TY - GEN
T1 - Convergence of a pseudospectral method for optimal control of complex dynamical systems
AU - Ruths, Justin
AU - Zlotnik, Anatoly
AU - Li, Shin
PY - 2011
Y1 - 2011
N2 - Pseudospectral approximation techniques have been shown to provide effective and flexible methods for solving optimal control problems in a variety of applications. In this paper, we provide the conditions for the convergence of the pseudospectral method for general nonlinear optimal control problems. Further, we show that this proof is directly extendible to the multidimensional pseudospectral method for optimal ensemble control of a class of parameterized dynamical systems. Examples from quantum control and neuroscience are included to demonstrate the method.
AB - Pseudospectral approximation techniques have been shown to provide effective and flexible methods for solving optimal control problems in a variety of applications. In this paper, we provide the conditions for the convergence of the pseudospectral method for general nonlinear optimal control problems. Further, we show that this proof is directly extendible to the multidimensional pseudospectral method for optimal ensemble control of a class of parameterized dynamical systems. Examples from quantum control and neuroscience are included to demonstrate the method.
UR - http://www.scopus.com/inward/record.url?scp=84860701226&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6160761
DO - 10.1109/CDC.2011.6160761
M3 - Conference contribution
AN - SCOPUS:84860701226
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 5553
EP - 5558
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -