TY - GEN
T1 - Parameter identification of hammerstein models using elimination theory
AU - Wang, Kaiyu
AU - Bodson, Marc
AU - Chiasson, John
AU - Tolbert, Leon M.
PY - 2005
Y1 - 2005
N2 - A Hammerstein model is a system model in which the inputs go through a static nonlinearity followed by a linear time-invariant system. Often the static nonlinearity is modeled as a polynomial nonlinearity in the inputs or as a piecewise constant nonlinearity. Such models are nonlinear in the unknown parameters and therefore present a challenging identification problem. In this work, the authors show that elimination theory can be used to solve exactly for parameter values that minimize a least-square criterion. Thus, the approach guarantees the minimum can be found in a unite number of steps, unlike iterative methods that are currently used.
AB - A Hammerstein model is a system model in which the inputs go through a static nonlinearity followed by a linear time-invariant system. Often the static nonlinearity is modeled as a polynomial nonlinearity in the inputs or as a piecewise constant nonlinearity. Such models are nonlinear in the unknown parameters and therefore present a challenging identification problem. In this work, the authors show that elimination theory can be used to solve exactly for parameter values that minimize a least-square criterion. Thus, the approach guarantees the minimum can be found in a unite number of steps, unlike iterative methods that are currently used.
KW - Hammerstein models
KW - Nonlinear least-squares
KW - Parameter identification
KW - Resultants
UR - http://www.scopus.com/inward/record.url?scp=33847236222&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1582695
DO - 10.1109/CDC.2005.1582695
M3 - Conference contribution
AN - SCOPUS:33847236222
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 3444
EP - 3449
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -