-constrained LMI method
Issue Date: 2017
Publisher: Taylor & Francis
Source: International journal of control, 2017, v. 90, no. 12, p. 2575-2588 How to cite?
Journal: International journal of control 
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.
ISSN: 0020-7179
DOI: 10.1080/00207179.2016.1260162
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