TY - GEN
T1 - Notes on sliding mode control of two-level quantum systems
AU - Dong, Daoyi
AU - Petersen, Ian R.
PY - 2011
Y1 - 2011
N2 - In [Dong and Petersen, Sliding Mode Control of Two-Level Quantum Systems, arXiv:1009.0558, quant-ph, 2010], a sliding mode control approach has been proposed for two- level quantum systems to deal with bounded uncertainties in the system Hamiltonian. This paper further extends these results in two directions. One extension is to consider the effect of uncertainties during the process of driving the system's state back to the sliding mode domain from outside and we propose two approaches to accomplish this control task. The other extension generalizes the previous design approach to consider the uncertainties described as perturbations in the free Hamiltonian.
AB - In [Dong and Petersen, Sliding Mode Control of Two-Level Quantum Systems, arXiv:1009.0558, quant-ph, 2010], a sliding mode control approach has been proposed for two- level quantum systems to deal with bounded uncertainties in the system Hamiltonian. This paper further extends these results in two directions. One extension is to consider the effect of uncertainties during the process of driving the system's state back to the sliding mode domain from outside and we propose two approaches to accomplish this control task. The other extension generalizes the previous design approach to consider the uncertainties described as perturbations in the free Hamiltonian.
UR - http://www.scopus.com/inward/record.url?scp=84866745440&partnerID=8YFLogxK
U2 - 10.3182/20110828-6-IT-1002.00133
DO - 10.3182/20110828-6-IT-1002.00133
M3 - Conference contribution
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 5777
EP - 5782
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -