Title :
Coherent LQG control for a class of linear complex quantum systems
Author :
Maalouf, Aline I. ; Petersen, Ian R.
Author_Institution :
Sch. of Inf. Technol. & Electr. Eng., Univ. of New South Wales, Canberra, ACT, Australia
Abstract :
This paper considers a coherent LQG control problem for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. For this class of quantum systems, a method for designing an LQG controller which satisfies a physical realizability condition is developed. This result is related to a recent result on constructing strictly positive real LQG controllers. The main idea of the paper involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance.
Keywords :
control system synthesis; differential equations; discrete systems; large-scale systems; linear quadratic control; linear systems; robust control; annihilation operators; coherent LQG control problem; cost function; linear complex quantum systems; optimal performance; physical realizability condition; robust stability; stochastic differential equations; Decision support systems; Europe; Radio frequency; World Wide Web; LMI; LQG control; Quantum Feedback Control; lossless bounded real LQG controller; quantum controller realization; quantum optics;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3