TY - JOUR
T1 - Stabilization of the rotating disk-beam system with a delay term in boundary feedback
AU - Chentouf, Boumediene
N1 - Funding Information:
Acknowledgments This work was supported by Sultan Qaboos university. The author is grateful to the referees for their valuable comments and useful suggestions.
Publisher Copyright:
© 2014, Springer Science+Business Media Dordrecht.
PY - 2014/10/22
Y1 - 2014/10/22
N2 - In this article, the stabilization problem of a rotating disk-beam system is addressed. It is assumed that the flexible beam is free at one end, whereas the other end is attached to the center of the rotating disk whose angular velocity is time-varying. The proposed feedback law consists of a torque control which acts on the disk, whereas a delayed boundary force control is exerted at the free end of the beam. Thereafter, it is proved that the presence of such controls in the system guarantees the exponential stability of the system under a realistic smallness condition on the angular velocity of the disk as well as the feedback gain in the delay term. This result is illustrated by numerical examples.
AB - In this article, the stabilization problem of a rotating disk-beam system is addressed. It is assumed that the flexible beam is free at one end, whereas the other end is attached to the center of the rotating disk whose angular velocity is time-varying. The proposed feedback law consists of a torque control which acts on the disk, whereas a delayed boundary force control is exerted at the free end of the beam. Thereafter, it is proved that the presence of such controls in the system guarantees the exponential stability of the system under a realistic smallness condition on the angular velocity of the disk as well as the feedback gain in the delay term. This result is illustrated by numerical examples.
KW - Delayed boundary force control
KW - Exponential stability
KW - Nonlinear system
KW - Rotating flexible structure
KW - Torque control
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U2 - 10.1007/s11071-014-1592-x
DO - 10.1007/s11071-014-1592-x
M3 - Article
AN - SCOPUS:84910149779
SN - 0924-090X
VL - 78
SP - 2249
EP - 2259
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 3
ER -