Mixed LQG and $H_\infty$ Coherent Feedback Control for Linear Quantum Systems
Quantum Physics
2016-11-15 v1
Abstract
The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and 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 (LMI) method and genetic algorithm are proposed for controller design. A passive system (cavity) and a non-passive one (degenerate parametric amplifier, DPA) demonstrate the effectiveness of these two proposed algorithms.
Cite
@article{arxiv.1611.04140,
title = {Mixed LQG and $H_\infty$ Coherent Feedback Control for Linear Quantum Systems},
author = {Lei Cui and Zhiyuan Dong and Guofeng Zhang and Heung Wing Joseph Lee},
journal= {arXiv preprint arXiv:1611.04140},
year = {2016}
}
Comments
21 pages, 1 figure, accepted by the International Journal of Control