Sampled-data control of two-level quantum systems based on sliding mode design

Author

Dong, Daoyi ; Petersen, Ian R.

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

6236

Lastpage

6241

Abstract

This paper presents a sampled-data control approach based on sliding mode design for the robust control of a two-level quantum system, where the control law can be designed offline and then be used online for a quantum system with bounded uncertainties in the system Hamiltonian. Such a control law consists of a periodic sampling process and a Lyapunov control design. A sufficient condition on the relationships between related parameters in the control system is established and the Lyapunov control design is demonstrated by simulation, which can be used to show the required robustness of the quantum system in the presence of uncertainties.

Keywords

Lyapunov methods; control system synthesis; periodic control; robust control; sampled data systems; sampling methods; variable structure systems; Lyapunov control design; bounded uncertainties; control law; control system; periodic sampling process; robust control; sampled-data control; sliding mode design; system Hamiltonian; two-level quantum systems; Equations; Optimal control; Process control; Robust control; Robustness; Time measurement; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6160310

Filename

6160310