H∞ filter design for quantum stochastic systems

Author

Xiangyu, Meng ; Lam, James ; Huijun, Gao

Author_Institution

Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong

fYear

2008

fDate

16-18 July 2008

Firstpage

525

Lastpage

529

Abstract

This paper is concerned with the H_infin filtering problem for a class of noncommutative linear stochastic systems, among which quantum technology has been well recognized to be a typical example. A new structure of slack variables is introduced to solve the H_infin filtering problem which gives a sufficient condition for the existence of desired H_infin filters for quantum systems in terms of linear matrix inequalities (LMIs). Two examples from quantum optics are given to show the effectiveness of the proposed approach.

Keywords

H^infin control; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; stochastic systems; Hinfin filtering; linear matrix inequalities; noncommutative linear stochastic system; quantum control theory; quantum stochastic system; quantum technology; slack variable; Algebra; Control systems; Filtering theory; Nonlinear filters; Optical feedback; Optical filters; Optical signal processing; Quantum mechanics; Space technology; Stochastic systems; H∞ filtering; Quantum control theory; Quantum optics;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605632

Filename

4605632