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arXiv · 1611.04140

Mixed LQG and $H_\infty$ Coherent Feedback Control for Linear Quantum Systems

Lei Cui·Zhiyuan Dong·Guofeng Zhang·Heung Wing Joseph Lee
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Abstract

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ 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.

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Lei Cui, Zhiyuan Dong, Guofeng Zhang, Heung Wing Joseph Lee. 2016-11-13. Mixed LQG and $H_\infty$ Coherent Feedback Control for Linear Quantum Systems. https://arxiv.org/abs/1611.04140

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