Title :
H∞ Control of Linear Quantum Systems
Author :
James, M.R. ; Petersen, I.R.
Author_Institution :
Dept. of Eng., Australian Nat. Univ., Canberra, ACT
Abstract :
The purpose of this paper is to formulate and solve a H∞ controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the strict bounded real lemma is presented and from this, a quantum version of the two Riccati solution to the H∞ control problem is derived
Keywords :
H∞ control; Riccati equations; discrete time systems; linear systems; stochastic systems; H∞ control; Riccati solution; linear quantum systems; noncommutative linear stochastic systems; quantum technology; strict bounded real lemma; Australia Council; Control system synthesis; Control systems; Feedback control; Optical control; Optical feedback; Riccati equations; Robust control; Stochastic systems; USA Councils; H∞ robust control; quantum feedback control; quantum optics control; strict bounded real lemma;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377445