Notes on Coherent Feedback Control for Linear Quantum Systems

Abstract

This paper considers some formulations and possible approaches to the coherent LQG and $H^{\infty }$ quantum control problems. Some new results for these problems are presented in the case of annihilation operator only quantum systems showing that in this case, the optimal controllers are trivial controllers.

A preliminary version is to appear in the proceedings of the 2013 Australian Control COnference