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

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.

21 pages, 1 figure, accepted by the International Journal of Control

References in corpus (1)

• Coherent quantum LQG control