TY - GEN
T1 - Feedback control of frictional dynamics
AU - Guo, Yi
AU - Qu, Zhihua
PY - 2006
Y1 - 2006
N2 - Using Lyapunov theory based methods, we analyze the local stability of an array of mechanically coupled particles whose frictional dynamics is described by the Frenkel-Kontorova model, and design feedback controls to precisely control the friction. We first establish the asymptotic stability of the system around the equilibrium positions of the particles. We then show how to construct efficient feedback control laws to achieve any predestined average velocity of the particle array, with no fluctuation, and irrespective of the detailed nature of the inter-particle coupling. These rigorous results arc supported in extensive numerical simulations, and are expected to be applicable to other related physical systems as well.
AB - Using Lyapunov theory based methods, we analyze the local stability of an array of mechanically coupled particles whose frictional dynamics is described by the Frenkel-Kontorova model, and design feedback controls to precisely control the friction. We first establish the asymptotic stability of the system around the equilibrium positions of the particles. We then show how to construct efficient feedback control laws to achieve any predestined average velocity of the particle array, with no fluctuation, and irrespective of the detailed nature of the inter-particle coupling. These rigorous results arc supported in extensive numerical simulations, and are expected to be applicable to other related physical systems as well.
UR - http://www.scopus.com/inward/record.url?scp=39549096967&partnerID=8YFLogxK
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U2 - 10.1109/cdc.2006.377107
DO - 10.1109/cdc.2006.377107
M3 - Conference contribution
AN - SCOPUS:39549096967
SN - 1424401712
SN - 9781424401710
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 6162
EP - 6166
BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
T2 - 45th IEEE Conference on Decision and Control 2006, CDC
Y2 - 13 December 2006 through 15 December 2006
ER -