Title :
Finite horizon H∞ control for a class of linear quantum systems: A dynamic game approach
Author :
Maalouf, A.I. ; Petersen, I.R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
fDate :
June 30 2010-July 2 2010
Abstract :
In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using results from a corresponding deterministic problem following a dynamic game approach, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved.
Keywords :
H∞ control; linear systems; stochastic processes; auxiliary classical stochastic problem; dynamic game; equivalent stochastic problem; finite horizon H infinity control; linear quantum system; Control systems; Control theory; Cost function; Differential equations; Game theory; Optimal control; Quantum mechanics; Stochastic processes; Stochastic systems; Uncertainty;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531372
