TY - GEN
T1 - Exact controllability of a wind turbine tower model in the plane of the turbine blades
AU - Zhao, Xiaowei
AU - Weiss, George
PY - 2010
Y1 - 2010
N2 - We derive a model for a wind turbine tower in the plane of the turbine blades, consisting of a non-uniform SCOLE beam system coupled with a two-mass drive-train model (with gearbox). The control input of this wind turbine tower model is the torque created by the electrical generator. Using the theory of coupled linear systems developed by us recently, we show that this wind turbine tower model is well-posed and regular on either the energy state space X c or the domain of its generator on Xc, denoted by X 1c. We also show that generically, this model is exactly controllable on X1c in arbitrarily short time. More precisely, for every T > 0 we show that if we vary a certain parameter in the model, then exact controllability in time T holds for all except three values of the parameter.
AB - We derive a model for a wind turbine tower in the plane of the turbine blades, consisting of a non-uniform SCOLE beam system coupled with a two-mass drive-train model (with gearbox). The control input of this wind turbine tower model is the torque created by the electrical generator. Using the theory of coupled linear systems developed by us recently, we show that this wind turbine tower model is well-posed and regular on either the energy state space X c or the domain of its generator on Xc, denoted by X 1c. We also show that generically, this model is exactly controllable on X1c in arbitrarily short time. More precisely, for every T > 0 we show that if we vary a certain parameter in the model, then exact controllability in time T holds for all except three values of the parameter.
UR - http://www.scopus.com/inward/record.url?scp=79953137452&partnerID=8YFLogxK
U2 - 10.1109/CDC.2010.5717344
DO - 10.1109/CDC.2010.5717344
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AN - SCOPUS:79953137452
SN - 9781424477456
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6914
EP - 6919
BT - 2010 49th IEEE Conference on Decision and Control, CDC 2010
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE Conference on Decision and Control, CDC 2010
Y2 - 15 December 2010 through 17 December 2010
ER -