1. Mixed LQG and H ∞ coherent feedback control for linear quantum systems.
- Author
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Cui, Lei, Dong, Zhiyuan, Zhang, Guofeng, and Lee, Heung Wing Joseph
- Subjects
H2 control ,FEEDBACK control systems ,QUANTUM mechanics ,MATHEMATICAL equivalence ,GENETIC algorithms - Abstract
The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) andH∞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. [ABSTRACT FROM PUBLISHER]
- Published
- 2017
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